Differential Equations, Dynamical Systems, and an Introduction to Chaos (Pure and Applied Mathematics (Academic Press), 60.)
Average customer rating: 4 out of 5 stars
  • A new version of a classic book
  • Excellent Book
  • good, not ideal
  • New Edition
Differential Equations, Dynamical Systems, and an Introduction to Chaos (Pure and Applied Mathematics (Academic Press), 60.)
Morris W. Hirsch , Stephen Smale , and Robert Devaney
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0123497035

Book Description

Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.

The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of the Field's Medal for his work in dynamical systems.

* Developed by award-winning researchers and authors
* Provides a rigorous yet accessible introduction to differential equations and dynamical systems
* Includes bifurcation theory throughout
* Contains numerous explorations for students to embark upon

NEW IN THIS EDITION
* New contemporary material and updated applications
* Revisions throughout the text, including simplification of many theorem hypotheses
* Many new figures and illustrations
* Simplified treatment of linear algebra
* Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor
* Increased coverage of discrete dynamical systems

Customer Reviews:

4 out of 5 stars A new version of a classic book.......2007-02-21

I bought a copy of this new book and I have its old version with Hirsch and Smale as its only authors. Main differences between these books are some new chapters covering chaos and the exercises. Old version has better chapters dealing with linear algebra. I find this new version hard to read and it leaves many details to be filled by the reader. I would say that the new version is still a good choice for a second course in ODE or supplementary text for a graduate course. I gave it four stars.

5 out of 5 stars Excellent Book.......2006-05-05

This is a great introduction to the next stage of differential equations after a first course. Devaney is a master of presenation, and makes everything seem easy. It is not as encyclopedic as some other books on this material, such as Arnold and Perko, but it is easier to read and still covers the most important advanced material.

4 out of 5 stars good, not ideal.......2005-12-08

the two books by hirsch smale, one with devaney, seem like good books, but I am not crazy about either, at least from the few pages one can search online here.

the latter book with devaney just seems a dumbed down version of the earlier book by the two more famous authors. i expected that earlier book to be far better, but found to my regret that the two books actually share almost the same first page, and the main difference noticeable in the early going is that the 2 author work is poorly written, and the 3 author one is not written much better.

it is clearer but seems to be talking down to the reader in an annoying way. so neither is the absolute pleasure to read that the wonderfully written text of arnol'd is, or the classic of hurewicz. i would skip these books and get arnold and hurewicz instead.

4 out of 5 stars New Edition.......2004-02-26

You should be aware that there are two similar books with similar titles by the same authors. The old edition is a hardcover all green book by Hirsch and Smale called:

"Differential Equations, Dynamical Systems and Linear Algebra"

The second with the lorenz attractors in yellow on the cover is by Hirsch, Smale and Devaney and is called:

"Differential Equations, Dynamical Systems and an Introduction to Chaos"

Now, that may be obvious to you, but it is important to note that because those are VERY different books (which I have both of right here). The 'old' one is a more theoretical text that mainly addresses linear systems and is organized more like a math monograph than a contemporary (i.e. with pictures and examples) textbook. It is difficult for most people. The newer version is COMPLETELY different and is written for a more diverse audience. It starts with linear systems but then goes into nonlinear systems and discrete systems. It is somewhat similar in character to Strogatz's Nonlinear Dynamics and Chaos. If you do not have a very strong abstract theoretical type of math background I would not recommend you start learning about differential equations from the "old" edition. You will find it very difficult. If you are used to a general abstract presentation of results you should be fine. For the NEW edition the level is very different. I would guess that courses in multi-variable calc, elementary diff eq, and linear algebra (if you understood them) would be sufficient preparation. Both books are excellent, just be clear on what you are looking for.
Fundamental Methods of Mathematical Economics
Average customer rating: 4.5 out of 5 stars
  • Great introduction to mathematical economics!
  • A must read text book for any economics undergrad student
  • A must read for graduate students in economics
  • not so good
  • The best math textbook for economist
Fundamental Methods of Mathematical Economics
Alpha C Chiang
Manufacturer: McGraw-Hill/Irwin
ProductGroup: Book
Binding: Hardcover

