Product Description
This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. The applications version features a wide variety of interesting, contemporary applications. This book contains clear, accessible, step-by-step explanations that make the material crystal clear. It establishes the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues. ... Read more

Customer Reviews (3)

Not as comprehensive as I expected
The textbook itself I gave a high rating. I wouldn't bother with this solutions guide. It doesn't have many more solutions than what is alrady in the textbook. The only difference is that the solutions show you step by step how they were arrived (sometimes, though, only up to a certain point).

Long and short, you probably won't need this.

Good for first Reading
I think Elementary Linear Algebra by Anton is a god bok forlearning the subject. It clearly introduce the subject and it is easily understandable.

disapointed
It contains solutions only for selected odd exercises, and most of the solutions are very abbreviated.Despite these setbacks it is still better than no solutions manual. ... Read more

Product Description
This text provides an introduction to the basic ideas, computational techniques, and applications of linear algebra. The most applied of our basic texts in this market, this text has a superb range of problem sets. Also, this book is extremely technology-friendly, integrating optional CAS and a robust website.Topics covered include wavelets; the Leslie Population Model; fractals; dynamical systems; linear equations and matrices; determinants; vectors; eigenvalues and eigenvectors; linear transformations and matrices; linear programming; and more.Ideal as an introduction to Linear Algebra. ... Read more

Customer Reviews (5)

Like Every Other Review
The book I ordered was expected sooner than I got it; however, seller sent word immediately of the book's shipment and I believe it wasn't his fault for the delay. Seller was prompt and apologized appropriatelyfor the item's slow shipment.

Would recommend to others.

Unhelpful in the extreme
Chapters 1, 2, and 4 are pretty well done up to a point.The explanations, examples, and problems are well written and can be followed without cross referencing other texts and pages on the web.You will learn the basics here without too much of a fuss.

Unfortunately, the book has a nasty habit of circular proofs.The author leaves out vital parts of the explanation in the text, referencing other parts of the text, which reference other parts of the text, and then ask you to solve the underlying proof yourself without explaining the fundamentals at all.The book also references FORWARD into chapters you have not gotten to yet in order to solve current proofs.This is not at all helpful.If your professor requires you to solve any of the proofs in any section you will be lost.Good luck.

Chapter 6 is an all-around disaster.Unless you have seen the material before, you will not get it here.The explanation at the beginning of the chapter cannot really be called an explanation.It is more of an obfuscation.The notation is not explained, it is assumed you know it or can figure it out on your own.The proofs in this chapter are a maze of unexplained concepts and hidden information.

Chapters 8 and 10 are more like the first chapters in usability, but the proofs are just as jumbled.

Intervening chapters from the ones I have described are applications of the material from previous chapters and are optional.

Buy another book (or two or three) as a supplement.You will need it.

One of the WORST textbooks I ever used
This book sucks at explaining, half the examples in this book just refer you to other examples/exercises that you have to complete yourself. HOW DOES THIS HELP IF YOU HAVE TO DO THE PROBLEM YOURSELF??!? Half the practice problems are theoretical questions that do not help you in understanding the concept whatsoever. The only thing it does is confuse and frustrate you more. Whoever uses this textbook to teach is obviously incompetent and/or has not looked it over at all.

A math book
This isn't the easiest linear text I've scene.This also isn't the hardest.The book has a ton of applications, which is good if you're an applied math, engineering, or science major.If your interests are in pure math the applications are still a nice little side note.The book's explanations are explained as clearly as possible without giving up any rigor.At first I didn't like the book, but after looking at several other linear textbooks I realized that these authors did a good job of explaining a difficult topic.

