Product Description

Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies.

Customer Reviews (8)

Student Solutions Manual to accompany Boyce Elemen...
This solutions manual does not show solutions to all problems.It skips around randomly.The solutions are not formatted in a math font so answers are hard to read and follow.I found [...] much more helpful and easier to use.

Horrible
Adds virtually NO value whatsoever beyond what you can get for free on [...].I feel like a moron for wasting my money.If I had bought this in a bricks and mortar store I would have taken it back immediately.In no way worth the price.

bought with textbook
came on time and is a good price.only helpful if you actually try the real problems lol.

worst solutions manual EVER!DO NOT BUY.
Like other reviewers have said, the manual does not have solutions for every problem.I'm not so bothered by that as I am by the fact that MANY times, the solutions and the problems don't even match up!Also, when you actually have a problem and solution that does match up, the solution is impossible to understand.I've done pages and pages of math homework from the text book already, and was unable to get anything useful from this book.I think it's fair to call this manual an OUTRAGE!I can't believe it's still in circulation.

Terrible explanations
Instead of a full solution to the problem like most solutions guides, this guide may provide only one part of the solution and leave you from there. Many problems i need help with are not even in the guide whether the problem is odd or even. It seems as though they picked random questions. ... Read more

Product Description
This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to start from some basic results (without proofs) of the easier cases and develop the theory from there, and to concentrate on the proofs of the easier case (which nevertheless are often sufficiently general for many purposes) in order to be able to reach quickly the parts of the theory which is most important for the applications. For the 6th edition the author has added further exercises and, for the first time, solutions to many of the exercises are provided. ... Read more

Customer Reviews (21)

Very good book
With this book you'll impress a potential employer how deep your knowledge of stochastic calculus is. The book has proposed problems with some hints for the solutions. Solving the problems will make you an SDE guru.

A bit dense for non-Math Quants...but worth pursuing
If you aren't a bit of a Math wonk, this book can be a bit daunting.But it is worth wading through the Math if you want to understand the "WHY" behind all those formulas and results.If you are looking for a gentler introduction and the "real formulas" Quants use, check out Paul Wilmott's books.

The text generally starts with an intuitive example for the chapter and then starts methodically working through the underlying mathematics to get to the meaty results.The exercises are worth the effort as they reinforce the chapter work and offer additional insights.

The best book for a first grad course on Stochastic Calculus.
Oksendal is not as formal as KS, Karatzas and Shreve (Brownian Motion and Stochastic Calculus), but it is easier to follow. The exercises in the first five chapters are very informative. Exercises in last chapters are more difficult (as they should be). After studying by this book, you may want to go deeper by using KS.

A very good book!
I read this book after I had read Karatzas' and Shreve's book "Stochastic Calculus..." and it is probably better to do it the other way round. The mathematical prerequisites are not high, however a good intuitive understanding of measure theory is probably necessary. The pace of the book is leasurely, the proofs are such, that pencil and paper is rarely needed, however no rigor is lost.
The book quickly moves to interesting applications of the theory, which is motivated very well.
It contains a few typographical errors, mostly in the last chapter, and mostly of a harmless nature.

With the necessary mathematical background, it seems to be an ideal introduction to this highly interesting topic of stochastic differential equations!

Excellent introduction on Stochastic Differential Equations
A well written book in Mathematics
Stochastic Differential Equations is a branch of mathematics. This book is not just for financial derivatives analysis or modeling. Oksendal first introduces the subject by raising a few stochastic problems (population growth; electric charge in RLC circuit; filtering problems, Dirichlet problems; asset management; optimal portfolio and options pricing) in the first chapter. The subsequent chapters develop notions and techniques which are able to solve wide varieties of stochastic problems (not just those mentioned in the first chapters). The arrangement is impressive in particular for readers who have no previous knowledge about the subject. The readers at least know the target for developing the techniques and would not lose the way when manipulating tons of symbols. Hints and answers to selected problems are invaluable to students for self-study.
To achieve a sound background on stochastic equations is extremely important especially in quantitative finance. It is not an easy job however. QF students may consider going through this book before seriously take Shreve's books on Stochastic Calculus for Finance.
... Read more

Product Description
A clear, concise book that emphasizes finding solutions to differential equations where applications play an important role. Each chapter includes many illustrative examples to assist the reader. KEY TOPICS: The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits.A valuable reference book for readers interested in exploring the technological and other applications of differential equations. ... Read more

Customer Reviews (7)

elem diff e-q's
While the shipping was AMAZING, the book itself is not much use other than as a list of problems.The text explaining the theory behind is written like sandpaper and often jumps around leaving important processes out.It would be a very hard book to use as a solo resource w/o an instructor leading.

