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Differential Equations :[electronic ...
~
Billingham, J.
Differential Equations :[electronic resource].Linear, Nonlinear, Ordinary, Partial.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
515.35
書名/作者:
Differential Equations : : 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.
ISBN:
9780511755293 (electronic bk.)
ISBN:
9780521816588 (print)
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
摘要、提要註:
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:
Click here to view book
Differential Equations :[electronic resource].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:
189741
Differential equations.
Index Terms--Genre/Form:
336502
Electronic books.
LC Class. No.: QA371 .K52 2003eb
Dewey Class. No.: 515.35
Differential Equations :[electronic resource].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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