Best math book I've ever had
This book is a fabulous resource... explains things in as clear a way as Linear Algebra can be.If you want deeper understanding, many concepts are described in more depth, and most proofs are given in detail.It's notfilled with cartoons and useless pictures like some textbooks, but clear,concise explanations of what turns out to be an interesting and fairlysimple area of mathematics. ... Read more

Customer Reviews (3)

Do not purchase book
This book may be okay for reveiwing material after u have learned it and been away from it for a few years,but do not buy the book if you are just learning it for the first time,i had this book in high school and the students couldn't learn anything from it including myself and i love math. Are teacher had to teach us everything on the chalk board ,then he would just have us do the problems out of the book. The book is full of errors,espeically on the answer key. Our teacher would go through every problem and do it him self on the overhead because there were mistakes in EVERY answer key. I can't beleive schools actually bought this book,what a waste of money,do schools even look at the material before they purchase it?? also some of the ploblems you get in the book,the book does not show how to do them. the first time i took algebra i failed it because they teacher told us we would find everything we needed to know in the book,and he didn't teach us much,the second time i aced it becasue of a good teacher. when i followed the book i failed,when i followed good teaching i passed. don't buy the book!!especially for schools!!

I Beg to Differ.
When I write this review, I am really referring to both volumes of the Algebra 1 series.I am a college engineering student and just completed my fourth calculus course.For the past year I have tried to help my younger brother in his Algebra class because this book didn't help at all.Examples are insufficient and the book and tests are riddled with errors.The teacher had to work out all the problems because there were so many mistakes that he could not trust his answer key.A sample of this book's terrible teaching method can be seen when it expects students to use the discriminant to find the nature of the roots for a quadratic equation.It simply has students complete a table in problem number 44 or something and then expects students to be able to tell from the results what the nature of roots for a quadratic equation are on a quiz.Few students succeeded in accomplishing this.In the chapter discussing radicals, the definition of a perfect square is never mentioned! Also students are told to tell the difference between rational and irrational roots by looking at their calculator display.Perhaps if you only use this book as a source for problems, it might be OK.But it is nearly impossible to try and learn something from this book which seems to be fixated on providing pretty graphics instead of relevant examples.My advice: Buy some other Algebra book.It is not possible to put too much effort into the search for a good algebra book because algebra is really the language of science and engineering that needs to become second nature.I haven't seen them myself, but I have heard good things about Algebra 1 by Paul A. Foerster as well as Algebra: Structure and Method by Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, et. al. You might want to take a look at these books.

Algebra has never been easier
Algebra has never been easier.This ia great book.It shows step by Stepand Chapter Summaries, Quizes Test, and review.Great book. ... Read more

Product Description

Product Description
Never HIGHLIGHT a Book Again!Virtually all testable terms, concepts, persons, places, and events are included. Cram101 Textbook Outlines gives all of the outlines, highlights, notes for your textbook with optional online practice tests. Only Cram101 Out ... Read more

Product Description
Beginning and Intermediate Algebra with Applications and Visualization offers an innovative approach to the beginning and intermediate algebra curriculum that allows students to gain both skills and understanding. This text not only prepares students for future mathematics courses, but it also demonstrates to students the relevance of mathematics. This approach increases student interest, motivation, and the likelihood for success. Many students think in visual, concrete terms and not abstractly. This text helps students learn mathematics better by moving from the concrete to the abstract. It makes use of multiple representations (verbal, graphical, numerical, and symbolic), applications, visualization, and technology. ... Read more

Customer Reviews (1)

More than expected
My order arrived as promised. The description of the product did not begin to provide the gold mind that I received. The seller provided more than I had expected on this order. I will definitely come back to seller for future purchases. ... Read more

Product Description
The Study Guide is based on David Lay's many years in the classroom, and has been updated so students can take full advantage of the new projects and data in the Updated Second Edition of the text. This guide gives the worked-out solutions to model problems that correspond with exercises in the text, along with study tips, hints to students, instructions for using MATLAB along with the text, additional MATLAB exercises, and expanded coverage of some text material. Maple and Mathematica appendices have been added, and the TI appendix has been updated to include coverage of the TI-86. ... Read more

Customer Reviews (1)

promising textbook
I just used this book for an undergraduate LA course.