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ASIN: 0070108137

Book Description

The best-selling, best known text in Mathematical Economics course, Chiang teaches the basic mathematical methods indispensable for understanding current economic literature. the book's patient explanations are written in an informal, non-intimidating style. To underscore the relevance of mathematics to economics, the author allows the economist's analytical needs to motivate the study of related mathematical techniques; he then illustrates these techniques with appropriate economics models. Graphic illustrations often visually reinforce algebraic results. Many exercise problems serve as drills and help bolster student confidence. These major types of economic analysis are covered: statics, comparative statics, optimization problems, dynamics, and mathematical programming. These mathematical methods are introduced: matrix algebra, differential and integral calculus, differential equations, difference equations, and convex sets.

Customer Reviews:

5 out of 5 stars Great introduction to mathematical economics!.......2007-07-18

I enjoy Chiang's writing style. I've been reading up on mathematical methods in preparation for a masters econ program, and feel very comfortable with the material thanks to this textbook. The international edition is a good bargain.

5 out of 5 stars A must read text book for any economics undergrad student.......2006-04-02

I found it extremely easy to read and at the same time rigorous enough to settle the bases. The author knows very deeply the economics students needs of mathematical methods and achieves a precise and complete explanation of all notions I needed to know for my undergrad course. I strongly recommend it during the first or second year.

4 out of 5 stars A must read for graduate students in economics.......2006-02-26

Alpha Chiang's text should serve as the foundation for all quantitive analysis done in economic theory. It is an invaluable teaching tool for graduate students in economics and will help them better understand the mathematical techniques that have become so necessary for economic modeling.

I am not a highly quantitative person myself, but I found Chiang's book comprehensible and a useful reference guide in my gradaute economics classes. Along with Hal Varian's "Microeconomic Theory" and Jan Kmenta's "Econometrics", I would say that Chiang's "Fundamentals of Mathematical Economics" should serve as sacred literature for any prospective graduate student in economics.

3 out of 5 stars not so good.......2005-10-14

the text carries to excess the concept of "keeping the presentation as simple as possible". but in general you cannot understand or solve problems with a fifth grader's ability to abstract them.
especially the relunctance to use matrix notation makes some topics actually harder to understand once they become more complicated.
furthermore I find the structure quite confusing since the text amounts to a monotous blabla - clear definitions might be helpful and some rigor would keep the reader conscious instead of drifting off. after all the text is not so bad but I think we deserve something better. blume might be better.

5 out of 5 stars The best math textbook for economist.......2005-09-30

That is why it used everywhere, in nearly all economic departments. I strongly recommend you buy this book. It really helped me in my undergrad, and it is helping in my graduate courses. If you want to buy another book to accompany this, get Simon and Blume book. One person (probably little masochistic) was saying that Chiang has so many examples, blah, blah, blah. Look, not everyone is a math genius, undergraduate student's need Chiang, it's even useful for graduates. Math is used quite too excessively in economics...showing off?
Differential Equations and Linear Algebra (2nd Edition)
Average customer rating: 2.5 out of 5 stars
  • weak very weak..
  • Not suitable for learning or teaching. Great if one already has a grasp on the subject.
  • strong coverage of numerical methods
Differential Equations and Linear Algebra (2nd Edition)
Henry Edwards , and David E. Penney
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Hardcover

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ASIN: 0131481460

Book Description

Known for its real-world applications that grab readers' interest, this proven reference offers a full treatment of linear algebra. Discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. Integrates scientific computing environments like Maple, Mathematica, and MATLAB. Extensively rewrites key sections with a fresh qualitative approach. Adds approximately 300 new computer-generated figures. Adds approximately 300 new or revised problems, many with a qualitative emphasis. A comprehensive reference for anyone who needs to improve their linear algebra skills.

Customer Reviews:

2 out of 5 stars weak very weak.. .......2006-06-15

I have decided to change my review for this product, originally I gave it a 2/5 but now am changing it to a 1/5. Since I have written the review originally I have picked up the solutions manual, and although the solutions manual helps a little bit there is no getting around how poorly this book was written.

