Linear Algebra with Applications

Book Description

Renowned for thoroughness and accessibility, this book offers a challenging and enjoyable study of linear algebra that is infused with an abundance of applications. Balancing coverage of mathematical theory and applied topics, concepts are explained with precision so that all readers can understand the material. Worked examples are heavily integrated into each chapter. The book stresses the important role geometry and visualization play in understanding the subject.

Customer Reviews:

Little or No Examples.......2007-10-09

I found this book very difficult to follow along without a teacher to explain. Little or no examples. Book is full of proofs. This would be a perfect book for a person to brush up on there skills and review the material.

Not the best but not the worst either.......2006-03-15

Background: I am an Aerospace Engineering undergraduate student with a strong foundation in math.

Review: To be honest, I was looking forward to giving this book 1 star when I was done with it. However, after reviewing what I learned, I found this book isn't as bad as I first thought. First of all, this is not a good book for beginners or self-teachers. It skips over too many steps when discussing some topics. Second, the textbook is written in a very dry and dull manner. This is true of many math books, of course. While this doesn't exactly make a math textbook useless, it works against keeping the reader's interest. Finally, it's layout isn't exactly friendly. Important details tend to blend in with the rest of the text. In my opinion, the important points should stand out.
So, with those points having been made, I feel Leon's Linear Algebra book is more suited for an intermediate class. It definitely wasn't worth the money (what textbooks are?). If you'd like a good beginner or self-teaching book, check out Poole's book instead.

good introduction.......2005-02-23

A very good introduction to linear algebra. Explanations are very clear. A very good exposition on vector spaces. Overall a good buy for starting in this most interesting subject.

Good Book for the Most Part.......2003-08-05

Overall, I thought was well laid out. I would probably like to see more practical application of linear algebra to real world problems.

don't waste your money.......2003-07-21

If you buy this book then get used to phrases such as: "It can easly be seen that...." and "It can be shown that..." and let us not forget everyone's favorite "...which is left as an exercise for the reader." You will see at least one of these phrases in every section (yes section not chapter). ... For [the money] I think Leon could work out just 1 example in detail. Fortunately there is enough information on the internet you won't need to read this book, instead just carry it around so your professor thinks your using it (although it makes a great door stop when you done with the class). Overall I think that 1 star is too much for this but Amazon won't let me give it 0 stars.

Elementary Linear Algebra with Applications

Average customer rating:

Rough Journey.
Learn-by-rote Linear Algebra (8th edition)
starts with tangible topics

Elementary Linear Algebra with Applications
Howard Anton , and Chris Rorres
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471669598

Book 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.
Clear, accessible, step-by-step explanations make the material crystal clear.
Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.

Customer Reviews:

Rough Journey........2005-12-15

This is the text I used this previous semester for my Linear Algebra class. I had no linear algebra background before taking this class. That being said, this was one of the roughest classes I've ever got through only because the book kept going against the grain in every way possible. I didn't even begin to understand the entire point of linear algebra until about chapter 7 and 8 when the chapters started going into the general cases, and even now, I know how to "solve" all the problems without even knowing their meaning, which seems totally pointless to me. The selected answers to the problems in the book are in no particular pattern. It's not "all odds" or "all evens"; it's just scattered and it made doing homework a nightmare. I felt like I was back in elementary school while reading this book, because back then all I did was learn "methods" of solving problems without understanding "why". The book almost never discussed the purpose or main idea of the subjects it discussed. The "explanations" it gave would be based off of other vague topics. For example "What is the Eigenvector Problem? Well, the eigenvector problem asks if there is a basis for R^n in a nXn matrix consisting of eigenvectors of said matrix", OK so What's a basis? "A basis a set of vectors for a vector space S is linearly independant and/or set that spans the space S" and the cycle kept hitting me with one definition after another without giving me a big picture or anything. A bit of the book is about "applications" of linear algebra, but doesn't help until you've understood the meat of the book that came beforehand. Also, there were no teachers' solutions manuals available when I took this class, because the distributers have been extremely lax about getting them out (why? who knows). I'm not just saying this book is bad because I was lazy and didn't do well. I worked extremely hard to do "well" in this class. I must have read this book twice through and like I said before, I can solve all the problems but please don't ask me to explain their significance or validate their existence, because I can't. STAY AWAY!