Most of the book is remarkably clear and straight-forward.For example, the authors manage to avoid sigma notation entirely in the proofs.The book has a nicebalance of applications, computer work and theory. Before taking the courseI did some work in Anton's 7th edition.The definitions and theorems inNakos/Joyner are much clearer and less wordy than Anton's.

The book stillhas a lot of rough edges, though.Typos abound and the text is murky insome spots.I think this would be an excellent text for an undergraduatecourse if the instructor used it with a critical eye to its weak spots. The second edition, if there is one, should be much more polished and,perhaps, a good choice for self study. ... Read more

Customer Reviews (9)

trying to save my son's back
I bought this book to use as a "home copy" for my son's algebra II class.It is a hefty textbook and his school chooses not to buy a class room set.He already has his backpack stuffed to the gills, so for a small sum I lightened his load.

Excellent service
Book was recd in good shape as promised and excellent customer service for enquiries when there was a slight delay. This vendor even went as for as to refund the shipping charges. Really appreciate it

School Book
I bought this book as a backup for the one we use in school.The book itself is good with explaining most concepts, but not always clear.Overall, I would suggest this book.

Very good, but slightly flawed
I have recently completed a fourteen-week self-study of this entire book, in preparation for an Engineering major.

I found the book very helpful; determinates, f of x terminology, and quadratic functions were explained in an easy to understand manner. Another thing I found helpful was the inclusion of "real world" problems that could be solved using the teachings in this book. Problems in business, biology, nuclear fission, rocket trajectory, etc. are presented and can be solved by the student. Such questions seem to be designed to introduce medical/engineering hopefuls to what they'll encounter in the years ahead.

Furthermore, the trigonometry section is only three chapters long, which I think is very wise of the author; as most 700-page trigonometry tomes are usually overwhelming to students and contain nonsense about determining the heights of flagpoles, which a future doctor or physicist does not need to know by heart!
A determined student can master the essential trigonometric functions in under a month, and this book can serve that purpose.

My only complaints are that some topics are explained in vague ways; I found myself writing my own expositions in the margins. Also, only the odd-numbered questions (1, 3, 5, etc.) are answered in the answer section. This provides less incentive to complete all the questions posed, because mistakes that are made on even-numbered questions will go unnoticed unless the student is extremely thorough in checking.

Despite these drawbacks, I recommend careful study of this book to those students who wish to enter the sciences...but make sure you have someone you can consult with because here and there the book may confuse you.

Hmmm, quite a good book with only minimal faults
I found this algebra/trig. book to be very satisfactory, with only a few things I'd change about it.The word problems found in the last section of each chapter offer the right level of difficulty, interesting situations, and the character's names are often quite funny (ex. Butch Err's feedlot, Ripov's Insurance Co., Sue Flay and Cassa Roll's hamburger stand, etc).For many of the problems that involve graphing, the answer at the back simply says (graph).It would be a lot more helpful if the graph was provided, especially if the back of the book is the only means to check homework.This gets a little frustrating sometimes. ... Read more

Product Description
Revised and edited, Linear Algebra with Applications, Seventh Edition is designed for the introductory course in linear algebra and is organized into 3 natural parts. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector spaces, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. Offering 28 core sections, the Seventh Edition successfully blends theory, important numerical techniques, and interesting applications making it ideal for engineers, scientists, and a variety of other majors. ... Read more

Customer Reviews (5)

finally!
i'm excited to see a Linear Algebra book actually make SENSE! i thank the author who was a professor at my college, Stetson University, and to my professor of the class for choosing a great how-to math book.
yes!

Not very simplistic but very clear and explanatory.
Like the other reviewer said, this book has been written with clarity, conciseness, and readability. Glad to see still some authors are trying to express the relatively abstract ideas in a smooth and readable manner to help readers not terrifying them.

