Book Description
A revised, updated edition of this classic Schaum's Outline which has sold approximately 1,100,000 copies since 1968. The book is completely modernized both in terms of mathematical content and language. Lists of formulas for derivatives and integrals have definitions and explanations added for easier understanding and some material on analytic geometry has been added. There are over 1,000 solved problems and hundreds of supplementary problems. ... Read more

Customer Reviews (3)

Pure Calculus
This is a great book for anyone who wants to learn or supplement his or her knowledge of the subject.I have used this book for my first year of college calculus and thanks to it I received an A, because of that I will continue to use it, it helps you understand the problems, but you actually have to think about them, you have to find out how equations are related and/or used, that is calculus, Calculus involves thinking if it didn't then anyone could be a physicist.

student
As I will be starting undergra engineering this fall(sept 00), I bought this book because I thought it would be a good supplement to my regular upper level calculus book from my senior year and thought it would be ofsome use in university. I really found this book to be a dissapointment(aswell as shaums 3000 solved problems in calculus). The way the material ispresented is not clear at all.The problem solutions are hardly presentedin a way in which the reader can understand and learn from them. They justconfuse the reader even more. As I have found with all Schaum's outlinesand solved problems books, they are of poor quality and of no real use toanyone. Try Harcourt Brace Jovonovich calculus (search HBJ Calculus). It ismuch better

Excelente libro
Es un libro excelente, que presenta en cada capítulo, una breve introducción teórica con los puntos más resaltantes y una cantidad de problemas resueltos de buen nivel de dificultad. Recomiendo a aquellaspersonas que se inician en el estudio del Calculo Infinitesimal ... Read more

Book Description
KEY MESSAGE: In Microeconomics: Theory and Applications with Calculus,Perloff brings his hallmark pedagogy to the calculus-based course byintegrating Solved Problems and real, data-driven applications in everychapter. This new text offers a serious presentation of calculus-basedmicroeconomic theory and offers a suite of carefully crafted,calculus-based problem sets at the end of each chapter.

Introduction; Supply and Demand; A Consumer’s Constrained Choice;Demand; Consumer Welfare and Policy Analysis; Firms and Production;Costs; Competitive Firms and Markets; Properties and Applications ofthe Competitive Model; General Equilibrium and Economic Welfare;Monopoly; Pricing and Advertising; Oligopoly and MonopolisticCompetition; Game Theory; Factor Markets; Uncertainty; Externalities,Open Access, and Public Goods; Asymmetric Information; Contracts andMoral Hazard.

For all readers interested in calculus-based intermediate microeconomics. ... Read more

Book Description
From differentiation to integration - solve problems with ease

Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or, worse yet, not know where to begin? Have no fear! This hands-on guide focuses on helping you solve the many types of calculus problems you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with limits, continuity, curve-sketching, natural logarithms, derivatives, integrals, infinite series, and more!

100s of Problems!

• Step-by-step answer sets clearly identify where you went wrong (or right) with a problem
• The inside scoop on calculus shortcuts and strategies
• Know where to begin and how to solve the most common problems
• Use calculus in practical applications with confidence

Customer Reviews (7)

Calculus for Dummies is Not for Dummies
I used this book to brush up on my Calculus before the CSET, however this book was only a gloss over of what Calculus really is.This book is more about memorizing techniques and methods, than learning what Calculus really means and represents.I have my BA in Math and would only recommend this book to people who have substantial background in math, but need to brush up on the concepts.

Perfect Dummy Book Companion
I got this workbook to go with the Dummies Calculus book as a suplement to my classes.It really helps to have additional problem made for you for practice.It has helped me study for tests countless times!

Good transaction
The book came in on time and the supplier was prompt with the whole deal. Actual description described by the seller was what came.Keep it up!

Calculus
Great book helped me through a mid-term when the teacher had lost me and most of the class.so good classmates wanted to borrow it.

Good Practice for Beginning Calculus!
This workbook is an excellent companion to Ryan's book _Calculus for Dummies_. In fact I might go so far as to say the two should be considered one volume. In this book you'll find the extra exercises and problems that may not have been copious enough in the _Calculus for Dummies_ book alone. And of course he also walks you through the solutions. I might have wished for more problems instead of the space to actually work them in the text, but that is a minor detail. Overall this is part of a set that serves as an excellent introduction / preview / study aide to beginning calculus. Although I suppose this work could be used alone by someone just wanting to brush up on their calculus via some worked problems. Either way its a good buy. ... Read more

Book Description
Aimed primarily at higher level undergraduates in the mathematical sciences, the author provides the reader with a deep understanding of the uses and limitations of multivariate calculus by the integrated use of geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. On reading this book the student will acquire the confidence and techniques necessary to tackle new problems. In this revised edition, which includes additional exercises and expanded solutions, Seán Dineen gives a solid description of the basic concepts, via simple familiar examples which are then tested in technically demanding situations. The author recognises the varied backgrounds students bring to the subject and only assumes the minimal prerequisite knowledge necessary for a comprehensive and unified understanding of the Differential, Integral and Geometric Calculus of Several Variables. ... Read more

Book Description
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course! ... Read more

Customer Reviews (59)

calculus: good book
It's a very good book which I really enjoy reading it. It's easy to understand and some examples are very specific to comprehend the problem.