Learn-by-rote Linear Algebra (8th edition).......2005-10-19

At my university, David Lay's book is used. They experimented with Anton's (this), and now they're back to Lay's Linear Algebra. Insofar as a Linear Algebra is taught relying heavily on matrixes, I can compare this book with 3 other books: David Lay's; Terry Lawson's; and the one by Hans Schneider and George Barker (Dover book, very cheap). Anton's Linear Algebra has the least theory of all 4. It results in an even poorer product than his Calculus book. Truth be told, I did not use Anton's book, and neither do I wish to. I've suffered too much of his "style" from Calculus, and I saw enough of his Linear Algebra to want to risk jeopardizing my study effort to delve into his book. I'll stick with my other 3 books, thank you very much If you must know: as to what regards "theoretical bent", the order is: Schneider > Lawson > Lay > Anton. Applications: Schneider < Lawson ~ Lay < Anton, but only because Anton's discussions are a little more extensive (not by a great margin). Applications really seems to be its strong point, spanning more than 100 pages in a single chapter, with many interesting and somewhat detailed discussions on "Real World" (to use a term dear to Computer Science types) applications: ecology, graph theory, computer tomography, etc. (none of which you'll learn from this book, by the way, each is a field of its own). I can't recommend it, except as a curiosity.

starts with tangible topics.......2005-07-19

Anton is now in the 9th edition of this book. Spanning decades of refinement. What you get is a very polished and well written text, that has incorporated feedback from generations of students.

The book starts by describing matrix manipulations and determinants. These are very tangible things to most maths students. Accordingly, explaining how to take determinants or to invert a matrix lets you build confidence in your knowledge. Also, these topics lends themselves readily to many problems for you to do.

After this, the book heads into more abstract territory. Null and range spaces and the rank nullity theorem, for example. You are exposed to the concept of an abstract vector space. Which invariably some students always trip over. So the grounding in the early chapters can mitigate this awkwardness.

The last chapter touches lightly on the interesting applications, like chaos and fractals. But mostly to pique your interest in proceeding further in the field.

Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications

Average customer rating:

A classic, richness in knowledge few books attempt anymore.
A righteous calculus text
Very thorough, but very dense
Weak
Review of Tommy Volume 2

Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications
Tom M. Apostol
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471000078

Customer Reviews:

A classic, richness in knowledge few books attempt anymore........2006-05-15

I used these books (Vols. 1&2) in my last two years of high school back in South America. I remember long nights of bad coffee and cigarettes locked in my room reading it over and over. The book is full of really cool knowledge (even for a non-mathematician). Most of today's students learn like little parrots, (without thinking or understanding) just repeating things mindlessly. This will make this book unpopular among these people because having to read a sentence and stop to figure things out on their own is too hard a challenge for them. I guess that like the high standard of the education of old when teachers loved teaching and their subject this book is also going the way of the dinosaurs. I'll get my copy before that if I were you though ;-)

A righteous calculus text.......2005-09-19

This one of the more righteous books in the author's oeuvre and that is saying something! The subject matter is closely akin to a course I took in Freshman year however it excludes manifolds and operatoins on them. In this respect, the book is not as good as some others out there for an integrated view that even a frosh can grasp. However, overlooking this shortcoming, the text is definitely righteous, being one of the few out there with this integrated approach and being a classic of sorts.

Very thorough, but very dense.......2004-11-18

I'm currently taking an honors calculus sequence at the U of WI, and have used this book and the first volume for the past three semesters. Needless to say, you have to take Apostol with a grain of salt. Although the no-frills style and lack of worked examples is upsetting to many students who are used to pictures, thorough examples, and color, these volumes cover a lot of material in a small space. And also beware; my professor and others in the math department have found errors in definitions and theorems, and the archaic notation is off-setting at times. Basically, if you're looking for straighforward information (written by a mathematician, for a mathematician), you've found the perfect book. If you're looking for an easy-to-read and understand book, keep searching.

Weak.......2004-08-25

Few books in the mathematical literature have given me so much pain as this one. Freshman year, I took a heavily theoretical linear algebra class with Tommy II as the textbook, and then the next term I took multivariable calculus out of this book as well. In either case, this book was my first experience with the material, though as an "introductory" text it should have done the job. Suffice it to say that neither experience was terribly positive.

My problem is that Apostol never seems to try to motivate ideas well, and he uses cumbersome, nonstandard, and occasionally inconsistent notation. His proofs can be inelegant and opaque at times. He is far too sparing on geometrical intuition as a way to understand the material, preferring to talk in symbols rather than pictures. (This is especially true in the first five chapters on linear algebra. His multivariable chapters are well-illustrated, but calculus on R^n seems to be trivial once calculus on R is under your belt from a good introductory book like Larson/Hostetler/Edwards at a high-school pace. Thus, the motivation is needed least where it is used most.) As a result, I feel that I still don't intuitively understand how operators work on inner-product spaces, even after trying to remedy my deficiencies for a year and a half now.

