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Differential Equations with Mathematica, Second Edition [Hardcover]

Martha L. Abell (Author), James P. Braselton (Author)
4.0 out of 5 stars  See all reviews (6 customer reviews)


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There is a newer edition of this item:
Differential Equations with Mathematica, Third Edition Differential Equations with Mathematica, Third Edition 4.0 out of 5 stars (6)
Out of Print--Limited Availability

Book Description

March 7, 1997 012041550X 978-0120415502 2
This Second Edition of the groundbreaking Differential Equations with Mathematica integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with Mathematica version 3.0 and is a perfect introduction for Mathematica beginners. The book/CD-ROM package contains built-in commands that lets the user solve problems directly using graphical solutions.

Key Features
* Focuses on the most often used features of Mathematica for the beginning Mathematica user
* CD-ROM contains all Mathematica inputs from the text
* New applications from a variety of fields, including engineering, biology, and physics
* All applications were completed using version 3.0 of Mathematica


Editorial Reviews

Review

Stephen McDowall of Western Washington University says:
" The topics covered are extensive. The order and organization are good, especially in terms of
increasing sophistication of the mathematics involved and in the complexity of the Mathematica
programming necessary"
March 2003
Mark Lusk of The Colorado School of Mines says:
" I am considering the adoption of this book for my graduate class in Simulation and Modeling. I
make very heavy use of Mathematica and have a weekly computer lab. I am tempted to make this
the sole, required text for that course"
March 2003 --This text refers to an out of print or unavailable edition of this title.

Book Description

Integrates new applications from a variety of fields, especially biology, physics, and engineering, and is a perfect introduction for Mathematica beginners. --This text refers to an out of print or unavailable edition of this title.

Product Details

  • Hardcover: 807 pages
  • Publisher: Academic Press; 2 edition (March 7, 1997)
  • Language: English
  • ISBN-10: 012041550X
  • ISBN-13: 978-0120415502
  • Product Dimensions: 9.2 x 7.5 x 2 inches
  • Shipping Weight: 3.2 pounds
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #2,953,728 in Books (See Top 100 in Books)

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Customer Reviews

6 Reviews
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Average Customer Review
4.0 out of 5 stars (6 customer reviews)
 
 
 
 
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8 of 8 people found the following review helpful:
3.0 out of 5 stars Not Good as a Text, July 6, 2006
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If you're taking a course in ODEs and your primary text doesn't have some kind of Mathematica supplement, then this book might help you learn to solve differential equations with Mathematica.

However, this book most emphatically is *NOT* a good place to learn diffy Q's if you're a novice or you don't have some other source of instruction. The author tends to dance around from topic to topic a bit much; she frequently presents the "condensed" version of definitions or proofs; and she has a tendency to drop very advanced notions (e.g. nonlinear equations) into the middle of simple discussions without warning. Much of the time, she seems to be assuming that her audience already knows the subject matter, so she can just give a quick sketch of some topic.

This book really doesn't provide enough value to justify its high price.
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7 of 8 people found the following review helpful:
5.0 out of 5 stars A very useful book, April 22, 2003
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This review is from: Differential Equations with Mathematica, Second Edition (Hardcover)
Abell and Braselton strike a nice balance between the analytical solution of differential equations by hand, and numerical solution by computer. Mathematica is used to simplify some of the details, but they teach how to do everything by hand, including programming runge-kutta solution methods, fourier series, and other topics that lazier authors might have skipped over.

Every chapter starts with basic definitions and builds to useful solution techniques. The book is packed with fully worked examples. My edition is a few years old and talks about the "newly released" Mathematica 3.0, but everything applies just as well to version 4.2.

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4 of 4 people found the following review helpful:
3.0 out of 5 stars barely adequate as introduction, November 5, 2004
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I am using this book to brush up on the subject. In Chap 2, for instance, I have found a couple of places were the examples using Mathematica and those worked out on paper do not follow each other. Errors generated are shown for some Mathematica examples but not others.

Heavily dependent on using Mathematica to do the legwork, coverage of the basics is sparse.

Not a book for people just starting out learning Differential Equations. I would have rated this book lower if I was depending on it as a textbook or tutorial.
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Inside This Book (learn more)
First Sentence:
"The purpose of Differential Equations with Mathematica, Second Edition, is twofold." Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generates several error messages, functions toplot, several level curves, eigenvector that corresponds, kth partial sum, animate the result, second linearly independent solution, resulting graphics, solution for various values, cell bracket, corresponding homogeneous equation, nonhomogeneous equation, indicial equation, irregular singular point, nonhomogeneous system, nonconstant coefficients, help browser, resulting animation, power series solution, loading packages, orthogonal trajectories, differential equation yields, stable spiral, many physical situations, using increments
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Principle of Superposition, United States, Help Browser, Built-in Functions, Other Resources, The Mathematica Book, Basic Algebra, Newton's Law of Cooling, Algebraic Computation, E-t Sin, Log Cos, Marie Curie, Theory of First-Order Equations
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