Organized very well
I am teaching this course over the summer of 2004 and I find the organization of the book to be very good.I like that each of the sections covers one, and only one, topic at a time.This really allowed me to make a course that works for the summer (when time is severely limited).

The book is very straight-forward in its explanations.However, the exposition is very limited.That means the reader will have to work out a lot of the details.

As a teacher, the book works for me.I can furnish, in class, all of the details that are lacking - that's what they pay me for.

For self study, I would not recommend this book because of the lacking details.I would have to go with the great book by Tenenbaum and Pollard for those that want to self study this subject.

All in all, I really like the book's structure - each section has exactly one point to make, and then exercises to test the one topic in that section.Also, every other chapter has a collection of "miscellaneous problems" that I pull from for the tests.The miscellaneous problems are great, because I can tell my students that those are the problems I am going to use on their tests (a subset at least).That gets the students to work all of those problems (great motivation).

I would give this book 5 stars if an instructor came with the book.Otherwise, it is a good book that leaves many of the simple and intricate details to the reader.

my favourite ODEs text!
I was stuck with Boyce/DiPrima for an ODEs course & I didn't like it, but I found this one in their bibliography & it turned out to be much better. I think there ARE enough examples to make things clear, and lots & lots of problems to work through. Also, it doesn't make a difference to me whether there's a solutions manual or if it has mistakes because I never use one; I just plug the solutions into the equation & see of they work. (I guess if there are mistakes, they should be fixed though)

Elementary Differential Equations
[..]Let me warn all potential customers that this book is all about quantity of material instead of quality. While the book does cover such advanced topics as Fourier Analysis and intro to Partial Differential Equations, the book lacks sufficient examples about what is being said (a number of sections have no examples at all).

I did find the most well-written sections to be the application of second-order differential equations (applied to spring oscillations etc.)However, as far as getting a bang for your buck, I HIGHLY RECOMMEND Morris Tennenbaum and Harry Polland's Ordinary Differential Equations Dover edition (cheaper, and MUCH MORE effective.Trust me).

I second that!
I agree with the review dated March 14, 1999.I'd also like to add that as of Chapter 2, I've found at least three misprints in the solutions manual.Normally, these types of mistakes are not that much of a problem.But this should be unacceptable for any decent technical writing, especially mathematics. ... Read more

Product Description
Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book. For students with little background in linear algebra, a useful appendix covers that subject briefly.
... Read more

Customer Reviews (4)

Great Book
This book is very well written and is worth every penny I paid for it. The authors are very clear,concise and understand the reader. The only drawback is that their Schaum's
Outline has the Finite Element Method, but this book, as detailed as it is, has for some reason omitted it. With that said, I still think the book is very well priced.

Mad props
Everybody out there thinking of writing an Applied PDE textbook should just forget it, you're wasting your time... we already have a perfectly good one: it's here, and it's under $20. Comprehensive, understandable and way ahead of its time in appreciating the importance of numerical methods. With copious examples and stacks of problems, it's good as both a learning and a reference text. The only bad things I can find are a few typos in the finite difference chapters. Outstanding job.

right mix of mathematics, physics, and numerics
Not very special book, but a beautiful price. Down the
line the goal is FEM, but it review different types of
equations with some mathematical rigor and physical
insight.

It's about time this book is back in print.
Kudos to Dover for bringing this book back in print.We used
this book in a partial differential equations course at the
University of Pittsburgh a year ago.Unfortunately, the book
was out-of print then, and we had to use photocopies of the
original Harper & Row edition. (and the school bookstore charged
us about twice the $$ as the Dover edition costs.)The text
begins with the heat equation, and then progresses to more
complicated PDEs.The nice thing is that discrete methods are

introduced right from the start.I remember having a lot of fun
plugging discrete solutions of PDEs into Microsoft Excel and
seeing what the solutions looked like.The chapter on Fourier
Series is good, generalized Fourier series are covered, and
you will learn concepts such as pointwise and uniform convergen-
ce.Following that, there is a chapter on boundary-value
problems which covers Dirichlet, Neumann and Sturm-Liouville
problems.For both Cartesian and curvilinear coordinates.I
can't tell you what is in the later chapters, but if the rest
of the book is like the first three chapters, then it is a great
book, well worth the money. ... Read more

Product Description
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations.

In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs, the wave, heat and Lapace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics. ... Read more

Customer Reviews (1)

Not impressed
I am not impressed with this solutions manual at all.First off, it does not contain all of the problems. Secondly, it states in the text that they tried to include all of the solutions to the difficult problems.This is not true.However I believe having any solutions is better than none, but it would have been nice to know that I was not getting all of them. ... Read more

Product Description
Here's the perfect self-teaching guide to help anyone master differential equations, a common stumbling block for students looking to progress to advanced topics in both science and math.

Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more.

