Principles of Differential Equations.pdf

Principles of Differential Equations

Nelson G. Markley

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.

X Contents 4. Bounds and uniqueness in the initial value problem, 208. 5. Rie-mann's function, 210. 6. Initial-boundary value Problems, 213. 7. Es-timates for series Solutions, 215. Ordinary Di fferential Equation -

9781118031537 ISBN
Englisch SPRACHE
Principles of Differential Equations.pdf


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