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Differential Equations Demystified: A Self-Teachng Guide / Edition 1

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Overview

Here's the perfect self-teaching guide to help anyone master differential equations—a common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more.

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Editorial Reviews

Sci-Tech Book News
Krantz asserts that if calculus is the heart of modern science, differential equations are the guts. Writing for those who already have a basic grasp of calculus, Krantz provides explanations, models, and examples that lead from differential equations to higher math concepts in a self-paced format. He includes chapters on first-order and second-order equations, power series solutions and spatial functions, Fourier series, Laplace transforms, numerical methods, partial equations and boundary value problems. His models come from engineering, physics and other fields in math. He includes solutions to the exercises and a final exam.
Choice
From review by M. Henle, Oberlin College

Differential equations is an important subject that lies at the heart of the calculus. Here one sees how the calculus applies to real-world problems. Differential Equations DeMystified, (to use the spelling on the cover) is ...a serious, straightforward work. In style and substance this book is like standard differential equations books...The emphasis is consistently...on the computations needed to find...solutions to specific equations...

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Product Details

  • ISBN-13: 9780071440257
  • Publisher: McGraw-Hill Professional Publishing
  • Publication date: 8/24/2004
  • Series: Demystified Series
  • Edition number: 1
  • Pages: 323
  • Sales rank: 450,619
  • Product dimensions: 7.40 (w) x 9.30 (h) x 0.60 (d)

Meet the Author

Steven Krantz, Ph.D., is Chairman of the Mathematics Department at Washington University in St. Louis. An award-winning teacher and author, Dr. Krantz has written more than 45 books on mathematics, including Calculus Demystified, another popular title in this series. He lives in St. Louis, Missouri.

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Table of Contents

Ch. 1 What is a differential equation? 1
Ch. 2 Second-order equations 48
Ch. 3 Power series solutions and special functions 92
Ch. 4 Fourier series : basic concepts 115
Ch. 5 Partial differential equations and boundary value problems 141
Ch. 6 Laplace transforms 168
Ch. 7 Numerical methods 198
Ch. 8 Systems of first-order equations 216
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Customer Reviews

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Sort by: Showing all of 5 Customer Reviews
  • Anonymous

    Posted February 23, 2009

    bad book

    I agree with the other reviewer. The examples are very hard to understand, the author skips far too many steps, and the answers are not well explained at all. Not mention there are no answers for the "Now you try it" problems. How am I to know if I did it right?

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted June 25, 2005

    Good explanations poor examples

    You have to follow the author from beginning to end in order to understand the little steps involved, but all in all the explanations are very well written. The examples are inconsistent with variables, and often have integration errors. Also, the real-world examples should be sorted from examples that are meant to teach. I often found myself studying the real-world problems for hours at a time, not understand the ideas behind them, and yet still ace most of the tests. Needless to say, the book would have been great if the authors had double-checked their examples so I would not have to find where THEY went wrong. I would not recommend this book for anyone trying to understand differential equations.

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted September 3, 2010

    No text was provided for this review.

  • Anonymous

    Posted December 12, 2008

    No text was provided for this review.

  • Anonymous

    Posted March 22, 2010

    No text was provided for this review.

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