ENGLISH

Ordinary Differential Equations with Applications

By Carmen Chicone (auth.)

Book information

Publisher
Springer New York
Year
1999
ISBN
0387307699, 9780387307695, 0387226230
DOI
10.1007/b97645
Open Library ID
OL7445297M
Language
english
Format
DJVU
Filesize
5 MB (4995037 bytes)
Series
Texts in Applied Mathematics 34
Edition
2nd
Pages
657\657
DPI
300
Time added
2011-06-04 13:46:07
Analysis

Description

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

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