I attributed my lack of understanding to my stupidity, but then I found myself learning exterior forms from Arnol'd's excellent mathematical mechanics book and groups from Dummit/Foote's superb abstract algebra text - and understanding the exposition perfectly. And I started to feel that this book is the thing at fault.

If a prospective reader is prepared for the terseness and difficulty of Apostol, I recommend that s/he go straight to the real math rather than settling for this obfuscated treatment of inroductory subjects. It is no harder to learn the rudiments of metric topology than it is to learn Apostol's open balls, and it seems no more inspired to take on Halmos' linear algebra classic, with its intimations of Hilbert space, than it is to struggle through Apostol's treatment. (The former seems to combine considerable difficulty with terse, but wonderful, motivation, but don't take my work on that: I'm only forty pages into it!) But the books are more inspired, and the math is far more general and beautiful.

My recommendation: learn your calculus (and potentially your first linear algebra) patiently but thoroughly from a prosaic, worked-example-ridden, 1000-page monster, then go straight to the upper undergraduate/early graduate classics for the real fun. Tommy II, caught somewhere in the middle, has no place in this plan.

Review of Tommy Volume 2.......2003-12-27

I am currently enrolled in BC Calculus in my high school as well as linear algebra at a local college. What better way to learn both together than with Tommy. This is a great book to learn the connections between the two and how to do real linear algebra, not straight algebra but differentiating and doing calculus on whatever spaces you want. It's very concise, however not so clear. I skipped into BC and spend a lot of free time doing math and this book is still a bit deep. Also, the tie-ins to LA are definitely not going to be apparent off the bat. I have a really great LA teacher so I find myself skipping over some of his more complicated expressions of very simple items, however if i were a newcomer to LA, this would be totally confusing and Greek. I agree with the other reviewers, if you're familiar with calculus and LA and want to learn more about each and their connections, this is the bible, however, if you're a newcomer to one or both, definitely learn each separately and more simply. The book is very proof based and states it assumes you know how to use the mathematical objects it's presenting, now it's showing you why they work. Some of his expressions are like physics problems mindset, first look you'll have no idea, but if you think about it, eventually the ideas all fall together. A great book and recomended to anyone experienced enough to handle it.

Linear Algebra with Applications (3rd Edition)

Average customer rating:

Professor hates book
Too Complicated
A great book for self-tutoring
Good for the right crowd...
Otto The King

Linear Algebra with Applications (3rd Edition)
Otto Bretscher
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Hardcover

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ASIN: 0131453343

Book Description

KEY BENEFIT: This trusted reference offers an intellectually honest, thought-provoking, sound introduction to linear algebra. Enables readers to grasp the subject with a challenging, yet visually accessible approach that does not sacrifice mathematical integrity. Adds over 400 new exercises to the problem sets, ranging in difficulty from elementary to more challenging. Adds new historical problems taken from ancient Chinese, Indian, Arabic, and early European sources. Strengthens geometric and conceptual emphasis. A comprehensive, thorough reference for anyone who needs to brush up on their knowledge of linear algebra.

Customer Reviews:

Professor hates book.......2007-09-27

This is the first semester my college has used this book and it will most likely be its last. Everyday, my professor says how unhappy he is with this book because they present information in an odd sequence. For instance, we learned about subspaces before knowing what an actual space is. This makes the book very confusing and hard to follow. Just a warning: almost every example (not problem) in this book is done in symbols which is sometimes hard to follow. Overall, I would not buy this book

Too Complicated.......2007-05-07

This is THE worst math book I have seen in my student career. It assumes that the student knows most of the stuff, and then just goes on to provide examples based on those assumptions. I would not recommend this to anyone who is just starting out on linear algebra as this book nearly destroyed my grades. If it weren't for another algebra book, which was much easier to understand, I wouldn't have been so lucky. Definitely one of the worst out there !