Perfect delivery, perfect condition
I got this in panic through overnight shipping, it was at my door at 10 the following morning.Perfect condition.

Ordering was off
I ordered this book a month before classes started but it didn't arrive until about 2 weeks after classes started. If you are looking to get it order it early.
Other than that is in perfect condition and I am not having any issues with it.

best
i ordered it and got it in a very good condition and in time. customer service is awesome. my blessings. keep up the good work.

the greatest calclulus text ever written ,...EVER
How can anyone possible B*tch at such an amazing book. Clear, insightful, helpful, relevant etc...etc.... don't forget that the author threw in proofs for anyone who wants to be math major. O did I mention how f-in clear this text is. Here's the deal, people who don't like this book fall into two categories: wannabe engineers who hate the fact that they have to take calculus in the first place and math majors/mathematicians who say that not enough theory is covered, well duh that's why the course called "advanced calculus" was invented. Let's face the fact'sfokes, there is a reason why community colleges and ivy league schools alike use this text because its student friendly and is designed with COMMEN sense, something I might add is lacking in the mathematical community but definitely not lacking in this book.
P.S. Thanks DR.S I love math because of you
... Read more

Book Description
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course! ... Read more

Customer Reviews (1)

Excellent Textbook
This book was very helpful and insightful towards me learning calculus. The book was very understandable and a better investment then buying the Single Variable book. ... Read more

Book Description
Success in your calculus course starts here! James Stewart’s CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course! ... Read more

Customer Reviews (1)

Typical Math Textbook
I feel sorry for the non-math inclined person who has to take an online Calculus course using this textbook. Math teachers rarely teach math the way the math textbook they use explains the topic. Typically a math teacher shows you how to solve problems then (sometimes) shows you why things work that way. This book, like typical math texts, gives a short written introduction to each topic then dives right into full-blown examples with the whys and hows all jumbled together. As a math person, this is workable for me as I can pull it all apart and reprocess it back together and I appreciate the in-depth analysis, but a non-math major could get lost very quickly. ... Read more

Book Description
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course! ... Read more

Customer Reviews (10)

Stewart FTW
This book is worth every penny. Stewart is recognized as one of the best calculus texts available among professors at my community college.

Its a typical math book
Its nth special... a book which covers what you need for calc III but the explanations arent the easiest to understand... Their are lots of questions though which makes it a good book for practice... They should make some of their explanations more clearer and I would have given it 4 stars.

Stewart Solution Manual for Calculus
This is NOT the solution manual for the second half of Stewart's Calculus, 5th Edition (Thomson Publishing).It's part 2 for an earlier (obsolete?) calculus book.If you need the solution's manual for Edition 5, order Dan Clegg's Student Solutions Manual for James Stewart's (Multivariable) Calculus (Thomson Publishing, 2003).

Not too bad...
I thought the text wasn't too bad, but considering the material until about chapter 17 was quite easy, that is really not saying much. The book didn't give appropriate examples of all the different special cases of line and surface integrals, which made 17.3-17.7 quite difficult; I had to learn surface integrals elsewhere. This book wasn't horrible, but I wouldn't recommend it.

could be better but does the job.
the chapter on vector calculus was confusing and the examples were ridiculous in that they didn't fully teach the concepts. if you want a real calculus book, try Anton. half of our class used Anton's Calculus to learn the material since the chapters are in the same order pretty much. ... Read more

Book Description
This compact yet thorough text zeros in on the parts of the theory that are particularly relevant to applications . It begins with a description of Brownian motion and the associated stochastic calculus, including their relationship to partial differential equations. It solves stochastic differential equations by a variety of methods and studies in detail the one-dimensional case. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions, and presenting a quick course in weak convergence of Markov chains to diffusions.The presentation is unparalleled in its clarity and simplicity. Whether your students are interested in probability, analysis, differential geometry or applications in operations research, physics, finance, or the many other areas to which the subject applies, you'll find that this text brings together the material you need to effectively and efficiently impart the practical background they need. ... Read more

Customer Reviews (3)

A must-read for people willing to truly understand stochastic calculus!
Given the two previous reviews of Prof. McCauley and "Cupcake", I thought I need to say something here.

This book is among the best textbooks on stochastic calculus. Right, it is indeed not an "introduction", but it is by far the most interesting book on the subject regarding many aspects. The choice of the author to focus on continuous local martingales, leaving aside processes with jumps, allows a complete exposition of the general theory, without unwanted complications. The authors sticks to what is essential for a good understanding of the topic, avoiding to take useless detours talking about "F/F*/F*'-progresssively measurable processes" or who knows what, as it is too often the case in math textbooks on the same topic.

I agree that the book requires some effort to read, but it is worth it!

A practical introduction not so practicle
I took this book hoping that it can help me learn fast the important concepts of stochastic calculus.I liked the fact that it has exercises with complete solutions, and the friendly presentation.However there are some aspects that I did not like about the book.First thing is that Durrett is not so precise in the proofs of the theorems.Here are several examples.

