Introduction to partial differential equations
- 作者: Pinchover, Yehuda,
- 其他作者: Rubinstein, Jacob,
- 出版: New York : Cambridge University Press 2005.
- 稽核項: 1 online resource (1 volume).
- 標題: Textbooks. , MATHEMATICS Differential Equations -- Partial. , Differential equations, Partial Textbooks. , Équations aux dérivées partielles. , Lehrbuch. , Differential equations, Partial. , Electronic books. , Differential equations, Partial , Differential EquationsPartial. , Equações diferenciais parciais (textos elementares) , Análise matemática (textos elementares) , MATHEMATICS , Partielle Differentialgleichung
- ISBN: 052161323X , 9780521613231
- ISBN: 0521848865 , 052161323X , 9780521613231 , 9780521848862
- 試查全文@TNUA:
- 附註: Includes bibliographical references and index. Introduction -- First-order equations -- Second-order linear equations -- The 1D wave equation -- Separation of variables -- Sturm-Liouville problem -- Elliptic equations -- Green's function and integral representation -- Equations in high dimensions -- Variational methods -- Numerical methods -- Solutions of odd-numbered problems.
- 摘要: A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics, and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties, and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variable, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=132338
- 系統號: 005317665
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students and extended solution sets are available to lecturers from solutions@cambridge.org.
來源: Google Book
來源: Google Book
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