An introduction to differential equations and their applications
著者
書誌事項
An introduction to differential equations and their applications
（International series in pure and applied mathematics）
McGraw-Hill, 1994
International ed.
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内容説明・目次
内容説明
This text is intended for a one-term course in introductory differential equations and is designed for students in pure and applied mathematics who have had a course in calculus. The text presents a balance of mathematical rigour and intuitive thinking. The illustrations aim to enhance the conceptual material and allow students to visualize the mathematics. The treatment of chaotic dynamical systems introduces students to the basic ideas surrounding chaotic motion. Problem sets, which contain computer applications, are carefully graduated from the routine to the more challenging and extension exercises asking students to expand on the material are included to pique student interest. Brief historical notes place topics in their proper historical and cultural context.
目次
- Introduction to Differential Equations
- First Order
- Differential Equations
- Second 0rder Differential Equations
- Series Solutions
- The Laplace Transform
- Systems of Differential Equations
- Difference Equations
- Nonlinear Differential Equations and Chaos
- Partial Differential Equations
- Appendix: Complex Numbers and Complex-Valued Functions
- Answers to Problems
- Index.
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