A great book for self-tutoring.......2006-06-03

I took an undergraduate course in linear algebra which assigned this textbook and basically, it made the lectures dispensable, it was that good.
The text is very well written and presents the concepts being discussed in a visual manner complete with many diagrams to aid the reader. A fresh surprise is that the author's personality really shines through in the text as he includes many side comments and interesting historical footnotes which really enrich the book. Every new concept/lemma presented is coupled with an example which I find to be extremely important.... and for further study the end of the chapter problems range from simple computational types to nail down various processes to much more abstract and proof oriented types which are very rewarding and insightful.
Now, this book was assigned to both the linear algebra course for math majors and the linear algebra course for engineers and it was my understanding that math majors preferred the text over the engineers. This is probably because it is a conceptual/theoretical treatment of the material and does not really contain too many applied math problems. It is only in the last few chapters regarding linear differential equations in which the book delves into mathematical physics where the applications are obvious.
Regardless, if you want a textbook to learn the fundamentals of linear algebra this is it.

EDIT: I forgot to mention that there's a whole section on data-fitting and least squares which is purely applied linear algebra... so there's a bit more applications than I remarked earlier.

Good for the right crowd... .......2006-03-22

This text was developed by the author during his time on the mathematics faculty at Harvard for specific use in the second semester of a two semester, undergraduate sequence on multivariable calculus and linear algebra. It is intended for physics, chemistry and strongly quantitative economics majors. As such, in terms of complexity it is more par with a collegiate abstract algebra text, with a clear focus however on linear algebra. The "applications" portion of the title is a bit of a misnomer, as examples only occur in the problems and almost never in the examples (which are designed instead to show the theoretical precepts and continuity underlying the field). In general, this text is above the intellectual capabilities of but the most dedicated users of applied mathematics, and those especially is the fields of economics and finance as generally taught at the undergraduate level would best look elsewhere. Most prominently, the text has almost no redundant examples, which makes it a enjoyably lucid read for those who grasp concepts quickly on the first go, but a dead end for those who come up short. I would not as professor think of assigning this book to non-Ivy caliber students outside of pure math; even Harvard students seemed to struggle with it at times.

Otto The King.......2006-01-01

The author is also known as Otto The King within our university. This is an excellent book with deep insight of the material, many very good examples, and a very good author who presents the material at his best.

Simply the king, if you are going to buy a book on linear algebra, this should be it.

Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality

Average customer rating:

All four elements...
Quaternions for you
Excellent - But for Position-Level Kinematics Only
Great for fixed rotations, bad for simulation
Truly this work will be a classic

Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality
J. B. Kuipers
Manufacturer: Princeton University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0691102988

Book Description

Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, guiding the Space Shuttle, and developing computer applications in virtual reality. In this book, J. B. Kuipers introduces quaternions for scientists and engineers who have not encountered them before and shows how they can be used in a variety of practical situations.

The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and familiar 3 x 3 (9-element) matrix rotation operator. These parallel presentations allow the reader to judge which approaches are preferable for specific applications. The volume is divided into three main parts. The opening chapters present introductory material and establish the book's terminology and notation. The next part presents the mathematical properties of quaternions, including quaternion algebra and geometry. It includes more advanced special topics in spherical trigonometry, along with an introduction to quaternion calculus and perturbation theory, required in many situations involving dynamics and kinematics. In the final section, Kuipers discusses state-of-the-art applications. He presents a six degree-of-freedom electromagnetic position and orientation transducer and concludes by discussing the computer graphics necessary for the development of applications in virtual reality.

Customer Reviews:

All four elements..........2007-09-17

Quaternions are not as intuitive as 3x3 matrices however this book give a strong understanding of quaternions so that the reader can let go of the 3x3 matrix and successfully, in my case at least, change over to only using quaternions. This has proven useful in my simulations for, and firmware code for, satellite attitude determination and control. In the version I have of this book, there are some mistakes that hopefully will be corrected, but the mistakes are obvious and easy to overlook. I hate quaternions but they are powerful tools in solving real world problems. This book made quaternions interesting and bearable. If you already have a really good understanding of quaternions, this book might help, but it has a long introduction into quaternions so you might want to review the book using the online outline to see if it actually covers more than what you might already know.

Quaternions for you.......2007-07-14

This is an excellent book, it's right up there with Gilbert Strang's Linear Algebra texts.
Want to understand quaternions and rotational matrices, well this is the book for you. Starts with the basics, coordinated transformations and such, and moves at a reasonable pace into quaternions. Others at work, looking at this book felt that they understood the text. Interestingly these were software engineers that never really gotten basic college calculus. Never could understand why many software people are so light on math. Different part of the brain I guess. Author vs. engineer.

Excellent - But for Position-Level Kinematics Only.......2007-06-20

This is a very thorough and user-friendly book for understanding quaternions. However, to my disappointment, it covers only position-level kinematics. On the applications part, I find that the absence of velocity-level, and acceleration-level kinematics, and the relations to the angular-velocity and angular-acceleration vectors, are completely missing in action, and prevent this book from becoming a real practical text to support some real applications. Add these, and I believe this will become the textbook for the topic.

