Differential Equations: Theory, Technique, and Practice

✍ Scribed by George Simmons, Steven Krantz

Publisher: McGraw-Hill Science/Engineering/Math
Year: 2006
Tongue: English
Leaves: 547
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world’s leading authorities on differential equations, Simmons/Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style. Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers.

This text is part of the Walter Rudin Student Series in Advanced Mathematics.

✦ Table of Contents

Copyright
Contents
Acknowledgements
CHAPTER 1 WHAT IS A DIFFERENTIAL EQUATION?
CHAPTER 2 SECOND-ORDER LINEAR EQUATIONS
CHAPTER 3 QUALITATIVE PROPERTIES AND·THEORETICAL ASPECTS
CHAPTER 4 POWER SERIES SOLUTIONS ANDSPECIAL FUNCTIONS
CHAPTER 5 FOURIER SERIES: BASIC CONCEPTS
CHAPTER 6 PARTIAL DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS
CHAPTER 7 LAPLACE TRANSFORMS
CHAPTER 8 THE CALCULUS OF VARIATIONS
CHAPTER 9 NUMERICAL METHODS
CHAPTER 10 SYSTEMS OF FIRST-ORDER EQUATIONS
CHAPTER 11 THE NONLINEAR THEORY
CHAPTER 12 DYNAMICAL SYSTEMS
BIBLIOGRAPHY
ANSWERS TO ODD-NUMBERED EXERCISES
INDEX

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