# Ordinary Differential Equations with Applications (Texts in Applied Mathematics) by - pdf epub fb2

**Author:**-

**Title:**Ordinary Differential Equations with Applications (Texts in Applied Mathematics)

**ISBN:**1441921516

**ISBN13:**978-1441921512

**Other Formats:**azw mobi txt doc

**Pages:**636 pages

**Publisher:**Springer; Softcover reprint of hardcover 2nd ed. 2006 edition (November 23, 2010)

**Language:**English

**Category:**Science & Math

**Size PDF version:**1578 kb

**Size EPUB version:**1554 kb

**Subcategory:**Mathematics

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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.