Ordinary differential equations, with applications
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Author
Publication
1982 - Scott, Foresman, Glenview, Ill, Illinois
Language
English
Word Count
84,500 words, Guess
Page Count
338 pages
Identifiers
- Internet Archiveordinarydifferen0000andr
- ISBN-100673158004
- ISBN-100673160475
- ISBN-139780673158000
- ISBN-139780673160478
and 3 more
- Goodreads4139972
- Library of Congress Control Number81021271
- Open LibraryOL3781192M
Classifications
- DDC515.3/52
- LCCQA372 .A594 1982
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.
Subjects
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