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20140310151444.0 |
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100427s2010 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781441957832 |
|
978-1-4419-5783-2 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA372 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.352 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York, |
-- |
2010. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Kelley, Walter G. |
Relator term |
author. |
245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
The Theory of Differential Equations |
Medium |
[electronic resource] : |
Remainder of title |
Classical and Qualitative / |
Statement of responsibility, etc |
by Walter G. Kelley, Allan C. Peterson. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XI, 423p. 136 illus., 68 illus. in color. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Universitext ; |
Volume number/sequential designation |
0 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Differentiable dynamical systems. |
|
Topical term or geographic name as entry element |
Differential Equations. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Ordinary Differential Equations. |
|
Topical term or geographic name as entry element |
Dynamical Systems and Ergodic Theory. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Peterson, Allan C. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781441957825 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-5783-2 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |