The Theory of Differential Equations

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Elegant and carefully written, with many examples and exercises throughout the book

Contains up-to-date material as well as classical topics

Includes topics not normally discussed in most books in the subject area, such as perturbation methods and differential equations in Mathematica

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2010
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xi 423 S. 68 s/w Illustr. 423 p. 68 illus.
ISBN-13:	9781441957825
ISBN-10:	1441957820
Sprache:	Englisch
Herstellernummer:	12728800
Einband:	Kartoniert / Broschiert
Autor:	Kelley, Walter G Peterson, Allan C
Auflage:	2nd 2010 edition
Hersteller:	Springer New York Springer US, New York, N.Y.
Maße:	236 x 155 x 28 mm
Von/Mit:	Walter G Kelley (u. a.)
Erscheinungsdatum:	22.04.2010
Gewicht:	0,621 kg