The problem is the lack of worked problems, there is on average only one worked problem that is usually pretty easy, and very different from the problems in the sections the student is to work.

the only reason that this book should get one star is that they managed to put ink on paper and bind it all together.

A very disatisfied customer

The author does not explain how to do the problems very well at all. For all of us non math majors this book is very hard to interpret, I often spend hours trying to piece together the puzzle the author calls worked problems. Its not unusual that the examples are spread out in fragments across several pages adding to the difficulty in readibility.

1 out of 5 stars Not suitable for learning or teaching. Great if one already has a grasp on the subject........2006-04-24

First before I give my review of this book, I see it as necessary to give a description of myself. I am both a teacher and a student, and I have about six years teaching experience in all levels of mathematics up to calculus II.

I can honestly say that this is the worst textbook that I have ever used. I would say that with reservations if it were even remotely untrue. This book, while making a daring attempt to cover many complicated areas of mathematics, fails to provide a good resource for either in the class or out of classroom learning.

The areas specifically are:
1. Problem Examples
Differential equations are at times extremely difficult. Frequent skipping of steps and examples that are far too simple considering the practice problems given achieves little in the way of teaching.

2. An excessive focus on paragraph after paragraph of writing, while little attempts to make said writing flow along with the learning of technique and example problems.

These are the technical aspects that are poorly executed. Beyond that, perhaps the worst aspect is the presumptious tone of the author that a concept may appear 'obviously' or 'clearly' or 'simply'.

I do not recommend this book unless you already have quite a formal understanding of differential equations. If you do however, the reference to numerical methods and symbolic methods in Mathematica, Matlab, and for the TI-89 are superb. But I stress that is only if you already have an understanding of the topic. I acknowledge that it can be extremely difficult to write a good textbook. This book fails to provide a good source for new learners.

5 out of 5 stars strong coverage of numerical methods.......2005-01-02

When I first learnt differential equations and linear algebra, it was with texts written in the 60s and 70s. So I turned to this book with interest; wondering what has changed. Well, at the level of the book, most of the material has been known for decades. But one immediate difference is the profusion of diagrams and the increased use of colour. Due in part to improvements in printing technology. It means that current students also have more visual cues to learn from. When one is studying differential equations, this can be quite useful.

Also, there is indeed new material here. Numerical methods are prominently discussed in many sections. Due to vastly more common availability of computers. So students are not restricted to handling only those problems that can be solved by hand, to give simple analytic results. The scope of learning has expanded. Now granted, most of the numerical methods in the book were already known in the 70s. But they were usually presented in texts devoted to numerical analysis, for people specialising in that field. Nowadays, it can be used in other branches of maths, like that covered by this book.

Along these lines, the authors exhibit an ecumenical attitude towards what computer languages a reader might be familiar with. Example programs are given in Basic and for the TI-89. For symbolic algebra, code is furnished for Maple and Mathematica. They recognise that readers might have different preferences and they try to outreach to as many as practical.
Iterative Methods for Sparse Linear Systems, Second Edition
Average customer rating: 5 out of 5 stars
  • Excellent work
  • Wonderful Book
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Iterative Methods for Sparse Linear Systems, Second Edition
Yousef Saad
Manufacturer: Society for Industrial and Applied Mathematics
ProductGroup: Book
Binding: Paperback

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ASIN: 0898715342

Book Description

Tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of linear and nonlinear systems arising in typical applications has grown, meaning that using direct solvers for the three-dimensional models of these problems is no longer effective. At the same time, parallel computing, becoming less expensive and standardized, has penetrated these application areas. Iterative methods are easier than direct solvers to implement on parallel computers but require approaches and solution algorithms that are different from classical methods. This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations, including a wide range of the best methods available today. A new chapter on multigrid techniques has been added, whilst material throughout has been updated, removed or shortened. Numerous exercises have been added, as well as an updated and expanded bibliography.

Customer Reviews:

5 out of 5 stars Excellent work.......2006-08-12

We used this book to prove a theorem in our studies that is directly related to my PhD thesis on spatial data mining and spatial statistics. This book is a master-piece.
Thanks Dr. Saad.

