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, c1994
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注記
Includes index
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 strives to present a balance of mathematical rigor and intuitive thinking; and ideas and concepts are developed thoroughly in a clear and informal style. An extensive illustration program enhances the conceptual material and allows the students to visualize the mathematics. An optional treatment of chaotic dynamical systems introduces the student to the basic ideas surrounding chaotic motion. Special features include excellent problem sets which contain computer applications, brief historical notes, and exercises that require the student to learn through writing.
目次
CHAPTER 1: Introduction to Differential Equations. CHAPTER 2: First Order Differential Equations. CHAPTER 3: Second Order Linear Equations. CHAPTER 4: Series Solutions. CHAPTER 5: The Laplace Transform. CHAPTER 6: Systems of Differential Equations. CHAPTER 7: Difference Equations. CHAPTER 8: Nonlinear Differential Equations and Chaos. CHAPTER 9: Partial Differential Equations. Appendix: Complex Numbers and Complex-Valued Functions. Answers to Problems. Index.
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