Differential equations, dynamical systems, and an introduction to chaos
General Material Designation
[Book]
EDITION STATEMENT
Edition Statement
3rd ed. /
Statement of Responsibility Relating to Edition
Morris W. Hirsch, Stephen Smale, Robert L. Devaney
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Waltham, MA :
Name of Publisher, Distributor, etc.
Academic Press,
Date of Publication, Distribution, etc.
c2013
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 418 p. :
Other Physical Details
ill. ;
Dimensions
24 cm
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 411-413) and index
SUMMARY OR ABSTRACT
Text of Note
Differential Equations, Dynamical Systems, arid an Introduction to Chaos, now in its third edition, covers the dynamical aspects of ordinary differential equations. It explores the relations between dynamical systems and certain fields outside pure mathematics, and continues to be the standard textbook for advanced undergraduate and graduate courses in this area
Text of Note
Developed by three of the world's leading mathematicians, including Steven Smale, a recipient of the Field's Medal for his work in dynamical systems
Text of Note
Includes discrete dynamics, various introductions to chaos, background material on linear algebra, and bifurcation theory throughout
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Key Features
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Major revisions of the Lorenz section proofs and the stable. curve theorem
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New Explorations including: introducing chaos via numerical methods, regarding the SIRS model and zombies, and concerning the flight of gliders
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New to Third Edition
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Simplifications and new updates throughout the text Book jacket
Text of Note
Written for students with a background in calculus and elementary linear algebra, the text is rigorous yet accessible and contains examples and explorations to reinforce learning