5 out of 5 stars Wonderful Book.......2005-06-30

This is one of my favorite books in my library on this subject. Also I have used this book for my class as main textbook along with "Iterative Methods for Solving Linear and Nonlinear Equations" by C. T. Kelley , which is another SIAM book.
Highly recommended.

5 out of 5 stars Great Book.......2000-05-24

This is a great book for this subject. The book is easy to follow and Saad does a wonderful job of illustrating with examples. This is a great textbook or a book for reference. This book does a particularly good job with Krylov methods and does a reasonable job with preconditioning.
Applied Mathematics Body and Soul, Volume 3: Calculus in Several Dimensions
Average customer rating: 4 out of 5 stars
  • Calculus + Linear Algebra in One Series
Applied Mathematics Body and Soul, Volume 3: Calculus in Several Dimensions
K. Eriksson , D. Estep , and C. Johnson
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540008918

Book Description

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. Volume I (Derivatives and Geometry in R3) presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications. Volume II (Integrals and Geomtery in Rn) develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented. Volume III (Calculus in Several Dimensions) presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations. The authors are leading researchers in Computational Mathematics who have written various successful books. Further information on Applied Mathematics: Body and Soul can be found at http://www.phi.chalmers.se/bodysoul/.

Customer Reviews:

4 out of 5 stars Calculus + Linear Algebra in One Series.......2005-01-05

I wish Amazon would put a text list of the "Table of Contents" for books.

Sorry about the length: Amazon does not allow postings for each volume in a series!

Volume 1: Derivatives and Geometry in R^3
1. What is Mathematics?
2. The Mathematics Library
3. Introduction to Modeling
4. A Very Short Calculus Course
5. Natural Numbers and Integers
6. Mathematical Induction
7. Rational Numbers
8. Pythagoras and Euclid
9. What is a Function?
10. Polynomial Functions
11. Combinations of Functions
12. Lipschitz Continuity
13. Sequences and Limits
14. The Square Root of Two
15. Real Numbers
16. The Bisection Algorithm for f(x) = 0
17. Do Mathematicians Quarrel?
18. The Function y = x^r
19. Fixed Points and Contraction Mappings
20. Analytic Geometry in R^2
21. Analytic Geometry in R^3
22. Complex Numbers
23. The Derivative
24. Differentiation Rules
25. Newton's Method
26. Galileo, Newton, Hooke, Malthus and Fourier

Volume 2: Integrals and Geometry in R^n
27: The Integral
28: Properties of the Integral
29. The Logarithm log(x)
30. Numerical Quadrature
31. The Exponential Function exp(x) = e^x
32. Trigonometric Functions
33. The Functions exp(z), log(z), sin(z) and cos(z) for z e C
34. Techniques of Integration
35. Solving Differential Equations Using the Exponential
36. Improper Integrals
37. Series
38. Scalar Autonomous Initial Value Problems
39. Separable Scalar Initial Value Problems
40. The General Initial Value Problem
41. Calculus Tool Bag I
42. Analytic Geometry in R^n
43. The Spectral Theorem
44. Solving Linear Algebraic Systems
45. Linear Algebra Tool Bag
46. The Matrix Exponential exp(xA)
47. Lagrange and the Principle of Least Action
48. N-Body Systems
49. The Crash Model
50. Electrical Circuits
51. String Theory
52. Piecewise Linear Approximation
53. FEM for Two-Point Boundary Value Problems