Perfect for a student going on to advanced analytical work in mathematics, engineering, and other fields of mathematical science. ... Read more

Customer Reviews (8)

If you can understand this book, you probably don't need to read it in the first place.
I gave this book such a low rating because it falls way short of the expectations of its intended audience. This book is terrible choice for someone who knows nothing about differential equations and wants to teach themself. The examples and explanations and derivations are difficult to follow and not really any different from what you would find in a typical college textbook. I was hoping to find a book that explained differential equations in plain, simple English and avoided using jargon and confusing symbols. I was disappointed. The author also skips a lot of steps in the examples. The answers in the back of the book are not very well explained. The book is full of problems titled "Now you try" but the answers are not given. How am I supposed to know if I did it right? I feel that the author's mathematical formalism and usage of symbols was out of place. I see nothing wrong with explaining things using language like "now you take this thing here, and derive it, then multiply by this other over here... etc". If you can follow the author, you probably don't need this book in the first place. This book is no more user friendly than a typical 800 page textbook, just shorter and soft cover.

Greatly Underwhelmed
Except for the interesting treatment of Kepler's equations in chapter 2, there is not much to reccommend this version over others. This is a greatly stripped-down rehash of the standard fare: problems, exams and all. I was greatly underwhelmed. Demystification requires at the very least minimal discussions of some of the applications and the nature and utility of differential equations to other areas of mathematics. I found none of that here and thus expected a lot more. Instead of Demystification, it should just be called a "rehashed summary of differential equations."

Great book for review/introduction
I read some of the other reviews before writing this, and -- with all due respect, etc. etc. -- I think some of the other reviewers are missing the point of the entire series (Demystified) books.

The book is intended as a short, pithy, introduction to the topic.It makes no pretense of providing in-depth coverage, either of theory, or of all possible topics.This series of books is intended to provide a survey of many, but not all, commonly used techniques in a field;and it is intended to provide relatively simple examples and exercises so that the self-teaching student can get his/her feet wet.

I've just finished two chapters (and skimmed the rest), and so far I'm very pleased with the level of the treatment.You do need some prior calculus background, but if you have that, the book should be easy to follow.My own background was undergraduate physics, and, years later, I've decided to brush up.The book provides excellent review, as well as introducing me to topics I never quite "got" back in college.

If you want in-depth theory, or more comprehensive coverage of various techniques, or more advanced and challenging examples/home work problems, *or* conditions for solubility, go buy a standard, $100 college textbook on DiffEQs.However, if you want an accessible, inexpensive, brief but not overly-brief treatment of the fundamental techniques of solving differential equations, this book is very good.(By the way, the book includes the basics for at least some partial differential equations, as well as ordinary differential equations.)

Is it perfect?No.There is one subsection, for example, on using DiffEQs to make the connection between Newton's laws and Kepler's laws, and that particular subsection is not entirely clear.But I can forgive an occasional rough spot in a book that is overall clearly written, and well-designed for the self-study student.

Avoid if you're a math student
Avoid this book if you are a math student and need a more rigorous approach that deals with the Lipschitz condition etc. This book doesn't cover the necessary conditions under which one can find a solution, Picard's iteration, or the method of Frobenius, all of which are needed in most math-major type of ODE classes.

If you need a quick reference, Schaum's provides more bang for your buck.

Adequate
This book is a good preliminary intro into ODE's.It does not cover a majority of the higher order solution systems covered in a basic engineering diffy Q class, so beware if that is what youre looking for. ... Read more

Product Description

A Modern Introduction to Differential Equations presents a solid yet highly accessible introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology to treat topics graphically, numerically and analytically. This text is designed to be appropriate for a wide variety of students and exists as a natural successor to any modern calculus sequence.

Customer Reviews (4)

Excellent book
I took ODE class 15 years ago and never had to use it in practice. Now, due to a nature of work I have to go back and refresh my knowledge. This is excellent book for student or anyone who wants to understand how to solve and apply differential equations in real life.
My old professor used dry, formal approach to just manipulate equations and never really taught real life use cases.
Unlike most of textbooks I've seen, this book is self contained, no question is left unanswered. I mean really no question.
If topic is not covered in the main text, author provides all the necessary information in appendix, you will even find introduction to vector algebra and complex numbers. You will never see vague explanation or do it yourself calculation for any formula derivation that is not trivial.
Excellent work. I wish I had a chance to use this textbook long time ago when I took my ODE class.

Your mileage may vary, for the wrong reasons!
This is primarily a response to the startling denunciation in one of the other reviews.

In the last analysis, it isn't hard to learn the particular tricks you need to solve everybody's favorite exam questions--Tennenbaum or the Schaum Series books (Lipschutz?Spiegel?) will help you do that.Many students should go that route, particularly those who have a firm commitment to being able to perform at a minimal level, without being distracted by concepts at all.(This is humor; I do not subscribe to this theory personally.It is sad that I feel obliged to point this out...)

