Elementary Differential Equations with Boundary Value Problems 2/e (絕)
- 20本以上，享 8.5折
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- 一般書籍
- ISBN：9780321314857
- 作者：Werner E. Kohler, Lee W. Johnson
- 版次：2
- 年份：2006
- 出版商：Pearson Education
- 頁數/規格：802頁/平裝雙色
書籍介紹
本書特色
目錄
Description
Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors.
Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors.
Features
New to This Edition
- Emphasis on linear equations. Linear and nonlinear equations (first order and higher order) are treated in separate chapters.
- Mathematical modeling. Most students studying differential equations are preparing for careers in the physical or life sciences. In developing models, this text guides the student carefully through the underlying physical principles leading to the relevant mathematics.
- Critical thinking. Emphasis on the importance of common sense, intuition, and “back-of-the-envelope” checks to help the student ask: “Does my answer make sense?”
- Interpretation of results. Many of the examples and exercises ask the student to anticipate and interpret the physical content of the solution.
- Reference in later courses. Provides students in science and engineering with a useful reference for their later coursework.
- Interactive Differential Equations CD. A special version of this visualization software is included FREE with every book. It is mapped specifically to the organization of this text.
New to This Edition
- First order differential equations (linear and nonlinear) are now discussed in a single chapter, Chapter 2.
- Second order and higher order linear equations are discussed in one chapter, Chapter 3.
- The introductory discussion for linear systems (Chapter 4) has been streamlined to reach the computational aspects of the theory as quickly as possible.
- Chapter 11 has been shortened to focus solely on linear two-point boundary value problems.
- New exercises have been added to increase problem variety.
- A section of short projects has been added to the end of each chapter to expand students' mathematical horizons.
- A review of core material appears at the ends of Chapters 2, 3, and 4, and requires students to apply solution techniques developed in the chapter.
Table of Contents
1. Introduction to Differential Equations
2. First Order Differential Equations
3. Second and Higher Order Linear Differential Equations
4. First Order Linear Systems
5. Laplace Transforms
6. Nonlinear Systems
7. Numerical Methods
8. Series Solution of Differential Equations
9. Second Order Partial Differential Equations and Fourier Series
10. First Order Partial Differential Equations and the Method of Characteristics
11. Linear Two-Point Boundary Value Problems
1. Introduction to Differential Equations
2. First Order Differential Equations
3. Second and Higher Order Linear Differential Equations
4. First Order Linear Systems
5. Laplace Transforms
6. Nonlinear Systems
7. Numerical Methods
8. Series Solution of Differential Equations
9. Second Order Partial Differential Equations and Fourier Series
10. First Order Partial Differential Equations and the Method of Characteristics
11. Linear Two-Point Boundary Value Problems