Linear Algebra, fifth edition
No real complaints on this product. It arrived in fair, but used condition and in a relatively timely manner

Clearest exposition of linear algebra possible.
This book was not purchased for any required course, but because I wanted to gain a better understanding about linear algebra. What I was looking for was a book with clarity, conciseness, and readability and this is exactly what this book provided. I am an electrical engineer, and very rarely have I come across a book so enjoyable to read. Not even one time had I been stumbled or stuck or wonder-struck as to what the author was trying to convey or how something had been derived. Not even once!

I had seen and reviewed many books on linear algebra by many authors (Strang, Poole, Anton, Myers) and was convinced that I would have had to settle for a book by one of them. In most cases, they were either too simple and boring, or only touched on the surface, or were all over the place, or were more difficult that what I could easily take in.

This book was not only the easiest to understand, it also went right to the point in just the right amount of words with easy to understand and very thorough examples to follow which would show all the steps involved - yet never feeling like an over simplified or elementary introduction to the subject and somehow keeping me so interested that I wanted to keep on reading.

About the proofs, all I can say is that it felt as though they were written to be understood. I am not a mathematician by any means, and I still think they were extremely easy to follow, yet they were the real thing.

But what about the applications of linear algebra? This aspect of the book just stands out from anything that I've ever seen in a book on LA. The applications chosen are highly motivating and really help you appreciate the subject, why you are learning what you are, and what amazing things can be done through it.

I also feel that the organization of the book is extremely well thought out. This is something that can be so influential in your overall experience with a book and is so easily overlooked. Only when you see a presentation that has been so well organized do you realize how much it adds to the overall effectiveness.

Lastly, the book has a detailed appendix as the last chapter on using Matlab for Linear Algebra with respect to the material taught in the chapters. It too was very well thought out by first introducing the main commands for each area of the subject, giving some examples, and asking you to try a few further exercises (just a few thought, so that you're not overwhelmed).


Note: This book was initially published in 2007, then reprinted in 2008 with a different ISBN with corrections.Amazon may be selling both - the publisher's website can clarify this.I believe the updated book has ISBN: 978-0763757533).


Lastly, I believe this book is being used at Universtiy of Waterloo within the Systems Design Engineering program (SYDE114).

Decent for Those Who Already Know the Material
This textbook was required for my college linear algebra class. As the linear algebra book for business majors, it has a lot of real-world applications/examples in it, which I appreciated. Having now completed the class when looking back through the book, I can remember how to do the work. When learning it for the first time though, reading the book was a nightmare. Fortunately, I had an excellent professor who explained the examples he was working very well, so I only used the book for homework problems, not for learning the material cold.

I do NOT recommend this book for someone learning about matrices and vectors for the first time. ... Read more

Product Description
This text takes an emerging approach to physics, emphasizing important geometrical structures that lay the foundations of much of modern theory. The subject of Clifford algebras is presented in efficient geometric language - common concepts in physics are clarified, united and extended. The text serves as a pedgogical tool for either self-study or in undergraduate/graduate courses. Topics covered include: history of teaching algebras; linear algebra; gravity; spinors; applications in engineering; spacetime algebra and line geometry; and Clifford algebra with Maple. ... Read more

Customer Reviews (1)

Good compilation
This book, a compilation of 33 articles covering many different aspects and applications of Clifford algebras, can be read profitably by anyone desiring an overview of their history, theory, and applications. I did not read every article, and space also prohibits such a comprehensive review, so I will comment only on the ones that I actually studied.

Chapter introduces Clifford algebras as an extension of the real numbers to include vectors and vector products. The familiar representation in Euclidean space is outlined, with emphasis on the exterior product of two vectors, which, the author points out, is associative (unlike the ordinary cross product). The connection with rotations, reflections, and volume elements is pointed out, and the complex numbers and the Pauli algebra are shown to be Clifford algebras.