Slope fields are a MAJOR tool to understand what is going on in a differential equation.The fact that software is now easily able to produce slope fields is a FABULOUS advantage to living in these times.Another tool is phase space; I shudder to think what the reviewer would think of that!A semester of classical mechanics should cure people who do not understand the value of phase space.

Unfortunately, most instructors --including myself-- continue to feel obliged to set examinations in which slope fields do not figure largely.A test containing lots of graphics is beyond the scope of what most instructors are willing to do.(I think I've just persuaded myself to try it!)As a result, the typical student is more concerned with the algebraic aspects of the subject (which are admittedly fascinating), rather than the conceptual aspects of the subject.This probably includes the vast number of low-level engineers who do not aspire to use more than 6.7 differential equations in their entire lives, and so do not need to get involved in the concepts too heavily.

At the more advanced level, I suspect that engineers do certainly need to engage in the more subtle and sophisticated aspects of differential equations, dynamical systems and control systems.Unfortunately, they probably do not know what they will encounter as adults while in their sophomore years!Trust me: ODEs are a lot more than algebra.

Ricardo's book is what I intend to adopt.I hope my students will not review the book until the end of the semester!

Arch

Passable at Best
I found this book to be of limited usefulness primarily because it falls into the same trap that seemingly all math textbooks in the US have; over dependance on technology.Over and over again the author tells you to use the mathematic software package of your choice to explore slope fields of some equation.I really don't care about the slope field, maybe I will after I understand how to find particular solutions to nonhomogenous equations (which was not explained well at all imho).Overall, the text doesn't spend alot of time explaining things, and when it does it's not very enlightening.I found the problem sets lacking and the solutions manual wasn't much help. A much better book is the Dover Ordinary Differential Eqn book by Tannenbaum.First published in 1964 (iirc) it's a far superior book.

OUTSTANDING WORK, FROM A BRILLIANT MIND
Off course, what else can anyone expect from the mind of Dr. Ricardo??? I just wish he had already published this book when I was still in my Undergraduate years as a Physics Major. Or perhaps even better: When I used to sit in his classroom. I owe my mathematical skills to the same teaching techniques I see when I read his book: The ability of Dr. Ricardo to explain complex subjects in a simple way, so different from many other instructors, especially at the undergraduate level. That is, not only the ability to get students to see the practical application of mathematical concepts, but to motivate them to do interesting work. I took my differential equations with another teacher, using the De Prima textbook, (a classic) long before Dr. Ricardo published his work. Nevertheless, I just purchased his book, it is part of my library and will remain there as a source of teaching ideas. Reading his work was like if I was still seating at his calculus class.

Also recommended: De Prima: 'Differential Equations and Boundary Value Problems' Powers: 'Boundary Value Problems' Tromba: 'Vector Calculus' Arfken: 'Mathematical Methods For Physicists'
... Read more

Product Description

This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations.

Customer Reviews (5)

Great book
This book talks basically about everything an undergraduate needs to know about partial differential equations.
It explains Fourier series and Fourier transformation very clearly and understandable for people new to it & for somebody wants a little more deep understanding of Fourier theory.
I suggest this book to any math major student and an interested engineering student in PDE.
What this book mess is proofing wave, heat equations from a physics point of view & Finite Fourier sine and cosine transformation method, hopefully that will be covered in the 3rd edition.
In general this book is really a fantastic choice and a book every math student should have.

From a student
I just finished a PDE course using this book, in fact I attend the University where the author teaches and took the course below his office everyday.I would like to agree with the above praise of the book and the author

Partial Differential Equations and Boundary Value Problems
I think this book is Possibly the best Mathematic book for Engineer I've ever read. This is due to the fact that the material is so much clear and the examples are so easy to follow. The book's explanation is precise and accurate. The exercises on every chapter are helpful. I practise almost most of the exercise problems. In fact, I score an "A" on the first Test. I will recommend it to everyone without hesitation.

Initial impressions
Nakhle:Just a quick note to thank you for your book! It arrived Thursday, and I've been reading it and doing the exercises both on paper and in Mathematica 3.0. After a quick review of the whole book and a thorough reading of the first 70 pages so far, I can say I just love it! IfI'd only had a book like this in college and graduate school I'd havebecome a much better electrical engineer. Yours is one of the bestexpositions of both Fourier series and partial differential equations I'veused. Although I haven't gotten very far into the boundary value problemsand the orthogonal functions areas of the book yet, my initial reviewindicates they will be excellent also. I am enjoying your book immensely,and I thank you very much for it. I'll update this with a more thoroughreview when I have a chance to finish the book, but I wanted to share myinitial impressions so others might weigh them into their own decisions toget this excellent book.