In Theorem (2.4) he proves that continuous local martingales localize to bounded martingales.I did not understand why it is important to have continuity, and the proof does not give any hints towards this.It is true that even in Rogers & Williams you do not see that.My guess is that the first exit time becomes a stopping time if the process is continuous.

Durrett also does not say in the proof of Theorem (2.4) why he can apply the Optimal Stopping Theorem (2.3) since he did not mention that the stopped martingale is uniformly integrable.

In Theorem (3.1) he defines the variance process of a continuous local martingale.I had troubles with the proof of uniqueness of Theorem (3.1).He does not say why the difference of the processes is of local bounded variation.This fact is crucial for the proof.

The book is good in combination with Rogers & Williams.

Written by the priesthood for the priesthood?
I bought this book after reading in the last chapter of Steele's "Stochastic Calculus" that this would be a good reference for constructing martingales via pdes for the case of x-dependent diffusion coefficients. An introduction, this book certainly is not, nor is it practical or even useful for nonspecialists. I can hardly imagine a worse divergence between reality and an author's stated belief of what the book really is. Richard Durrett states in his introduction that he intends to present coherently the material that would otherwise require understanding many other difficult books. He also complains that his former editor refused the ms, so he went to CRC. Like many other topics in the book, e.g., "Martingale" is not defined, the author simply refers to his other books! Steele's book is extremely difficult: I cannot follow many of his proofs but his examples are stimulating and can be worked out. The examples show how the theorems work, which is practical. Generally, one example is worth a thousand theorems. Durrett's book is 'practical' in that he does offer exercises, and apparently Steele took his execises from this book. I would have wished for better editing, all authors suffer from too little criticism.

Note added later (and I should have given 2 stars): Durrett's 1984 book "Brownian Motion and Martingales in Analysis" looks somewhat more readable and has some examples. In fact, the examples in Steel, as well as the Martingale discussion of his last chapter, may be motivated by or come from the 1984 book. It's often the case that an author's later books on a particular subject are not as good as his earlier ones. Warning: the 1984 book is also written in highly impenetrable mathematese.

Notes added after 3/2007:

1. 'Levy's theorem', pg. 111: take care not to conclude that martingales with variance linear in t are equivalent to a Wiener process, they generally are topologically inequivalent! E.g., for the exponential process with Hurst exponent H=1/2 one obtains E(x^2(t))=2t, and the factor of 2 makes all the difference, formally. More generally, consult Durrett's integration by parts formula (10.1) in part 2.10: since is generally not t, X^2(t)-t is generally not a martingale. Financial math texts tend to advertise falsely that all martingales are Wiener processes.

2. Instructive derivation of the Coulomb Green function from the martingale defined by the Poisson eqn.

3. The Girsanov factor for Ornstien-Uhlenbeck given on pg. 204 is wrong, see my revierw of the 1984 book for the correct factor. Better yet, work it out for yourself.

4. A statement on pg. 212 is wrong on acount of violating the warning of 1. above: an arbitray martingale is topoligically inequivalnt to a Wiener process!

5. Part 6.4. Very nice, and related to the Coulomb construction: or a class of odes the Green function is given by a martingale constructed from the corresponding Ito process. Sorely and sadly missing: explanation how the boundary terms vanish (to create the desired martingale) at the stopping time. Even worse, the Ito process is sidesteped in favor of a standard construction from odes which hides the role of the stopping time andhow one can handle it! Note that the 7th eqn. on pg. 223 is wrong, the correct one is the 3rd eqn. The two are not equivalent unless the underlying Ito process is Wiener, and it generally is not. ... Read more

Book Description
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course! ... Read more

Customer Reviews (5)

GOOD DEAL
It is the most cheapest that i can find online. Also it is cheaper than any other online bookstore. Love it. it is 50-60 cheaper than the campus bookstore.The book include the reference paper and can be teared easily. I love this book and the amazon.com. (^-^).

Calculus: Explained
This is your basic Calculus Course Book. The book is written very well, if you have any misunderstandings of how to work a problem this book help greatly.

Meh...
I taught Multivariable Calculus using this book as a TA. You will learn multivariable calculus, it's just as good as any other calculus text but with two major problems!

1) It does Taylor no justice! The multivariable version of the Taylor Approximation is absent. The author mentions linearizing a given function [of two variables] and thats it! C'mon! This is such an important aspect of math, physics, engineering, etc... why drop it?

2) The chapter on Gauss' Theorem, Stokes Theorem (Green's as well), and the Fundamental Theorem of Calculusis poor, it provides little by way of intuitively understanding these integral theorems. As an added bonus (sarcasm), students, I find, have a harder time geometrically and physically understanding what the Curl and Divergence of vector fields represent! This is most unfortunate, especially for future physicists and engineers!

There are books out there that would complement Stewart on this: "Div, Grad, Curl, And All That" by Schey is one of them; the book written by Marsden and Tromba is also a good place to go for both the integral theorems and the Taylor Polynomial.

Other than this unfortunate turn of events, Stewart IS a good book. I do recommend Thomas' Calculus instead - the problem with that (as well as with Stewart) is that the price is so high. Get an older edition, you won't be missing much, you'll only gain insight and an appreciation for calculus as an undergrad.

