ENGLISH

Principles of Differential Equations

By Nelson G. Markley

Book information

Publisher
Wiley-Interscience
Year
2004
ISBN
0471649562, 9780471649564
DOI
10.1002/9781118033289
LCC
QA371.M27 2004
Google Books ID
yYwOoUdbRdkC
Language
english
Format
PDF
Filesize
14 MB (15047924 bytes)
Series
Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs, and Tracts
Pages
352\352
Orientation
yes
Scanned
portrait
Time added
2016-09-30 11:34:35

Description

An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems. Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include: Basic dynamical systems concepts Constant coefficients Stability The Poincaré return map Smooth vector fields As a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students.

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