A clear introduction to PDEs, Fourier series
This text not only provides a simple and easy-to- read-the-first-time guide to solving PDEs with Fourier series, it also is chock-full with all the necessary details and includes many interesting problems.I took acourse out of this book as a sophomore in college and found it veryinteresting and useful.The style and difficulty is very similar to atypical undergraduate ordinary differential equations book, except this isbetter organized.

The subjects include a small bit on characteristics forfirst-order equations, a chapter on trigonometric series, PDEs inrectangular, polar, and spherical systems and associated eigenfunctionexpansions, Sturm-Liouville theory, the fourier transform, Laplace/Hankeltransforms for PDEs, grid-type numerical methods, sampling & discreteFourier analysis, and quantum mechanics (the Schrödinger equation).

Thisbook is definitely great for applied mathematicians, physicists, orengineers whoreally need a solid introduction to the topic, written bysomeone who knows all the details.Any treatment in "mathematicalphysics" courses on PDEs will fall short of this book's content.

Ofparticular importance are the inclusion of special sections for Besselfunctions, Legendre polynomials, associated Legendre functions, sphericalharmonics, etc.All the details of solution and many exercises areincluded.

The most interesting parts of the book are towards the end,with the Sampling Theorem and discrete Fourier transform; and the proof ofHeisenberg's uncertainty principle.

This book is also useful for moretheoretical mathematicians or mathematical physicists who need anintroduction to PDEs before taking a more difficult course on generaltheory.

In short, I think that even though this book is of great utilityto non-mathematicians, it is proper to learn these concepts and techniquesin a proper math setting where care is taken.This text is a solidfoundation for confident application and a springboard towards moreadvanced subjects. ... Read more

Product Description

The Sixth Edition of this acclaimed differential equations book remains the same classic volume it's always been, but has been polished and sharpened to serve readers even more effectively. Offers  precise and clear-cut statements of fundamental existence and uniqueness theorems to allow understanding of their role in this subject. Features a strong numerical approach that emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques. Inserts new graphics and text where needed for improved accessibility.A useful reference for readers who need to brush up on differential equations.

Customer Reviews (5)

Amazing book
I bought the 5th edition of this book for my Differential Equations course and I am extremely satisfied with it. This bookis clearly a great source for anyone interested in the subject. It has plenty of great examples in each chapter and it also includes many problems at the end of each section. Just make sure that you buy the book WITH "Boundary Value Problems" which includes two extra chapters: "Fourier Series Methods" and "Eigenvalues and Boundary Value Problems".

Broken spine
These textbook publishers must be making a fortune when they release a new version with the same material every year and charge over $100 for a book you HAVE to buy. The least they could do is make a quality product. Unfortunately, the spine on my copy is already broken and it's only a matter of time before pages will start falling out. I would recommend not buying this book, but it's not like you have much of a choice if you need it.

Helpful for math majors only
I've used this book during my differential class over the last semester.The problems in the book are carried out well and the back of the book has even and odd answers to help your understanding.For math majors, this book is great because it really wants you to "experience" the world of diff EQ, but for engineers or others taking it as a side class, it doesn't offer good examples for getting the job done.A good instructer can correct this though.As a book, 3 stars.

Very good
Fast and its just brand new, he never opened the books

Good book but a strong background on calculus required.
This book will tell you everything you need to learn on differentialequations.It covers thoroughly the methods for solving first and secondorder differential equations.The book also extends into Fouriertransforms.I used this book at MIT for the differential equations classand found it very useful. Within its contents, matlab exercises are presentand some simple projects which lets the student apply its knowledge. Theonly problem with the book is that it can be hard to read at certainpoints.Also the author assumes a strong background in calculus. ... Read more

Product Description
This revision of Boyce & DiPrima's market-leading text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences.

Student Solutions Manual:

Created as an integral learning aid to Boyce and DiPrima's Elementary Differntial Equations, 8E, this Solutions Manual provides worked out answers to select problems in the text.Using the Solutions Manual as you work your way through the course will ensure that you are doing the work right all along. ... Read more

Customer Reviews (15)

Elementary DE and Boundary Problems SSM
Not a complete set of answers like I thought, But it does have many useful problems worked out.

Not What I Expected
The product reads: Students Soluntions Manual to accompany Boyce Elementary Differential Equations and Boundary Value Problems (paperback), only to find out there was no book, only a pdf file.Disappointed.

Not thrilled....
This solutions manual hasn't really helped me. A lof of the times the authors just leave the problem unsolved and describe how you would solve it. Whats the point of a solutions manual that doesn't give you the solution?

Differentials
It's better than nothing..

Doesn't show all steps to solving problems.Basically you have to go step by step in figuring out what the book did.

Not all problems are solved like in most solutions manuals, just random problems.

