A Textbook on Ordinary Differential Equations / by Shair Ahmad, Antonio Ambrosetti
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2014 |
書誌詳細を非表示
| 書誌ID | OB01028327 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 1 First order linear differential equations -- 2 Theory of first order differential equations -- 3 First order nonlinear differential equations -- 4 Existence and uniqueness for systems and higher order equations -- 5 Second Order Equations -- 6 Higher Order Linear Equations -- 7 Systems of First Order Equations -- 8 Qualitative analysis of 2x2 systems and nonlinear second order equations -- 9 Sturm Liouville eigenvalue theory -- 10 Solutions by infinite series and Bessel functions -- 11 Laplace transform -- 12 Stability Theory -- 13 Boundary Value problems -- Appendix A. Numerical methods -- Answers to Selected Exercises. License restrictions may limit access Summary: The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems. The authors are preparing a complete solutions manual, containing solutions to all the exercises published in the book. The manual will be available Summer 2014. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors |
| 著者標目 | *Ahmad, Shair Ambrosetti, Antonio SpringerLink (Online service) |
| 統一書名標目 | UNITEXT, |
| 件 名 | LCSH:Mathematics LCSH:Global analysis (Mathematics) LCSH:Differential Equations LCSH:Numerical analysis FREE:Mathematics FREE:Ordinary Differential Equations FREE:Analysis FREE:Numerical Analysis FREE:Applications of Mathematics |
| 分 類 | LCC:QA372 DC23:515.352 |
| 巻冊次 | ISBN:9783319021294 RefWorks出力（各巻） print ; ISBN:9783319021287 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