Volume 3: Calculus in Several Dimensions
54. Vector-Valued Functions of Several Real Variables
55. Level Curves/Surfaces and the Gradient
56. Linearization and Stability of Initial Value Problems
57. Adaptive Solvers for IVPs
58. Lorenz and the Essence of Chaos
59. The Solar System
60. Optimization
61. The Divergence, Rotation and Laplacian
62. Meteorology and Coriolis Forces
63. Curve Integrals
64. Double Integrals
65. Surface Integrals
66. Multiple Integrals
67. Gauss' Theorem and Green's Formula in R^2
68. Gauss' Theorem and Green's Formula in R^3
69. Stoke's Theorem
70. Potential Fields
71. Center of Mass and Archimedes' Principle
72. Newton's Nightmare
73. Laplacian Models
74. Chemical Reactions
75. Calculus Tool Bag II
76. Piecewise Linear Polynomials in R^2 and R^3
77. FEM for Boundary Value Problems in R^2 and R^3
78. Inverse Problems
79. Optimal Control
80. Differential Equations Tool Bag
81. Applications Tool Bag
82. Analytic Functions
83. Fourier Series
84. Fourier Transforms
85. Analytic Functions Tool Bag
86. Fourier Analysis Tool Bag
87. Incompressible Navier-Stokes: Quick and Easy

This book/series has some problems; however, the attempt to wed Mathematical Analysis, Numerical Computation, and Application AND to also talk about Calculus and Linear Algebra at the same time -- makes these three books worth a look.
Banach Algebras and the General Theory of *-Algebras (Encyclopedia of Mathematics and its Applications)
Average customer rating: Not rated
    Banach Algebras and the General Theory of *-Algebras (Encyclopedia of Mathematics and its Applications)
    Theodore W. Palmer
    Manufacturer: Cambridge University Press
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0521366372

    Book Description

    This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.
    The Joy of Mathematica, Second Edition: Instant Mathematica for Calculus, Differential Equations, and Linear Algebra
    Average customer rating: 5 out of 5 stars
    • Second edition is optimized for Mathematica 4.0...
    • Fantastic!!!!
    • Making Mathematica a Joy to Use
    The Joy of Mathematica, Second Edition: Instant Mathematica for Calculus, Differential Equations, and Linear Algebra
    Alan Shuchat , and Fred Shultz
    Manufacturer: Academic Press
    ProductGroup: Book
    Binding: Plastic Comb

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    ASIN: 0126407304

    Book Description

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    * The CD:
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    The Book:
    * Contains ready-to-use exercises and labs for the mathematics classroom
    * Now includes more coverage of multivariable calculus and differential equations, in addition to single-variable calculus and linear algebra

    Customer Reviews:

    5 out of 5 stars Second edition is optimized for Mathematica 4.0..........2005-03-27

    Joy does work on Mathematica 5.1, however, the current version, and it runs on both Mac and PC platforms (OS X for the Mac and Windows XP for the PC).

    Joy is a wonderful compilation of program-based notebooks that shorten the time-to-use Mathematica dramatically, for both novice and computer-savvy students and learners. The manual is well-written, visually attractive, and uncluttered.

    Joy of Mathematica makes it far easier to graph (2- and 3-D, parametric, polar coordinates, and more), manipulate expressions (simplify, solve), differentiate and integrate functions, work with series and sequences, vector fields, matrices, multiple variables, and so forth.

    Writing adjuncts to Mathematica is something of a cottage industry, and several other Mathematica-based programs can help: Calculus Wiz (for high school and college students), Explorer, and Navigator, for instance.

    Wolfram Research (publisher of Mathematica) wants to penetrate the secondary-level educational market and is offering very attractive site licenses to schools and individual licenses to students at those schools. It is not clear whether the publishers of Joy will offer a similar site license and individual student purchase rate.

    Finally, it is not known at this point whether the authors will re-optimize Joy for Mathematica 5.1 version.

    5 out of 5 stars Fantastic!!!!.......2003-04-12

    A wonderful book! Maple has been described as "the force" in CAS with Mathematica described as "the dark force". This wonderful book brings Mathematica into the light.