Great for fixed rotations, bad for simulation.......2007-03-11

This book would be hard to beat for its clear and simple discussion of matrix rotations. It goes through practical derivations, and give a golden equation at the end. Additionally these equations are re-referenced and re-used many times. Excellent style! After a great introductory review, three different useful rotations are discussed:
Aerospace sequence: matrix rotations given heading, pitch and roll
Orbit Ephemeris: figure out where a satellite will be given 3 parameters
Great Circle Navigation: get a surface heading to any point on the earth

Sequences, however, means the combination fixed rotation components and NOT time series. For someone trying to do physics simulation, this book offers nothing on angular velocities, angular momentum or the representation of multi-modal or harmonic rotational inertia. Topics that involve movement under inertia are not discussed (e.g. the tumble of a spinning satellite, or the similar "Feymann Frisbee" which provided the simple insight that lead to the Nobel Prize). For this, I recommend *also* getting "Introduction to Space Dynamics" by Thomson which is harder to read, but includes more advanced examples. These two books combined will give you the basis of writing your own physics simulation software.

Simply put, this book alone would be all you need for a basic flight simulator game, but it won't help simulate an airplane tumbling out of control (under angualar momenutum, objects can and often do rotate in more than one inertial axis).

Truly this work will be a classic.......2006-02-09

This book is one of the very few mathematical, engineering, physics texts that I have come across in my 37 year career that stands out as a classic to be. I read the entire book and because it is so good, it is one of the few that I actually retained.
The book SAVES TIME. It saves time because you can learn the material without second guessing what the author is trying to say, because he wrote the book to TEACH you the material, not so you could stand in awe at his skill.
Because he took this topic and made it understandable in a way that so few books of its type do, his skill is evident in his clarity.
Anyone who can teach a subject like this in a book, with no classroom instruction knows his subject cold.
This is a winner. Big time.

I want to personally thank the author for taking the time and pains to write his book for me and countless others who stumble around in the world of physics, mathematics and engineering trying to get a grasp on our massive field. His contribution shines.

Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics)

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Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics)
M. P. Brodmann , and R. Y. Sharp
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521372860

Book Description

This book provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, and illustrates many applications for the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Castelnuovo-Mumford regularity, the Fulton-Hansen connectedness theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. It is designed for graduate students who have some experience of basic commutative algebra and homological algebra, and also for experts in commutative algebra and algebraic geometry.

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Elementary Linear Algebra with Applications
Howard Anton , and Chris Rorres
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471433284

Book Description

Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory

Average customer rating:

Where do you find that arcane result ?

Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory
Dennis S. Bernstein
Manufacturer: Princeton University Press
ProductGroup: Book
Binding: Hardcover

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Book Description

Matrix Mathematics is a reference work for users of matrices in all branches of engineering, science, and applied mathematics. This book brings together a vast body of results on matrix theory for easy reference and immediate application.

Each chapter begins with the development of relevant background theory followed by a large collection of specialized results. Hundreds of identities, inequalities, and matrix facts are stated rigorously and clearly with cross references, citations to the literature, and illuminating remarks. Twelve chapters cover all of the major topics in matrix theory: preliminaries; basic matrix properties; matrix classes and transformations; matrix polynomials and rational transfer functions; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; norms; functions of matrices and their derivatives; the matrix exponential and stability theory; and linear systems and control theory.

A detailed list of symbols, a summary of notation and conventions, an extensive bibliography with author index, and an extensive index are provided for ease of use. The book will be useful for students at both the undergraduate and graduate levels, as well as for researchers and practitioners in all branches of engineering, science, and applied mathematics.

Customer Reviews:

Where do you find that arcane result ?.......2006-04-26

Sometimes it is very difficult to find out a matrix theorem that is used in a technical publication.

I have books by Gantmacher, Horn, Meyer (undergraduate), Kunze and Hoffman and Jan Magnus but if you NEED to quickly find a result, open this book. Thousands of matrix theorems and facts.

Very good reference.

Dynamical Systems with Applications using Maple

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Maple a powerfull tool
More information
This is great book
very nice introduction to dynamical systems
The MAPLE programs and web pages make this book unique.