This book sucks.
I'm currently taking ordinary diff EQ and I got this thinking why not...This is the worst solutions manual ever.It solves random problems, and sometimes it will solve a problem with a different method then the book has for that particular section.I have only opened this book up 2x, both times the problems I wanted answers to were not there...Have fun. ... Read more

Product Description
Utilizing MATLAB's computational and graphical tools right from the start, this analysis of differential equations helps users probe a variety of mathematical models, encouraging them to develop problem-solving skills and independent judgment as they derive mathematical models, select approaches to their analysis, and find answers to the original physical questions. Providing immediate graphic and numeric support, it demonstrates how physical problems motivate the central ideas and techniques of differential equations, showing how they model physical phenomena by examining ideas from four perspectives: geometric, analytic, numeric, and physical.Introduces qualitative analysis and numerical methods for scalar equations and systems early on, without sacrificing coverage of the most important traditional analytical methods. Fully integrates MATLAB into the text and exercises, and uses mathematical models of physical problems throughout to emphasize the interplay between the physical problem and the analytic, graphical, and numeric information available from the differential equation model. Seamlessly integrates over 1,400 exercises, open-ended chapter projects, and motivational 'Thought Questions'.For scientists and engineers. ... Read more

Customer Reviews (2)

A very good ODE textbook for modeling, good problem solving
This is a very good book for differential equations, with good modeling examples, good problem sets.

You do not have to use Matlab if you do not want to have that part.

No MATLAB syntax
If you're looking for a book to learn how to model differential equations with MATLAB, don't buy this book. No examples in MATLAB are given, only references to what commands in 'DELAB' (The author's MATLABinterface) can be used to solve problems. I purchased and returned thisbook. ... Read more

Product Description
Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence.The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, the application of Pade approximants to systems of ordinary differential equations for parabolic and hyperbolic equations, and a considerably improved presentation of iterative methods.A fast-paced introduction to numerical methods, this will be a useful volume for students of mathematics and engineering, and for postgraduates and professionals who need a clear, concise grounding in this discipline. ... Read more

Customer Reviews (1)

Excellent introductory book on Finite Difference Method
I first used this book a long time ago (1988) when the third edition of it just came out, while I just got a chance to write a review on it much much years after that. It was a required graduate textbook at an Ivy League college. It discussed in depth the finite difference technique applied to the parabolic, elliptic, and hyperbolic types of PDEs. The thing that I really like about this book is, besides having not too much details on mathematical derivations, it gives examples on how to do the calculations by hand. Thus when one would like to "translate" all these calculations into a computer program one could easily test the results (or expected results). Of course there are a lot more books out there talking about finite difference technique but they are perhaps 20 bucks or more expensive than this book. The only minus about this book is it was printed in soft cover, even though mine is still in a very good condition after almost 16 years! I recommend this book for those beginners on finite difference method. I am currently using this book for one of my course. ... Read more

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Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Troltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization. ... Read more

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Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linearwave equations and a brief introduction to Laplace transform solution ofpartial differential equations.For scientists and engineers. ... Read more

Customer Reviews (16)

Terrible book.Does not properly explain even the most basic topics
Unless you happen to already be a math PhD or child prodigy, do not listen to the 4 and 5 star reviews.For us mere mortals, this is a terrible textbook.Instead of laying out proofs as formulas, almost everything is in paragraph form.In addition, the author has a terrible habit of saying "Given premise A, one can easily come to conclusion Z" with no mention of steps B through Y.This is not for the problems marked difficult at the end of the chapter.This is the first thing that he will say at the introduction of a topic.Do yourself a favor and look at Springer's undergraduate math series books in partial differential equations.Also, you can google "Paul's Math Notes".This will at least give you the basic introduction you need to understand the heat, lagrange, and wave equations.

Applied Partial Differential Equations - Review
The book was in very good condition when it arrived. It was a used book, but well kept. It seems that some kind of liquid was either accidentally poured over it, or most likely, the book feel into some kind of puddle of water. Nonetheless, everything is clearly visible and A OK!

Overall understandable.
Decent textbook. Explains when mathematical constraints are imposed for the sake of physical phenomena, and generally makes no tricky leaps when explaining things. Conveys relatively clearly and isn't afraid to resort to less-than-rigorous language at all times.

My Take: I teach from this text
I have taught a graduate level "mathematical methods for engineers" course (or any of the similar name permutations) for many years. My course is essentially a two-semester course in PDEs with associated topics thrown in: it is truly a combination of PDEs with engineering physics problems. I have struggled to find a satisfactory text and have tried many different ones in the process. I find Haberman is ultimately the best choice. Perusing the reviews, I am not surprised to see the criticisms there. This subject matter is sometimes to obscure for engineering/physics students but too superficial (e.g. lacking in proofs and formalism) for purists in mathematics. It's a tough line to walk and nothing is perfect out there. My opinion is that Haberman does a very nice job balancing the physics with an appropriate amount of mathematical detail. Are there topics I'd like to see that aren't? Sure, but that's always going to be true. The all-inclusive text would be multiple volumes and a thousand pages and probably still some would complain important topics are left out.

