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A textbook on ordinary differential equations / Shair Ahmad, Antonio Ambrosetti

データ種別 電子書籍
版 Second edition.
出版者 Cham ; New York : Springer
出版年 [2015]

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URL オンライン

EB2045332


書誌詳細を非表示

書誌ID OB01016934
本文言語 英語
一般注記 Includes bibliographical references and index
First order linear differential equations -- Theory of first order differential equations -- First order nonlinear differential equations -- Existence and uniqueness for systems and higher order equations -- Second order equations -- Higher order linear equations -- Systems of first order equations -- Qualitative analysis of 2x2 systems and nonlinear second order equations -- Sturm Liouville eigenvalue theory -- Solutions by infinite series and Bessel functions -- Laplace transform -- Stability theory -- Boundary value problems -- Appendix A. Numerical methods -- Answers to selected exercises.
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Summary: This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. -- Source other than Library of Congress
著者標目 *Ahmad, Shair
Ambrosetti, A (Antonio)
統一書名標目 Unitext ;
件　名 LCSH:Differential equations -- Numerical solutions  全ての件名で検索
LCSH:Differential equations -- Problems, exercises, etc  全ての件名で検索
LCSH:Differential equations, Linear
LCSH:Differential equations, Linear -- Numerical solutions  全ての件名で検索
FREE:Differential equations
FREE:Differential equations, Linear
FREE:Differential equations, Linear -- Numerical solutions  全ての件名で検索
FREE:Differential equations -- Numerical solutions  全ての件名で検索
分　類 LCC:QA372
DC23:515.4
DC23:518/.63
巻冊次 pbk. : alk. paper ; ISBN:9783319164076 RefWorks出力（各巻）
pbk. : alk. paper ; ISBN:3319164074 RefWorks出力（各巻）
ebook ; ISBN:9783319164083 RefWorks出力（各巻）
ebook ; ISBN:3319164082 RefWorks出力（各巻）
資料種別 機械可読データファイル
目次・あらすじ

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