Dynamical Systems with Applications using Maple
Stephen Lynch
Manufacturer: Birkhäuser Boston
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Binding: Paperback

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ASIN: 0817641505

Book Description

"Dynamical Systems with Applications using MAPLE" covers standard material for an introduction to dynamical systems theory. The text begins with a tutorial guide to MAPLE and thereafter is divided into two main areas: continuous systems using ordinary differential equations and discrete dynamical systems. In the first part of the text, differential equations are used to model examples taken from various disciplines, including mechanical systems, chemical kinetics, electric circuits, interacting species, and economics. In the second half, both real and complex discrete dynamical systems are considered and examples are taken from economics, population dynamics, nonlinear optics, and materials science.

Approximately 200 illustrations, over 250 examples, and exercises with solutions play a key role in the presentation. The book has a hands-on approach, using MAPLE as a tool throughout.Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters. Some chapters deal with recently published research articles and provide a useful resource for open problems in nonlinear dynamical systems.

The text is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.

Customer Reviews:

Maple a powerfull tool.......2007-10-08

This is an excellent book. It helps the beginners of "Dynamical Systems" to understand this branch of Mathematical Physics using Maple. It is very useful for undergraduate students as well as for teachers.

More information.......2003-09-30

Thought I'd give a more in depth review than the others here.

Most advanced math textbooks contain one or two chapters that turn me off. I must say that every chapter in this book had useful information or very good applications.

The opening chapter is a brief introduction to Maple V (some Maple 8 commands are posted on the books website). Note that Maple 9 is now out and no doubt Maple X will soon follow.

Chapters 1-7 cover planar systems in some detail, vectorfield in DEplot is a real winner here. Chapters 8 and 9 cover 3D and nonautonomous systems - the poincare command in Maple is a real time saver.

Chapters 10-12 cover a lot of research results on limit cycles - the most lucid I have seen in any textbook.

The remaining half of the book concentrates on both real and complex discrete systems. There are the usual cobweb diagrams, bifurcation diagrams and Mandelbrot set. Where this book comes into its own, however, is in Chapters 16-20.

Lasers and nonlinear optics are investigated using complex iterative maps. Fractals and even multifractals are discussed in some detail. The book ends with a chapter dedicated to chaos control.

Overall, the book is concise with pertinent examples and applications. It is not dogged down with math notation, theorems and proofs.

Strogatz, Perko and Allgood are good books to practice more Maple programing techniques.

This is great book.......2003-08-05

This is only book I find with program files that work right away. Graphics in Maple is excelent for chaotic system and algebra very powerful. I like to rotate figures in 3D and use animation. I learn more about optics, it nice to see complex numbers used in applications. Lots of other applications also.

Book is best for students who want to get programs working quickly. There is a website with working programs. You should also look at Maple Application website for many many examples.

I recomend book to everyone.

very nice introduction to dynamical systems.......2002-02-08

This book is a very nice introduction to the theory of dynamical
systems. It covers all aspects and even more than usually thaught
in a class on dynamical systems. Especially, I like to see
many examples for various applications. These examples and the
Maple programs make it well suitable for students to learn
on dynamical systems by themself.

The MAPLE programs and web pages make this book unique........2001-08-04

A great book. Great web pages and short, easy to copy and edit
Maple programs. Lots of material not covered in other books on this topic. Maple is my favorite package. The others are not
as user friendly. I felt I must write again since amazon have been showing excerpts from book. What a geat idea. Chapters in this book that interested me were fractals, multifractals and
optics. Authors web-site is given on back cover of book. Enjoy!

Average customer rating:

Can be tough to get by with at times
Teffific introductive book

Linear Algebra With Applications
W. Keith Nicholson
Manufacturer: Pws Pub Co
ProductGroup: Book
Binding: Hardcover

General | Mathematics | Science | Subjects | Books

Book Description

This successful text is an introduction to the basic ideas and techniques of linear algebra for first- or second-year students who have a working knowledge of high school algebra (calculus is not a prerequisite). The author maintains a balance among the computational skills, theory, and applications of linear algebra--while keeping the level suitable for beginning students--and offers a multitude of examples and exercises to help students master the material.

Customer Reviews:

Can be tough to get by with at times.......2004-05-08

This book is a good start for linear algebra; it touches upon the basics at first to make sure you have the required skills before moving onwards. However I personally found that there were too many proofs, even for algebra which can be very proof heavy. Also the book could use more examples, especially when touching upon tougher concepts such as sub/vector spaces.

Teffific introductive book.......2003-04-03

This is a wonderful and easy to follow book about linear algebra. After reading this book with clear concept establishment, you might go ahead more advanced books.

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