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Elementary Differential Equations and Boundary Value Problems
William E. Boyce, Richard C. DiPrima, Douglas B. Meade
- 640 pages
- English
- PDF
- Available on iOS & Android
Elementary Differential Equations and Boundary Value Problems
William E. Boyce, Richard C. DiPrima, Douglas B. Meade
About This Book
Elementary Differential EquationsandBoundary Value Problems, 12thEdition 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.In this revision, new author Douglas Meade focuses on developing students conceptual understanding with new conceptquestions and worksheetsforeach chapter. MeadebuildsuponBoyce andDiPrima'swork tocombine 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. 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.
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Table of contents
- Cover
- Title Page
- Copyright
- About the Authors
- Preface
- Brief Contents
- Contents
- Chapter 1: Introduction
- Chapter 2: First-Order Differential Equations
- Chapter 3: Second-Order Linear Differential Equations
- Chapter 4: Higher-Order Linear Differential Equations
- Chapter 5: Series Solutions of Second-Order Linear Equations
- Chapter 6: The Laplace Transform
- Chapter 7: Systems of First-Order Linear Equations
- Chapter 8: Numerical Methods
- Chapter 9: Nonlinear Differential Equations and Stability
- Chapter 10: Partial Differential Equations and Fourier Series
- Chapter 11: Boundary Value Problems and Sturm-Liouville Theory
- Answers to Problems
- Index
- EULA