    5 out of 5 stars Making Mathematica a Joy to Use.......2000-06-14

    "The Joy of Mathematica" really does make Mathematica software a "Joy" to use, and to learn. Users of Mathematica know and love the powerful capabilities of this excellent mathematical software environment for symbolic and numeric computation with incredible support for 2D and 3D graphics. Students and professionals considering adopting Mathematica are often awestruck by the enormous range of mathematical capabilities suddenly put at their fingertips. However, Mathematica is not a Joy to use, as each powerful command (and there are many) is accompanied by so many parameters and modifiers (all necessary), requiring a not so Joyful syntax. "The Joy of Mathematica" comes to the rescue, and indeed, it is a real JOY to use! "Joy" comes in the form of a book, an easy to use tutorial and guide, with an accompanying CD. The software on the CD installs easily, and modifies your own Mathematica "front end" environment by providing very useful and well organized pull-down menus which launch diaglog boxes. The diaglog boxes are great! They remind the user which parameters and choices need to be specified in the context of a particular Mathematica command. They provide immediate examples for the student to try. They output clear summaries of the entered requests, organize the computed output, and allow the user to view the actual Mathematica commands which "Joy" issues. This in turn helps the user learn Mathematica's arcane command syntax (if you want to bother). "Joy" provides the student and experienced user with the menu structure we all wish we had when using Mathematica. "Joy" is really a terrific teaching and learning tool for college students of science and engineering, and a great way to bring great math software into the hands of high school students. It's a "Joy" for me and my son, and it will work for you too.
    Differential Equations and Linear Algebra (2nd Edition)
    Average customer rating: 2 out of 5 stars
    • I wish I could give it a 0 out of 5 stars
    • Could be little worse
    • I'm certainly glad I'll never have to take another calc class after dealing with this crap
    • Trash
    • Craptacular
    Differential Equations and Linear Algebra (2nd Edition)
    Jerry Farlow , James E. Hall , Jean Marie McDill , and Beverly H. West
    Manufacturer: Prentice Hall
    ProductGroup: Book
    Binding: Hardcover

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    ASIN: 0131860615

    Book Description

    For sophomore-level courses in Differential Equations and Linear Algebra.

    Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors’ consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations — and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).

    Customer Reviews:

    1 out of 5 stars I wish I could give it a 0 out of 5 stars.......2007-02-14

    This textbook is the most vague textbook I have every read. The examples give no further explination or clarification. The text use terms such as "it is obviously" and "this way is pretty obvious". The homework problems assume that you do each problem in order because several problems reference previous problems for clarification. Several problems use methods discussed in the problems section and are not explained in the text. The book also assumes previous knowledge to be mastered. The authors have an understanding of math symbols that take the place of words (i.e. "such that"), but I don't. I need explinations of these symbols and it wouldn't have been difficult to insert a note.
    I am disappointed that my school chose thise textbook to use. Avoid using this text for anything other than homework. I would rather read an "Idiots Guide to..." than study using this textbook.

    1 out of 5 stars Could be little worse.......2006-01-28

    This textbook has a number of problems:
    1: It's expensive. I paid over $70, used, here on Amazon - it's over $120 new at the campus book store. This is particularly bad when you compare it to my other engineering calculus book, Thomas' Calculus 9th/Alternate edition - which is not only far cheaper (under $50, in good condition), it's also more than twice as long as Farlow's Diff. EQ.

    2: It's *extremely* technical. The descriptions are designed for a mathematics major. I am an engineering major - for my purposes, it is more important to understand the material and develop problem-solving skills than it is to learn abstract high-level mathematical concepts. Having technical descriptions is fine, but this text doesn't follow them up with "quick and dirty" methods and formulas. Thomas' Calculus, 9th ed., is far more approchable in this regard.

    3: The examples suck. They are too easy, too watered down, and there aren't enough of them. The text expects us to transform a few simple examples into the knowledge to do a whole series of complex problems.

    4: The problems are hard. Very hard. Sometimes, new concepts are introduced with a sentence or two *right in the problem set*.

    The purpose of the text is to teach the material and compliment the lectures by providing realistic problems. This text does neither.

    1 out of 5 stars I'm certainly glad I'll never have to take another calc class after dealing with this crap.......2005-11-08

    This is by far the absolute worst math book I have ever had the misfortune of using. The discussions teach everything using either completely abstract formulae or by using the absolute easiest example of that problem type. Then you get to the questions, which expect you to have mastered the concept of the preceding 10 pgs or so and be able to extrapolate these concepts to other topics (which the book offers no explanation of how to do). Overall, I would say you're better off learning this material from your cat's litter box, as it will probably make more sense. Also, i'm sure your cat put more effort into its litter box than the author's of this text put into writing this text.

