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Ordinary Differential Equations with Applications

Author: 


ISBN-13: 

9780387307695


ISBN: 

0387307699


Edition:  2
Pub Date: 
Publisher:  Springer Verlag
Summary: This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mat...hematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula. The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations. Reviews of the first edition: As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.'' -- F. Verhulst, SIAM Review The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high levelof generality, detail, and rigor.'' -- D. S. Shafer, Mathematical Reviews

Chicone, Carmen is the author of Ordinary Differential Equations with Applications, published 2006 under ISBN 9780387307695 and 0387307699. Six hundred twenty six Ordinary Differential Equations with Applications textbooks are available for sale on ValoreBooks.com, one hundred fifty used from the cheapest price of $74.57, or buy new starting at $52.19.
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Ordinary Differential Equations with Applications

ISBN-13: 9780387307695


ISBN: 0387307699


Edition: 2nd


Pub Date:
Publisher: Springer Verlag
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