Excellent if you are interested in Calculus
The book is well organized and touch many aspects of calculus. It would be too much for someone who just want to browse through the subject.
Hints: I find it is easy to read through the book without doing the exercises at least two or three times to get the whole concept of calculus and then read it again with the exercises.

Calculus Textbook
It's good for a calc textbook, kind of complicated math lingo though -- i'm not the biggest math fan. but its used throughout my colleges calculus courses I believe.. ... Read more

Book Description
This general review covers equations, functions, and graphs; limits, derivatives; integrals and antiderivatives; word problems; applications of integrals to geometry; and much more. Additional features make this volume especially helpful to students working on their own. They include worked-out examples, a summary of the main points of each chapter, exercises, and where needed, background material on algebra, geometry, and reading comprehension. ... Read more

Customer Reviews (11)

Layers of Abstraction made easier...
Professor Gootman is the master of moving from practical everyday arithmetic to higher layers of algebraic abstraction. In Calculus, I too memorized the formulas, rules, etc. and did fine but never really fully understood the purpose of it all. To start with the simple notion of s being a 'position' of an object (ball thrown up in space) and t being time and answering the 'instantaneous rate of change' / feet per second for s(t) was such a refreshing explanation to see. Moving carefully into the next layer(s) of abstraction ( f(x) dy/dx,... ) is his forte. He helped me feel more confident knowing that even with subjects such as abstract algebra and number theory, remembering to try and move carefully 'up' the levels of abstraction will assuredly alleviate pain and frustration.

Straight to the point and easy to read
This text is a nice balance between a traditional calculus text and the smarmy calculus by cartoon type books, and it is more math book like than 'A Tour of the Calculus' by David Berlinski in that you get examples and practice problems.
The explanations are written in a relaxed, literate, and very readable style, without being patronizing or silly.
Enough examples and practice problems are provided to get the key points pounded into your head. The examples are worked through step by step with fairly clear explanations.
Be warned. This is definitely a review book or to be used in conjunction with a traditional class and text. It's a very quick pass over the material. It provides some minimal algebra review, but if you are rusty you will want some practice since it assumes you can handle rational expressions and exponents.
I worked through it a chapter at a time over an otherwise lazy week.

I Wish Gootman Had Been My Teacher
Having once suffered through a boring and utterly ineffective proof-centered university introductory calculus course, I waited 40 years to tackle calculus again.This book has proven immensely helpful.Professor Gootman has a knack for getting right to the point and carefully unfolding his explanation of what you really need to know, with unusually clear illustrative worked problems.He understands that painstaking exposition of theoretical proofs teaches less effectively than working on practical examples.Once the student learns to USE calculus in applied situations, then grasping the theory and proofs becomes much easier.I was able to comprehend everything he had to teach, although I must confess that I only completed the end-of-chapter problems for the first few chapters.

I came away thinking that calculus need not be as difficult as it is made out to be, or actually is in the hands of a less able teacher.Its level of difficulty approximates that of a somewhat difficult language--perhaps Russian for an English speaker.But no more.And, as with Russian, simply practicing it over time can bring gratifying results.Once you master about twenty basic procedures, the rest becomes far more approachable.I recommend this book highly to those frustrated with standard textbooks or simply wishing to understand the basics of how calculus works.

Elliot Gootman was my professor at UGA
This man was an amazing professor.His class was interesting and this text book made me wonder why other Calcus texts exist.Buy this book for your children, they will love it.

AMAZING BOOK....
I love math or at least i think i was good at math. But after one year of calculus in high school. I felt i was like the stupidest person in my calc class. My average was a B at the end but that was after hours and hours of formula memorize and tons of practice problme(and not to mention i bomb the AP calc exam). And now im going into college and seems like i might have to take calc again which is not a good idea for me. but what can do i...and in desperately wanted to understand more of clac i came across this book....this book is truely amazing...it exaplin everything i learn in my clac class and probably for the first time i clearly knows the meaning of calc and why this calc so much more important...i recommand this book to EVERYBODY...it's soooo good...I wish the auther can wrtie a book on Calculsu 2..and 3... ... Read more

Book Description

Customer Reviews (2)

Admirable, but hard to learn from
This book has one previous Amazon customer review, with 5 stars and a glowing review. I do not dispute that reviewer's assessment; rather I'll observe that his familiarity with calculus of variations is much deeper than mine. I find this book almost impossible to learn from, although there is much in it that I would like to learn. But I confess that I have difficulty with calculus of variations, and always have had.

For me, calculus of variations breaks neatly into two eras, before Weierstrass and after Weierstrass. Before Weierstrass there was no rigor in the subject, and practitioners from Bernoulli to Lagrange used whatever methods they could devise to solve particular problems, or classes of problems, that attracted their attention and that seemed to be tractable. Weierstrass turned the subject into a rigorous one, and was followed by a number of creative theoreticians, some of whom could also solve practical problems: Bolza, Hilbert, Bliss, McShane (whom I knew) and various others. They created mathematical theory that would have been incomprehensible to Euler, but which eliminates the slop in the subject.

