Elementary Differential Equations and Boundary Value Problems, 10th Edition
The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, 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 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. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 10th edition includes new problems, updated figures and examples to help motivate students. The book is written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study.
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Chapter 1 Introduction
Chapter 2 First Order Differential Equations
Chapter 3 Second Order Linear Equations
Chapter 4 Higher Order Linear 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
Chapter10 Partial Differential Equations and Fourier Series
Chapter 11 Boundary Value Problems
- Sections 8.5 and 8.6 have been interchanged, so that the more advanced topics appear at the end of the chapter.
- Derivations and proofs in several chapters have been expanded or rewritten to provide more details.
- The fact that the real and imaginary parts of a complex solution of a real problem are also solutions now appears as a theorem in Sections 3.2 and 7.4.
- The treatment of generalized eigenvectors in Section 7.8 has been expanded both in the text and in the problems.
- There are about twenty new or revised problems scattered throughout the book.
- There are new examples in Sections 2.1, 3.8, and 7.5.
- About a dozen figures have been modified, mainly by using color to make the essential feature of the figure more prominent. In addition, numerous captions have been expanded to clarify the purpose of the figure without requiring a search of the surrounding text.
- There are several new historical footnotes and some others have been expanded.
- 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/DiPrima 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/DiPrima remains unrivaled in quantity, variety, and range providing great flexibility in homework assignments.
- Applied Problems. Many problems ask the student not only to solve a differential equation but also to draw conclusions from the solution, reflecting the usual situation in scientific or engineering applications.
- Historical footnotes. The footnotes allow the student to trace the development of the discipline and identify outstanding individual contributions.