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Differential Equations : = Linear, N...

King, A. C.

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Differential Equations : = Linear, Nonlinear, Ordinary, Partial.

紀錄類型:	書目-電子資源 : Monograph/item
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.
內容註:	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
內容註:	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
標題:	Differential equations. -
電子資源:	http://dx.doi.org/10.1017/CBO9780511755293Click 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:

517952
Differential equations.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA371 .K52 2003eb

Dewey Class. No.: 515.35

Differential Equations : = Linear, Nonlinear, Ordinary, Partial.
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505 0 $a 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
505 8 $a 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
520 $a 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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538 $a Mode of access: World Wide Web.
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