When I look for literature on calculus of variations I seem to find the literature also divided into "before Weierstrass" and "after Weierstrass". I have no trouble with the "before Weierstrass" sort, but I would like to go further. And the trouble I have with this book is that despite the promise of a jacket blurb, it doesn't show how the subject developed from an intuitive art into rigorous mathematics; it determinedly sticks to the "modern" viewpoint. I note with amusement, for example, that Lagrange is mentioned only in one slightly pejorative paragraph on page 109, with no indication of how Lagrange actually solved variational problems.

So this book will sit in my personal collection of math books until I get tired of seeing it around and get rid of it (which is what happened to my copy of Bliss many years ago). Is there some text on calculus of variations that will permit a reader like me, with reasonable knowledge of measure theory, modern algebra and topology, and classical analysis, to learn how the calculus of variations has progressed in the last hundred years? This isn't it.

Very deep and detailed
I have had this gem of a book for ten years, and I'm still enjoying it. Actually, it turns out that the text itself was written some time ago, but don't let you be put off by that - this book is very scholarly and you really will be enlightened by it.

Now, where do you begin? Usually at University, I guess, this subject is treated in a way that makes most folks think that just about all "Calculus of Variations" problems can be solved with the Euler Lagrange equation, and from there on, you just have to solve the resulting differential equation. And I guess that's sometimes possible. But in the real world, sometimes you end up with that equation simply not working, and your problem is more messy and not expressible using "nice" functions. Now, this is where this book begins. We start by looking at "sufficient" and "necessary" conditions for solutions - and these are not the same things! This at least allows you to work out whether a solution is there, for goodness sake, before you waste time trying to find it.

Ewing does better in later chapters. He showcases a whole slew of problems which deserve special consideration, and this gets at times really exciting, covering all sorts of ideas about what we mean by optimum values for integrals, and how to specify systems of equations when one method doesn't really work too well.

One question which he digs into, which is very entertaining, is the problem of what an integral of a function really means. For example, we all know about the Riemann integral - the limit of a sum - but had you ever heard about the Weierstrass integral - or the Lebesgue integral?

Mr Ewing serves up these exotic and flavorsome new varieties in a most satisfactory fashion, with lots of examples to help.

The text never gets too far away from real problems. How easy that would have been! This book is so amazingly practical and also deeply committed to a really thorough treatment. He also gives excellent commentary on the history of this subject.

Overall I would say that this book is not one which belongs on the shelf with the numerical methods books, or the operational research section (thats what numerical optimisation is called over here in Britain), but I would get this now anyway before it goes out of print (if Dover are so crazy as to do that). ... Read more

Book Description
This easy-to-understand calculus study aid is ideal for those who are new to the subject. It offers a well-illustrated, step-by-step introduction that moves along at an easy-to-keep-up-with pace. Use it with your textbook or for independent study to improve your comprehension and boost your grades. It features 226 solved and 513 skill-building supplementary problems--more than other study guides. Whether you simply want to feel confident at test time or build a solid foundation in calculus for more advanced math, science, and engineering course, Schaum's Outline of Beginning Calculus is students' first choice.level of Ayres/Mendelson, Calculus, 3/e. This will make up the calculus segments of one-semester liberal arts courses and the various one-semester Calculus courses for business or life sciences. This book will also address weaker students in general freshman calculus and high school advanced placement courses. Theory is restricted to fundamentals of differentiation and integration (single-variable) and the solved problems, with no steps ommitted, include reviews of algebra. This updated edition will continue the excellent sales record of the first edition and will include: problems suitable for graphing calculators and existing problems adapted to involve calculator use; emphasis on aogorithmic aspects of Calculus; Newton's method will be given a separate section, a section various approximation techniques for integration, Simpson's Rule the Midpoint rule; a section that presents the traditional treatment of exponential and logarithmic functions, which method some textbooks have gone back to. ... Read more

Customer Reviews (6)

okay
the pages were a little bent when i received it, but it was otherwise in good condition

Just the best book for self study and review
This book can help an alien to math understand a calculus concept.

Good as supplemental text book, NOT good as primary textbook
There are not enough examples to explain everything you would need to know.I've found I had to go to the web or other more basic Calculus books many times to try to solve some of the problems in there.There are better books out there for those of us looking for complete breakdown of the problems and better explanations.

An excellent introduction and review of Calculus ......
I trudge back to this book again and again, being embarassed at having forgotten some basic idea or technique.This is an excellent supplemental text to a formal Calculus textbook like "Calculus " by Stewart.The writing is lucid and ideas are explained with the novice in mind. I find that reading this book first BEFORE getting into a meatier textbook helps me understand the material.

My experience has been that if I do not "do calculus" at least twice a week I forget the techniques (not ideas) almost immediately.Therefore, if you want a review of Calculus this book is a great tool.If you are new to calculus this book will help you understand important concepts like differentiation vs integration.I also found that reading pertinent chapters in Selby's "Geometry and Trigonometry For Calculus" and then reading related material in this book is a tremendous help.

Another strong point is that for us over 50 the font size and book layout is easy on the eye.So whether you are a novice or someone who has not had the chance to use Calculus in a while; or someone "brand new" to Calculus,get this book.An excellent resource for learning and entertainment!!

