Differential equations and their applications : an introduction to applied mathematics
著者
書誌事項
Differential equations and their applications : an introduction to applied mathematics
（Texts in applied mathematics, 11）
Springer-Verlag, c1993
4th ed
- : us
- : gw
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注記
Includes index
内容説明・目次
- 巻冊次
-
: us ISBN 9780387978949
内容説明
Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book distinguishes itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.
目次
Chapter 1 First-order differential equations * Chapter 2 Second-order linear differential equations * Chapter 3 Systems of differential equations * Chapter 4 Qualitative theory of differential equations * Chapter 5 Separation of variables and Fourier series * Chapter 6 Sturm -Liouville boundary value problems * Appendix A Some simple facts concerning functions of several variables * Appendix B Sequences and series * Appendix C C Programs * Answers to odd-numbered exercises * Index
- 巻冊次
-
: gw ISBN 9783540978947
内容説明
Designed for undergraduate classrooms, this is an introduction to differential equations and their applications. The fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programmes in C, PASCAL and FORTRAN are presented throughout the text to show the reader how to apply differential equations toward quantitative problems.
目次
Chapter 1 First-order differential equations * Chapter 2 Second-order linear differential equations * Chapter 3 Systems of differential equations * Chapter 4 Qualitative theory of differential equations * Chapter 5 Separation of variables and Fourier series * Chapter 6 Sturm -Liouville boundary value problems * Appendix A Some simple facts concerning functions of several variables * Appendix B Sequences and series * Appendix C C Programs * Answers to odd-numbered exercises * Index
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