A short history of Clifford algebras is given in chapter 2. The reader not familiar with Clifford algebras should have no trouble following the ensuing discussion where some elementary geometric constructions are given of the Clifford algebra on the Euclidean plane. In addition, the operator approach to Weyl, Majorana, and Dirac operators is given, illustrating in detail their connection to physics. Recognizing that the Fierz identities do not by themselves give the Weyl and Majorana spinors, the author introduces what he calls the boomerang method for their construction. The boomerang is essentially a linear combination of bilinear covariants for a spinor, and the author details the conditions under which the spinor can be reconstructed. Interestingly, and unknown to me at the time of reading this chapter, the author constructs a new class of spinors, the "flag-dipole" spinors, that are different from the Weyl, Majorana, and Dirac spinors.

The author of chapter 3 considers the construction of Clifford algebras from a more geometric viewpoint, calling them geometric algebras, which he motivates by the consideration of extending the reals by a unipotent ( a number not equal to +1 or -1 but whose square is 1). The resulting unipodal numbers are isomorphic to the diagonal 2 x 2 matrices. The extension of the unipodal numbers so as to make this isomorphism to the full 2 x 2 matrix algebra leads to Clifford algebras.

In Chapter 9, the spacetime algebra is brought in to study electron physics. The "space-time algebra" or STA is used to characterize the observables associated with Pauli and Dirac spinors. The material presented is standard in physics, wherein the Green's function (propagator) for the Dirac equation is given, along with scattering theory. The typical problem of scattering off a potential barrier of finite width is discussed, along with the Klein paradox.

The space-time algebra is also discussed in the context of the interpretation of quantum mechanics in Chapter 11. The authors really do not add anything new here (interms of what one might consider "strange" behavior in quantum physics). They interpret Dirac currents as measurable quantities, avoiding seemingly any notion of wave packet collapse and difficulties with defining tunneling time(s), but not answering at all how to measure these currents. In addition, the Pauli principle is interepreted in the context of space-time algebra, without any quantum field theory. Howerver, it is not shown that such an approach satisfies cluster decomposition, casting suspicion on its utility.

In Chapters 21, 22, and 23 the author shows how spinors fit into the framework of the Lorentz group, their relationship to the Clifford algebra, and in general relativity. It is shown how the Dirac spinor can be defined in three different ways, namely as an element of the representation space of the Clifford algebra of spacetime, an element of the representation space of the fundamental representation of the Dirac spinor metric-preserving automorphism group of the Clifford algebra, and as an element of the representation space of the fundamental representation of the covering group of the conformal group.

The most interesting discussion in the book is chapter 28 on extending the Grassmann algebra. Dispensing with any scalar product on a vector space, the author shows how to obtain the relative magnitude between two vectors and this leads to the notion of a multivector. The duals to these are called outer forms, and are the familiar differential forms when depending on spatial position. Many helpful diagrams are used to illustrate the properties of multivectors and pseudomultivectors, the linear span of which is called the extended Grassmann algebra of multivectors. Adding a scalar product reduces the number of directed quantities to four, and electrodynamics can be formulated in a way that is independent of the scalar product. ... Read more

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Matrix Algebra is a vital mathematical tool in the social sciences, and the techniques and vocabulary of the subject are essential for an understanding of advanced statistics -- yet many social scientists have only a rudimentary grasp of them.

This volume serves as a complete introduction to matrix algebra, requiring no background knowledge beyond basic school algebra. Namboodiri's presentation is smooth and readable: it begins with the basic definitions and goes on to explain elementary manipulations and the concept of linear dependence. He then introduces the more difficult concept of eigenvalues and eigenvectors, supplying illustrations through fully-worked examples. Every chapter closes with a summary of the key concepts and definitions, useful to the beginner.