Very good value for the budget-minded math student
Elliott Mendelson does an excellent job of presenting basic calculus concepts in an inexpensive book.His explanations are very clear, and the book is actually fun to use.Perhaps my only criticism is that this bookdoes not use color which often helps to clarify figures of graphs, butblack and white figures are to be expected in an outline.If you'reinterested in a supplement to your text or if you want a book forself-study, I strongly recommend "Beginning Calculus." ... Read more

Customer Reviews (13)

great for engineering and non-theoretical science majors
I learned from this book during my sophomore year advanced calculus class. The best thing about this book -- answers to all the problems are included. What a novel idea -- answers! I can't speak for others, but I can still remember doing problem after problem from this book and knowing that I could always check my understanding, or lack understanding, of the material by checking my work against the answers.

As to why do I think this book is for engineers and non-theoretical science majors? Very simple, it does *not* cover real analysis as the books by Rudin, Shilov or Johnsonbaugh and Pfaffenberger (my favorite). These other books follow a very traditional approach -- axioms, lemmas, theorems, corollaries. Kaplan's book presents all the mathematics that an engineer, etc. will typically need and with a clear explanation. You won't find delta-epsilon proofs here, but you will find multi-variate calculus, vector differential and integral calculus, orthogonal functions and expansions (Fourier series), complex variables, and ODEs and PDEs. Everything is covered. The explanations are generally very good. There are examples, and of course, answers to the problems are included.

You can think of this book as a Schaum's Outline on Advanced Calculus, but with real explanations, not just statements. I'm not knocking Schaum's Outlines. I own several of them.

Excellent service!
Book was just as described. I am very satisfied. Fast service even I am in Mexico.

Excellent in-depth book
I have used the earlier edition of Kaplan's excellent text on Advanced calculus from early 1960's...I have studied and taught this subject and I always like to refer to this book....excellent and solid foundation in advanced caluculs for any student

great didatic
I study this book entirely in a calculus review. The points are:
1- The exposition is clear and didatic even in points difficults and delicates
2- The sections are short and with exercises in growing level of dificulty with much adequates hints
3- It's necessary to resolve all (or half all) exercises because there are many new stuff there
4- There are responses to all exercises with is good for self study (like mine)
5- There are very litlle typos
6- My only question is that the book would have more exercises
(I supply this doing exercises of other books like M.Boas)
So I recommend this book based in my (good) experience

I recommend James Stewart
From what I noticed, this book comes with few examples, which I need to learn well. However, I learned the same topics originally with Calculus by James Stewart (fifth edition), which comes with very clear explanations, diagrams, and examples. Then the practice problems start off easy and then gradually increase in difficulty. Instead of Kaplan's Advanced Calculus, the James Stewart book is highly resourceful and I would recommend it to any student in calculus, because it can work for practically anyone. ... Read more

Book Description
Master Math: Calculus takes off right where the best-selling Master Math series left off, and provides everyone, even those who fear balancing their checkbooks, with new hope and answers to these and many other calculus questions. In a simple, straightforward, step-by-step approach, Master Math: Calculus clearly explains the basic concepts of calculus, then delves deeper into advanced topics. ... Read more

Customer Reviews (2)

Master Math: Calculus Table of Contents
Master Math: Calculus Table of Contents

Introduction

Chapter 1. Functions

1.1. Functions: types, properties and definitions 1.2. Exponents and logarithms1.3. Trigonometric functions 1.4. Circular motion 1.5. Relationship between trigonometric and exponential functions 1.6. Hyperbolic functions 1.7. Polynomialfunctions 1.8. Functions of more than one variable and contourdiagrams 1.9. Coordinate systems 1.10. Complex numbers 1.11.Parabolas, circles, ellipses and hyperbolas

Chapter 2. TheDerivative

2.1. The limit 2.2. Continuity 2.3. Differentiability2.4. The definition of the derivative and rate of change 2.5. D (delta) notation and the definition of thederivative 2.6. Slope of a tangent line and the definition of thederivative 2.7. Velocity, distance, slope, area and the definition of the derivative 2.8. Evaluating derivatives of constantsand linear functions 2.9. Evaluating derivatives using thederivative formula 2.10. The derivatives of a variable, a constantwith avariable, a constant with a functionand a variable raised to a power2.11. Examples of differentiating using the derivative formula 2.12.Derivatives of powers of functions 2.13. Derivatives of ax, ex and ln x2.14. Applications of exponential equation 2.15. Differentiating sums,differences and polynomials 2.16. Taking second derivatives 2.17.Derivatives of products: the product rule 2.18. Derivatives of quotients:the quotient rule 2.19. The chain rule for differentiating complicated functions9 2.20. Rate problem examples 2.21. Differentiatingtrigonometric functions2.22. Inverse functions and inverse trigonometric functions and their derivatives8 2.23. Differentiating hyperbolicfunctions 2.24. Differentiating multivariable functions 2.25.Differentiation of implicit vs. explicit functions 2.26. Selected rules ofdifferentiation 2.27. Minimum, maximum and the first and secondderivatives 2.28. Notes on local linearity, approximating slope ofcurve and numerical methods

