Differential equations :linear, nonlinear, ordinary, partial
- 作者: King, A. C.
- 其他作者: Billingham, J. , Otto, S. R.
- 出版: Cambridge ;New York : Cambridge University Press 2003.
- 稽核項: 1 online resource (xi, 541 pages) :illustrations.
- 標題: Sistemas dinâmicos. , Differential equations. , Équations différentielles. , Differential EquationsGeneral. , Differentialgleichung , Equações diferenciais ordinárias (análise;textos elementares) , Electronic books. , MATHEMATICS , Equações diferenciais parciais (análise;textos elementares) , Equações diferenciais (análise;textos elementares) , MATHEMATICS Differential Equations -- General.
- ISBN: 0521016878 , 9780521016872
- 試查全文@TNUA:
- 附註: Includes bibliographical references (pages 534-535) and index. Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems.
- 摘要: The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad coverage, and clear and concise presentation will appeal to undergraduates.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=125101
- 系統號: 005314053
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
Finding and interpreting the solutions of differential equations is a central and essential part of applied mathematics. This book aims to enable the reader to develop the required skills needed for a thorough understanding of the subject. The authors focus on the business of constructing solutions analytically, and interpreting their meaning, using rigorous analysis where needed. MATLAB is used extensively to illustrate the material. There are many worked examples based on interesting and unusual real world problems. A large selection of exercises is provided, including several lengthier projects, some of which involve the use of MATLAB. The coverage is broad, ranging from basic second-order ODEs and PDEs, through to techniques for nonlinear differential equations, chaos, asymptotics and control theory. This broad coverage, the authors' clear presentation and the fact that the book has been thoroughly class-tested will increase its attraction to undergraduates at each stage of their studies.
來源: Google Book
來源: Google Book
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