Markley Principles of Differential Equations

1. Auflage 2011
ISBN: 978-1-118-03153-7
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 352 Seiten, E-Book

Reihe: Wiley Series in Pure and Applied Mathematics

An accessible, practical introduction to the principles ofdifferential equations
The field of differential equations is a keystone of scientificknowledge today, with broad applications in mathematics,engineering, physics, and other scientific fields. Encompassingboth basic concepts and advanced results, Principles ofDifferential Equations is the definitive, hands-on introductionprofessionals and students need in order to gain a strong knowledgebase applicable to the many different subfields of differentialequations and dynamical systems.
Nelson Markley includes essential background from analysis andlinear algebra, in a unified approach to ordinary differentialequations that underscores how key theoretical ingredientsinterconnect. Opening with basic existence and uniqueness results,Principles of Differential Equations systematically illuminates thetheory, progressing through linear systems to stable manifolds andbifurcation 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 than200 exercises, Principles of Differential Equations is the idealself-study reference for professionals, and an effectiveintroduction and tutorial for students.

Autoren/Hrsg.

Markley, Nelson G.

Inhaltsverzeichnis

Preface.
1. Fundamental Theorems.
2. Classical Themes.
3. Linear Differential Equations.
4. Constant Coefficients.
5. Stability.
6. The Poincare Return Map.
7. Smooth Vector Fields.
8. Hyperbolic Phenomenon.
9. Bifurcations.
Bibliography.
Index.

Über Autor(innen)

NELSON G. MARKLEY, PhD, was a faculty member in the Mathematics Department at the University of Maryland before moving to Lehigh University where he served as Provost and then Senior Vice President. He has published numerous research papers including recent work in the Journal of Differential Equations, and is the author of an elementary text on probability used by thousands of university students over some twenty years. He received his doctoral degree from Yale University.