Chapter 3. The Integral

3.1. Introduction 3.2. Sums and sigma notation 3.3. The antiderivativeor indefinite integral and the integral formula 3.4. The definiteintegral and the Fundamental Theorem of Calculus 3.5. Improperintegrals 3.6. The integral and the area under a curve3.7. Estimating integrals using sums and associated error 3.8. Theintegral and the average value 3.9. Area below the X-axis, even and odd functions and their integrals 3.10. Integrating a function and aconstant, the sum of functions, a polynomial, and properties ofintegrals 3.11. Multiple integrals 3.12. Examples of common integrals 3.13.Integrals describing length3.14. Integrals describing area 3.15.Integrals describing volume 3.16. Changing coordinates and variables 3.17.Applications of the integral 3.18. Evaluating integrals using integrationby parts 3.19. Evaluating integrals using substitution 3.20. Evaluatingintegrals using partial fractions 3.21. Evaluating integrals usingtables

Chapter 4. Series and Approximations

4.1. Sequences,progressions and series4.2. Infinite series and tests for convergence 4.3. Expanding functions into series, the power series, Taylorseries, Maclaurin series, and the binomial expansion

Chapter 5.Vectors, Matrices, Curves,Surfaces and Motion

5.1. Introduction to vectors 5.2. Introduction to matrices 5.3. Multiplication of vectors and matrices 5.4. Dot or scalar products 5.5. Vector or cross product 5.6. Summary of determinants 5.7. Matricesand linear algebra 5.8. The position vector, parametric equations, curves and surfaces 5.9. Motion, velocity and acceleration

Chapter 6.Partial Derivatives

6.1. Partial derivatives: representation and evaluation 6.2. The chain rule 6.3. Representation on a graph 6.4. Local linearity, linear approximations, quadratic approximations anddifferentials 6.5. Directional derivative and gradient 6.6. Minima,maxima and optimization

Chapter 7. Vector Calculus

7.1. Summary ofscalars, vectors, the directional derivative and the gradient 7.2. Vector fields and field lines 7.3. Line integrals and conservativevector fields 7.4. Green's Theorem: tangent and normal (flux)forms 7.5. Surface integrals and flux7.6. Divergence 7.7. Curl 7.8. Stokes' Theorem

Chapter 8.Introduction to DifferentialEquations

8.1.First-order differential equations 8.2.Second-orderlinear differential equations 8.3.Higher-order linear differentialequations 8.4.Series solutions to differential equations 8.5.Systems ofdifferential equations 8.6.Laplace transform method 8.7.Numericalmethods for solving differential equations 8.8.Partial differentialequations

Index

Talk the talk
This is a good book for calculus refrence, but not for explanations.If you already know calculus, this is a good book to use to brush up with.Just don't expect to use this book to understand calc. ... Read more

Book Description
More than 300 flash cards cover calculus equations, formulas, functions, graphs, derivatives, and more, with definitions and meanings printed on the reverse side of each card. Concepts on each card’s front and explanations on the reverse cover both Calculus AB and Calculus BC topics. This boxed set of4 1/2" x 2 3/4"flash cards is designed with a punch hole in one corner of each card. The hole will accommodate a metal key-ring-style card holder enclosed with the cards. Using the holder, students can arrange the flash cards for their Q and A sessions in any sequence that suits their needs—perhaps by general topic, or alternately by leaving out cards with questions and answers that test takers already know well. ... Read more

Book Description
This non-rigorous, yet accurate presentation of the applications of calculus to technologies is exceptionally student-oriented.The presentation is clear and concise, the examples are worked in great detail (enhanced by marginal annotations), and step-by-step procedures are used whenever possible.While the approach is accessible and intuitive, the author has retained the TTspiritTT of the calculus by use of historical notes, interesting asides, and informal motivations. ... Read more

Customer Reviews (2)

Technical Calculus with Analytic Geometry by Peter Kuhfittig
This is a great textbook for first timers learning calculus or just as a refresher for the basic concpets. The author Peter Kuhfittig keeps all the concepts together and doesn't bog down the reader with extremely long mathematically definitions. He gives the reader example problems and then plenty of problems to work. The only recommendation I would make to the author is to put every odd problem's solution or some even problem solutions in the solutions manual since they (even problems) or usually the harder problems to work out anyway. Only every other odd problem's solution is in the "Solutions Manual".

Find a different book
For an expensive book such as this one, you would expect the author to explain the concepts in greater detail.Unfortunately, he doesn't and that is why I am looking elsewhere for an explanation of the material.Also,there are not enough useful examples in the book.If you are looking for abook that explains the concepts in detail and gives an ample amount ofexamples, save yourself the time and money by purchasing another book. ... Read more

Book Description
From the moment you enter the virtual gateway, you'll know that Journey Through® Calculus is like no other Calculus CD that you've ever seen.This truly interactive CD has been designed to help students successfully navigate challenging calculus terrain.With stunning visual animation, unlimited problem-solving capabilities, and a powerful computer algebra system, Journey Through® Calculus allows students to fully explore and appreciate the dynamic world of calculus.Journey's engaging activities emerge students in the study of calculus - often before they even realize it!Journey Through® Calculus presents comprehensive coverage of all the topics of the single variable calculus course. Journey can also be used by professors in the classroom to bring lecture topics to life - keeping students focused and interested - and encouraging them to actively participate in topics being discussed.The Stewart Calculus texts have icons throughout referring to Journey Through® Calculus.This CD, however, can be used with any single variable calculus text or by itself. ... Read more

Customer Reviews (4)

Not worth the money
Majoring in Mathmatics, taking online course, so I'm mostly having to teach myself, I have ordered several books to suppliment what is in my class books.This one was most definately not worth the money.Instead of an aid to help me visualize calculus, it was a bunch of showy animations.

