The Theory of Differential Equations : Classical and Qualitative / by Walter G. Kelley, Allan C. Peterson
(Universitext ; 0)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 2010 |
| 本文言語 | 英語 |
| 大きさ | XI, 423 p. 68 illus : online resource |
書誌詳細を非表示
| 内容注記 | First-Order Differential Equations Linear Systems Autonomous Systems Perturbation Methods The Self-Adjoint Second-Order Differential Equation Linear Differential Equations of Order n BVPs for Nonlinear Second-Order DEs Existence and Uniqueness Theorems |
|---|---|
| 一般注記 | For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as a chapter on perturbation methods and a section in Chapter 3 that shows how to solve differential equations using Mathematica codes. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0, and all Mathematica codes are in the book itself. This new edition also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many further enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters |
| 著者標目 | *Kelley, Walter G. author Peterson, Allan C. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Dynamics LCSH:Ergodic theory LCSH:Differential equations FREE:Mathematics FREE:Analysis FREE:Ordinary Differential Equations FREE:Dynamical Systems and Ergodic Theory |
| 分 類 | DC23:515 |
| 巻冊次 | ISBN:9781441957832 
|
| ISBN | 9781441957832 |
| URL | http://dx.doi.org/10.1007/978-1-4419-5783-2 |
目次／あらすじ