Customer Reviews (3)

Great introduction
This is a great introduction to matrix algebra. It reads very easily and presents the basics in an intuitive way. While it lacks the dense details and proofs one might want in a more advanced book, it did give me a great framework in which to put those dense details into. I read this in a few days, and found my matrix algebra studies went much better afterward. This is a great investment for anyone preparing for an in depth study of matrix algebra, or anyone wanting to brush up on the basics.

Matrix Math the Hard Way
Krishnan Namboodiri sets out to remedy the problem that "...social science majors and graduate students often fail to go far enough in mathematics to get a thorough grounding in [matrix algebra]."This little green book covers the ground in four chapters and 96 pages.

The author begins by introducing basic matrix concepts and terminology, moving quickly to matrix operations such as addition, multiplication, and inversion.The central concept of linear dependence of sets of matrix rows and matrix columns is then explored, including the implications of this concept for solving simultaneous linear equations.The final chapter introduces the concepts of determinants, eigenvectors and eigenvalues.Applications to principle components analysis are illustrated in the books closing sections.

I read this book as part of a three-week online review course in matrix algebra.Its strengths were the discussion of practical applications and its conciseness.These strengths are counterbalanced by disappointing weaknesses.The dense, formula-driven presentation style made the book hard to follow.A glossary and index would have greatly aided mastery of a large number of new terms and concepts.In the end, I was helped more in the class by free materials I found by searching the web than by this book.I was annoyed that I had purchased it.

After further searching, I became a grateful reader of Charles Cullen's Matrices and Linear Transformations, which is more clear, covers more material, includes numerous practice exercises--and requires less of a little green investment.Save yourself some pain and go directly to Cullen.

The book is great!
I like this book. It arrives on time and quite new. It's concise and easy to learn. ... Read more

Product Description
Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications in physics. No previous knowledge of the mathematical theory is assumed beyond some notions of Cartan calculus and differential geometry (which are nevertheless reviewed in the book in detail). The examples, of current interest, are intended to clarify certain mathematical aspects and to show their usefulness in physical problems. The topics treated include the differential geometry of Lie groups, fiber bundles and connections, characteristic classes, index theorems, monopoles, instantons, extensions of Lie groups and algebras, some applications in supersymmetry, Chevalley-Eilenberg approach to Lie algebra cohomology, symplectic cohomology, jet-bundle approach to variational principles in mechanics, Wess-Zumino-Witten terms, infinite Lie algebras, the cohomological descent in mechanics and in gauge theories and anomalies. This book will be of interest to graduate students and researchers in theoretical physics and applied mathematics. ... Read more

Customer Reviews (2)

A good help in algebra
This book was a very good help in algebra for me. It had great descrition and was clear and easy to understand.

Algebra 1
Absolutely good book! Especially for kids in middle and high schools. Easy learn, more practice. Lots of test questions for college preparation. Highly recommended! ... Read more

Customer Reviews (1)

Algebra made easy
An excellent textbook! Applications make algebra part of everyday's life... as it really is. The book ends with the concept that numbers are abstract things.I teach math & calculus, and I found it the best text in Algebra I I have ever used!!! ... Read more

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An ideal program for struggling students

Glencoe Algebra: Concepts and Applications covers all the Algebra 1 concepts. This program is designed for students who are challenged by high school mathematics. ... Read more

Customer Reviews (3)

Available for free on the textbook CD
This study guide is included for free on the CD that comes with the textbook, so there's no reason to pay extra for a hard copy. The preface to the textbook says that the study guide is available separately for students who want to study without a computer.

Has answers with explanations
Has answers with explanations. Only odd problems, though, a shame. I just copied down the answers for the homework and the explanations were enough to get me through the even-numbered problems.

It could have been much better.
I am a little frustrated from this guide and the publisher.
Pretty arrogant of them.
Making a Schoolbook with a very few explanations in order to sell you one more after so you can get what is all about.
If I had a choice I would never have bought this arrogant concept. ... Read more

Product Description

The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms.

This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation.

Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.