I passed calculus!
I took first year university calculus twice. Thanks to this software, I didn't have to take it a third time. I have a learning disability and being able to listen while I read a problem and then see an animation to further explain the concept really helped me to understand the material.

I am an adult student and it had been a long time since I did high school math. Yes, the animated characters are "juvenille" but I'm in my 30's and was still able to learn from them.

I would recommend this to ANYONE who is struggling to grasp the basic concepts of calculus: derivatives and integrals.

Nearly useless, completely insulting
If you're using the James Stewart Early Transcendentals textbook and you're COMPLETELY lost, you MAY find this CD ROM helpful. However, just about everyone else will find this product to be a complete waste of time and maybe even insulting. The description given (by Amazon) is so misleading that it's nearly dishonest. Do not waste your money on this; the Internet has plenty of free web sites where you'll find much better help at understanding calculus.

Only the most basic, introductory concepts are covered. As the textbook begins to probe a concept more deeply and the material becomes challenging, you'll find that there is no companion material on the CD ROM.

Where this becomes particularly insulting is in the way this remedial material is presented. It's literally childlike, on the level of a 10-year-old boy. These are actual descriptions from the box: "Basketball-playing robot and friendly Mars Rover take you through an explanation of derivatives-"; With the help of a colorful hot-air balloon, the greedy landlord..."; "A greedy boss and a skateboarding robot help you master the concept of area." Nothing like this appears in the product description on Amazon and nothing in the Stewart textbook leads you to believe you're purchasing a $... kid's cartoon. If you're taking college calculus you're way past this level of intellect and you don't deserve to be ripped off and insulted!

I challenge the publisher to refute my statements or at least use the above product descriptions, from the box, as the product description here on Amazon. Amazon, you're a good company and you shouldn't associate with this product.

I'm a visual learner
I'm taking first year Calculus at a local University.When i started I had no idea what was going on because i never took Calculus in highschool.Our prof introduced us to JTC and i ended up getting an A in the course. Here's why: JTC is highly visual and interactive with a nice blend of 3D animation.A variety of problems and solutions help you understad what you're doing, and more importantly what it's used for.Put it together and you get a deeper understanding of the subject. This is a first addition so there are a few bugs that still need to be worked out.But no major one's that I've found. Overall, this is an excellent peice of software and i highly recommend it to anyone taking or teaching Calculus. ... Read more

Book Description
This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integrals, surface integrals, Stokes' theorem, and the inverse mapping theorem and its consequences.The presentation is self-contained, assuming only a knowledge of basic calculus in one variable.Many completely worked-out problems have been included. ... Read more

Customer Reviews (3)

Great, Straight forward book.
This book is unlike any other calculus, most of the problems are challenging, and the examples are part of the text, not a seperate entity. It also only weighs approx 3 pounds.Without this book, I would have been lost in higher level math, such as Abstract Algebra, Topology, and Analysis.Many problems, beyond the trivial with every single problem worked out in the back.It really develops mathematical thinking and proof writing.Serge Lang is a talented instructor.

A great book if used wisely
The previous reviewer gave this book one star, and I can see how one could have a dismal experience with it, much like one could have a horrible time backpacking through a remote wilderness area without the proper skills or guidance.On the other hand, I have taught multi-variable calculus to advanced high-school students from this book many times, and the students all loved it.(I know this from their anonymous course-evaluations.)I used the book Div, Grad, Curl and All That along with this book, as a supplemental text.The two books complemented each other nicely, one taking a more "mathy" point of view, and the other more "physicsy."The previous reviewer may not realize that there are actually oodles of worked out examples; they're all in the back of the book, instead of incorporated into the text.I like this, because it doesn't interfere with the flow of the reading.(My students think this book is a fairly straightforward read.)What I especially like about this book is its emphasis on potential theory; it makes it a deeper book than most other multivariable texts on the market.

If the book is yellow, or Serge Lang is the author, AVOID
Instead of wasting money on a useless calculus book written by Serge Lang, I would strongly recommend a Calculus book by Howard Anton or James Stewart.Every Serge Lang book I have read lacked examples, or if there were examples, they would be too general and not helpful in learning the material you need to know.His books seem to be more based on theories which to me are not helpful for one to learn calculus.Aside from the way it is written, compared to most other calculus books, it is too small.I also have taken a course in Linear Algebra, and his book was too small and was very hard to learn from.Most other calculus textbooks are 800-1200 pages, while his book does not come close, so there are obviously many concepts and exercises lacking. When one has trouble in a course, their text is supposed to be helpful and used as a resource, and Lang's books are anything but helpful.The only thing this book will be good for is the fireplace when I am done with it. ... Read more