    1 out of 5 stars Trash.......2005-11-02

    This book's attempts to teach anything do anything but teach. Each section has about ten pages of explanation followed by a bunch of problems. Unfortunately the explanations do anything but explain to people that are trying to learn math. If you're a math wiz you might be able to decrypt what they're talking about, but as a student I had no idea. In the examples the authors often use explanations such as "it is obvious that..." and "we remember from..." The lack of explanation (mainly laziness on the authors' part) makes it very hard to follow what they're talking about, and the problems afterwards often expect the reader to know things that weren't discussed or appeared as a one-sentence blurp in the margin. So unless you're a massochist or already know this stuff like the back of your hand and need a reference guide, spend your money someplace else.

    2 out of 5 stars Craptacular.......2005-02-08

    Unless you use this book straight away after taking an intensive Calculus II course, you're going to have absolutely no clue how they are doing any of the problems. They leave the "explanations" at an unacceptably high-level abstraction so that only those very freshly well-versed in Calculus can venture an understanding. Also contains no refreshers, not even a simple list of common integrals or integration formulas from Calculus. Just a crappy book, in my opinion.
    A First Course in Linear Algebra
    Average customer rating: 4.5 out of 5 stars
    • NOt for a freshman
    • Excellent text
    • This book is great!
    A First Course in Linear Algebra

    Manufacturer: Academic Press
    ProductGroup: Book
    Binding: Hardcover

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    1. An Introduction to the History of Mathematics (Saunders Series) An Introduction to the History of Mathematics (Saunders Series)

    ASIN: 0125057601

    Book Description

    This text intends to transform students from passive observers of mathematics to participants in it. The book employs a spiral development of ideas to blend the requirements of problem solving, analytical thinking, computational technique, and applications, and emphasizes the interplay of algebraic and geometric concepts. It includes an extensive number of exercises, ranging from routine to challenging. The Third Edition offers 40 percent new material, including manynew applications. It incorporates MATLAB to demonstrate how computational software tools can be used in this field.

    * Offers a proven, successful approach to Linear Algebra
    * Contains a practical presentation, illuminating examples, and exceptional exercises, thus enabling instructors to emphasize computational techniques, theoretical material, and applications
    * Includes a wide variety of effective applications
    * Provides a student friendly writing style
    * Begins with the familiar and proceeds to the new in a well-motivated manner
    * Acknowledges current reforms and proceeds from there
    * Explains how to solve some examples in MATLAB, demonstrating how such software tools can be used in this field
    * Includes student projects at close of chapter exercise sets

    Customer Reviews:

    3 out of 5 stars NOt for a freshman.......2007-10-20

    I like this book.It has a lot of proofs of theorems and force students to prove some of them.However this book is not good for a freshman , I agree it is a good sourse for a course work but frshmans You need to find something else.

    5 out of 5 stars Excellent text.......1999-10-27

    This is an outstanding, well-written, and interesting text. Highly recommended for university coursework.

    5 out of 5 stars This book is great!.......1999-05-20

    Yaqub's book is the best "first" book for a "first" upper divsion course in linear algebra. It provides a good transition from the freshman calculus to that of more advanced courses. The book is not terse but is verbose and easy to read. Hence, concepts jump off the page at you. This book develops mathematical maturity, which is needed in higher courses.
    Differential Equations & Linear Algebra
    Average customer rating: 3 out of 5 stars
    • Its an Average Book
    Differential Equations & Linear Algebra

    Manufacturer: Prentice Hall
    ProductGroup: Book
    Binding: Hardcover

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    Customer Reviews:

    3 out of 5 stars Its an Average Book.......2005-09-13

    The book is average, but not great. While the explanations are pretty clear, the provided examples are inadequate for getting a good understanding of the topic.

    I would recommend this book as a refresher for those people who already know differential equations and need a refresher. However, this book moves a bit too rapidly for the beginning student.

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