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Field name	Details
Dewey Class	515.352
Title	The Theory of Differential Equations ([Ebook]) : Classical and Qualitative / by Walter G. Kelley, Allan C. Peterson.
Author	Kelley, Walter G.
Added Personal Name	Peterson, Allan C.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2010.
Physical Details	XI, 423 pages, 136 illus., 68 illus. in color. : online resource.
Series	Universitext ; 0
ISBN	9781441957832
Summary Note	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.:
Contents note	- Preface -- 1 First-Order Differential Equations -- 2 Linear Systems -- 3 Autonomous Systems -- 4 Perturbation Methods -- 5 The Self-Adjoint Second-Order Differential Equation -- 6 Linear Differential Equations of Order n -- 7 BVPs for Nonlinear Second-Order DEs -- 8 Existence and Uniqueness Theorems -- Solutions to Selected Problems -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-5783-2
Links to Related Works	Subject References: Differentiable dynamical systems . Differential equation . Dynamical systems and ergodic theory . Mathematics . Ordinary differential equations . Authors: author . Kelley, Walter G. . Peterson, Allan C. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.352 . 515.352 (DDC 23) .

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The Theory of Differential Equations: Classical and Qualitative

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