Differential Equations For Mathematics, Science And Engineering(絕)
- 20本以上，享 8.5折
售價
$
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- 一般書籍
- ISBN：9780132112932
- 作者：Paul W. Davis
- 版次：1
- 年份：1992
- 出版商：Pearson Education
- 頁數/規格：565頁/平裝單色
書籍介紹
本書特色
目錄
作者介紹
Description
Created to help those studying science and engineering learn to use mathematics to think critically about physical problems, this “intellectual” text combines the ideas and techniques of differential equations with the process of modern applied mathematics — modeling, analysis, and interpretation.
Created to help those studying science and engineering learn to use mathematics to think critically about physical problems, this “intellectual” text combines the ideas and techniques of differential equations with the process of modern applied mathematics — modeling, analysis, and interpretation.
Features
- covers most of the usual analytic and numerical solution techniques for differential equations, and shows how to use them in real-life professional situations.
- emphasizes process rather than formulas in solution methods.
- features the analysis and understanding of important problems rather than mastery of a litany of tricks.
- integrates the derivation and analysis of physical models with the study of differential equations.
- repeatedly highlights the model-analyze-interpret cycle for the derivation of models.
- stresses the qualitative behavior of solutions as an important aspect of understanding the behavior of mathematical models.
- uses marginal notes to point out critical steps and repeated patterns, and it summarizes steps in solution processes explicitly.
- provides exercises and examples that involve a variety of problems in engineering and science.
Table of Contents
1. Prologue.
2. First Order Models.
3. First Order Solution Methods.
4. First Order Qualitative Behavior.
5. Oscillatory Phenomena.
6. Higher Order Solution Methods I.
7. Higher Order Qualitative Behavior.
8. Systems of Equations.
9. Boundary Value Problems.
10. Higher Order Solution Methods II.
11. The Laplace Transform.
Appendix 1. Derivatives.
Appendix 2. Taylor's Theorem.
Appendix 3. Antiderivatives.
Appendix 4. Coamer's Rule.
Appendix 5. Matrix Review.
Appendix 6. Partial Fractions.
Appendix Exercises.
Answers to Selected Exercises.
Bibliography.
Index.
1. Prologue.
2. First Order Models.
3. First Order Solution Methods.
4. First Order Qualitative Behavior.
5. Oscillatory Phenomena.
6. Higher Order Solution Methods I.
7. Higher Order Qualitative Behavior.
8. Systems of Equations.
9. Boundary Value Problems.
10. Higher Order Solution Methods II.
11. The Laplace Transform.
Appendix 1. Derivatives.
Appendix 2. Taylor's Theorem.
Appendix 3. Antiderivatives.
Appendix 4. Coamer's Rule.
Appendix 5. Matrix Review.
Appendix 6. Partial Fractions.
Appendix Exercises.
Answers to Selected Exercises.
Bibliography.
Index.
Paul W. Davis,Worcester Polytechnic Institute