The closest other text is the PDE text by Nakhle Asmar (I've used that too for a couple of years). It spends more time on special functions and is nice in that regard. However, it definitely falls short in important categories, most notable the whole topic of Greens functions is not introduced.



For my opinion

well organized with good examples
I found this book much more explanatory than another book I had purchased for a different partial differential equations class.This book does just what it says, it is more applied, and I found that much more useful as I am a scientist.They do a fairly good job of explaining why they are doing things, and have appendixes to show more of the gory detail of a derivation than they show in the regular text if you want it. ... Read more

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Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software.

Fundamentals of Differential Equations, Seventh Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals of Differential Equations with Boundary Value Problems, Fifth Edition, contains enough material for a two-semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).

Customer Reviews (16)

Not hard.The examples are usually good or ok.Exposition is awful.
The problems are usually not hard.Some problems require a lot of algebraic manipulation.

The examples usually cover most problems at the end of the chaper.Study the examples carefully and you should be able to do most problems.

The exposition/explanation is poor.You just cannot understand what the authors are trying to say.

Some problems are not explained in the text.For example, in section 1.2 there are a few problems about "one-parameter family of solutions", but the text does not have anything about "one-parameter family of solutions".Then you have to look up the definition online.

If you are a student, you will have to consult online resources and other textbooks.If you are an instructor, please do not use this book.It will not help students learn.

Confusing and Incomplete
This textbook lacks clear examples, explanations, and relevant homework problems. It will bog you down in lines of computations without adequate context. I don't recommend using this book, especially if you are trying to learn the material on your own. If you have to use it for a class, you have my empathy.

Great condition
I got just what I expected in pretty good condition. It was definitely a bargain!

A very good textbook, just not quite right for me
As an instructor at a small college, I am called upon to teach nearly every course in the mathematics curriculum. Therefore, I spend a great deal of time trolling for textbooks, as I never know from one year to the next what I will be teaching. I examined this book for possible adoption as a text for a single semester course in differential equations. My conclusion was that it is acceptable, but since it contains enough material for a two semester sequence, it must be assigned a rank lower than those that cover only a single semester.
However, I do strongly approve of the pedagogical approach taken by the authors. Their use of blue highlighting for the important formulas is eye-catching and effective. As I scanned through the book it was sometimes easier to determine the topic of a section by looking for the equations that were in blue. The exposition made the material easy to follow and the many worked and varied examples make the coverage complete.
I was also pleased to see the occasional theorem with proof. While courses in differential equations are largely, "give the technique(s), here is how to use it", it is still an upper division math course and an occasional proof is certainly reasonable and effective. The authors also include a short set of technical writing exercises at the end of the chapters and there are plenty of exercises with answers to the odd-numbered ones included in an appendix. While I don't think that I would ever make use of the technical writing exercises, I am sure that there are others who would take advantage of the opportunity.
In conclusion, even though I was impressed with this book, I doubt that I would adopt it. The differences between differential equation texts tend to be rather small, so the fact that this book is suitable for a two-semester sequence is enough for me to continue to look elsewhere.

Fundamentals of Differential Equations, Sixth Edition
the book was in perfect condition just like the seller said so. ... Read more

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"An exceptionally complete overview. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something for everyone here.this reviewer feels that it is a very hard act to follow, and recommends it strongly. [This book] is a jewel."-Applied Mechanics Review

This expanded and enlarged second edition presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Methods and properties of solutions, along with their physical significance, help to make the book more useful for a diverse readership.

Topics and Key Features:* Thorough coverage of derivation and methods of solutions for all fundamental nonlinear model equations which include Korteweg-de Vries, Boussinesq, Burgers, Fisher, nonlinear reaction-diffusion, Euler-Lagrange, nonlinear Kleine-Gordon, sine-Gordon, nonlinear Schrödinger, and Whitman equations* Systematic presentation and explanation of conservation laws, weak solutions, and shock waves* Solitions and the Inverse Scattering Transform* Special emphasis on nonlinear instability of dispersive waves with applications to water waves* Over 500 worked examples and end-of-chapter exercises with hints and answers to selected exercises

New features of the Second Edition include:* Improved presentations of results, methods of solutions and proofs * New section on Sturm-Liouville Systems and their fundamental properties * Revised examples, exercises, and updated applications * Several revised nonlinear real-world models that include traffic flow, flood waves, chromatographic models, sediment transport in rivers, glacier flow, and roll waves* Completely updated list of references

