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Differential Equations : = Linear, N...
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Billingham, J.
Differential Equations : = Linear, Nonlinear, Ordinary, Partial.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Differential Equations :/
其他題名:
Linear, Nonlinear, Ordinary, Partial.
作者:
King, A. C.
其他作者:
Billingham, J.
出版者:
Cambridge :Cambridge University Press, : 2003.,
面頁冊數:
555 p.
標題:
Differential equations. -
電子資源:
Click here to view book
ISBN:
9780511755293 (electronic bk.)
Differential Equations : = Linear, Nonlinear, Ordinary, Partial.
King, A. C.
Differential Equations :
Linear, Nonlinear, Ordinary, Partial.[electronic resource]. - Cambridge :Cambridge University Press,2003. - 555 p.
Cover; Half-title; Title; Copyright; Contents; Preface; CHAPTER ONE Variable Coefficient, Second Order, Linear, Ordinary Differential Equations; CHAPTER TWO Legendre Functions; CHAPTER THREE Bessel Functions; CHAPTER FOUR Boundary Value Problems, Green’s Functions and Sturm–Liouville Theory; CHAPTER FIVE Fourier Series and the Fourier Transform; CHAPTER SIX Laplace Transforms; CHAPTER SEVEN Classification, Properties and Complex Variable Methods for Second Order Partial Differential Equations
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.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511755293 (electronic bk.)Subjects--Topical Terms:
123916
Differential equations.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA371 .K52 2003eb
Dewey Class. No.: 515.35
Differential Equations : = Linear, Nonlinear, Ordinary, Partial.
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Cover; Half-title; Title; Copyright; Contents; Preface; CHAPTER ONE Variable Coefficient, Second Order, Linear, Ordinary Differential Equations; CHAPTER TWO Legendre Functions; CHAPTER THREE Bessel Functions; CHAPTER FOUR Boundary Value Problems, Green’s Functions and Sturm–Liouville Theory; CHAPTER FIVE Fourier Series and the Fourier Transform; CHAPTER SIX Laplace Transforms; CHAPTER SEVEN Classification, Properties and Complex Variable Methods for Second Order Partial Differential Equations
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CHAPTER EIGHT Existence, Uniqueness, Continuity and Comparison of Solutions of Ordinary Differential EquationsCHAPTER NINE Nonlinear Ordinary Differential Equations: Phase Plane Methods; CHAPTER TEN Group Theoretical Methods; CHAPTER ELEVEN Asymptotic Methods: Basic Ideas; CHAPTER TWELVE Asymptotic Methods: Differential Equations; CHAPTER THIRTEEN Stability, Instability and Bifurcations; CHAPTER FOURTEEN Time-Optimal Control in the Phase Plane; CHAPTER FIFTEEN An Introduction to Chaotic Systems; APPENDIX 1 Linear
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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.
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511755293
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