Boyce's Elementary Differential Equations and Boundary Value Problems. Global Edition

  • ID: 4226284
  • Book
  • Region: Global
  • 624 Pages
  • John Wiley and Sons Ltd
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Boyce′s Elementary Differential Equations and Boundary Value Problems is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications.

This textbook is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.

Table of Contents

  1. Introduction
  2. First–Order Differential Equations
  3. Second–Order Linear Differential Equations
  4. Higher–Order Linear Differential Equations
  5. Series Solutions of Second–Order Linear Equations
  6. The Laplace Transform
  7. Systems of First–Order Linear Equations
  8. Numerical Methods
  9. Nonlinear Differential Equations and Stability
  10. Partial Differential Equations and Fourier Series
  11. Boundary Value Problems and Sturm–Liouville Theory

The Wiley Advantage

  • A flexible approach to content. Self contained chapters allow instructors to customize the selection, order, and depth of chapters.
  • A flexible approach to technology. Boyce/Di Prima is adaptable to courses having various levels of computer involvement, ranging from little or none to intensive. More than 450 problems are marked with a technology icon to indicate those that are considered to be technology intensive
  • Sound and accurate exposition of theory. Special attention is made to methods of solution, analysis, and approximation
  • Outstanding exercise sets. Boyce/Di Prima remains unrivaled in quantity, variety, and range providing great flexibility in homework assignments
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PREFACE vii

1 Introduction 1

2 First–Order Differential Equations 24

3 Second–Order Linear Differential Equations 101

4 Higher–Order Linear Differential Equations 167

5 Series Solutions of Second–Order Linear Equations 187

6 The Laplace Transform 239

7 Systems of First–Order Linear Equations 279

8 Numerical Methods 352

9 Nonlinear Differential Equations and Stability 386

10 Partial Differential Equations and Fourier Series 461

11 Boundary Value Problems and Sturm–Liouville Theory 527

ANSWERS TO PROBLEMS 571

INDEX 602

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William E. Boyce
Richard C. DiPrima
Douglas B. Meade
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