Nonlinear Partial Differential Equations for Scientists and Engineers is an exceptionally complete and accessible text/reference for graduate students, researchers, and professionals in mathematics, physics, and engineering. It can be used in graduate-level courses or as a self-study resource. ... Read more

Customer Reviews (1)

Nonlinear PDE's
This is a great book! Take it from an average student, this book is good! It really gets the point across in a way that those of us who are average can understand and learn. I love the book! ... Read more

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Product Description
The CLASSIC EDITION of Zill's respected book was designed for instructors who prefer not to emphasize technology, modeling, and applications, but instead want to focus on fundamental theory and techniques.Zill's CLASSIC EDITION, a reissue of the fifth edition, offers his excellent writing style, a flexible organization, an accessible level of presentation, and a wide variety of examples and exercises, all of which make it easy to teach from and easy for readers to understand and use. ... Read more

Customer Reviews (7)

Dry math text, hard for me to get motivated beyond grades...
Simply straight forward mathematics. Hard for a non-nerd-_by_birth to desire to crack this text. Only the grade kept me going all semester (ended with B).
To be clear though, I have not yet found an interesting Diff Eq text!

Good luck,

Excellent Highly Recommend
I ordered this book and had it within 3 days. Way before it was promised and it was in excellent condition.I would highly recommend doing business with this seller.

great
delivery took a while because it had to be shipped from overseas, but it arrived in great condition.

A good text on ordinary differential equations with good examples
This particular textbook concerns ordinary differential equations. There are plenty of examples, and they are worked in steps that should make the solution strategy clear to any student with at least two previous semesters of calculus. One of the unusual features of the book are essays written by mathematicians present at the end of chapters 3, 4, 5, and 9. Each essay concerns applications of concepts learned in the previous chapter. The book is well illustrated, and motivations for study are included by making the examples solve practical problems such as the charge on a capacitor, solving orthogonal trajectories of the family of a rectangular hyperbola, or even determining the half-life of a radioactive substance. This makes it ideal for engineering students. There are numerous exercises at the end of each chapter and the solutions to odd numbered problems can be found in the back of the book. The following is the table of contents:

1. INTRODUCTION TO DIFFERENTIAL EQUATIONS
Basic Definitions and Terminology / Some Mathematical Models / Review / Exercises
2. FIRST-ORDER DIFFERENTIAL EQUATIONS
Preliminary Theory / Separable Variables / Homogeneous Equations / Exact Equations / Linear Equations / Equations of Bernoulli, Ricatti, and Clairaut / Substitutions / Picard's Method / Review / Exercises
3. APPLICATIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS
Orthogonal Trajectories / Applications of Linear Equations / Applications of Nonlinear Equations / Review / Exercises / Essay: Population Dynamics
4. LINEAR DIFFERENTIAL EQUATIONS OF HIGHER-ORDER
Preliminary Theory / Constructing a Second Solution from a Know Solution / Homogeneous Linear Equations with Constant Coefficients / Undetermined Coefficients: Superposition Approach / Differential Operators / Undetermined Coefficients: Annihilator Approach / Variation of Parameters / Review / Exercises / Essay: Chaos
5. APPLICATIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS: VIBRATIONAL MODELS
Simple Harmonic Motion / Damped Motion / Forced Motion / Electric Circuits and Other Analogous Systems / Review / Exercises / Essay: Tacoma Narrows Suspension Bridge Collapse
6. DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
Cauchy-Euler Equation / Review of Power Series; Power Series Solutions / Solutions About Ordinary Points / Solutions About Singular Points / Two Special Equations / Review / Exercises
7. LAPLACE TRANSFORM
Laplace Transform / Inverse Transform / Translation Theorems and Derivatives of a Transform / Transforms of Derivatives, Integrals, and Periodic Functions / Applications / Dirac Delta Function / Review / Exercises
8. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
Operator Method / Laplace Transform Method / Systems of Linear First-Order Equations / Introduction to Matrices / Matrices and Systems of Linear First-Order Equations / Homogeneous Linear Systems / Undetermined Coefficients / Variation of Parameters / Matrix Exponential / Review / Exercises
9. NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS
Direction Fields / The Euler Methods / The Three-Term Taylor Method / The Runge-Kutta Methods / Multistep Methods / Errors and Stability / Higher-Order Equations and Systems / Second-Order Boundary-Value Problems / Review / Exercises / Essay: Nerve Impulse Models / APPENDIX I: GAMMA FUNCTION / APPENDIX II: LAPLACE TRANSFORMS / APPENDIX III: REVIEW OF DETERMINANTS / APPENDIX IV: COMPLEX NUMBERS / ANSWERS TO ODD-NUMBERED PROBLEMS

I had a good deal on this text boook
It was at a good price, and also it was what I was looking for.
... Read more

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Product Description
The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout.

The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators. ... Read more