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

by Steven G. Krantz

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.

Product Details

ISBN-13:	9780071440257
Publisher:	McGraw Hill LLC
Publication date:	08/24/2004
Series:	Demystified
Pages:	323
Product dimensions:	7.30(w) x 9.10(h) x 0.85(d)

About 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.

Table of Contents

Preface

Chapter 1: What Is a Differential Equation?

Chapter 2: Second-Order Equations

Chapter 3: Power Series Solutions and Special Functions

Chapter 4: Fourier Series: Basic Concepts

Chapter 5: Partial Differential Equations and Boundary Value Problems

Chapter 6: Laplace Transforms

Chapter 7: Numerical Methods

Chapter 8: Systems of First-Order Equations
Final Exam
Solutions to Exercises
Bibliography
Index

Editorial Reviews

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...

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.

From the Publisher

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...

Choice

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.

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