Differential Equations, Dynamical Systems, and an Introduction to Chaos by Morris W Hirsch

Differential Equations, Dynamical Systems, and an Introduction to Chaos by Morris W Hirsch

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems. The original text by three of the world's leading mathematicians has become the standard textbook for graduate courses in this area. Thirty years in the making, this Second Edition brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The book explores the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It presents the simplification of many theorem hypotheses and includes bifurcation theory throughout. It contains many new figures and illustrations; a simplified treatment of linear algebra; detailed discussions of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor; and increased coverage of discrete dynamical systems. This book will be particularly useful to advanced students and practitioners in higher mathematics.

"The exposition is excellentI particularly liked how the proofs are fairly easy to follow... There are several instances where 'What if...?' questions come up naturally and the authors explore these as though they were reading your mind." --Gareth Roberts, Holy Cross "This text contains exactly what a student entering graduate school in Dynamical Systems needs to know; it is Dynamical Systems from three mathematicians who are not only among the world's most prominent experts in dynamical systems, but who are also among the world's best mathematical expositors. The book contains the benchmark models of chaos to which much of current research is compared" --Bruce Peckham, University of Minnesota "The presentation is very clear and often supported by carefully selected key-examples. The book meets very high pedagogical standards and certainly is a worthy successor of the original version." --R. Steinbauer, Wien, in MONATSHEFTE FUR MATHEMATIC, VOL 147

Morris W. Hirsch works at the University of Wisconsin, Madison, USA. Stephen Smale works in the Department of Mathematics at University of California, Berkeley, USA. Robert L. Devaney works in the Department of Mathematics at Boston University, MA, USA.

SKU	Unavailable
ISBN 13	9780123497031
ISBN 10	0123497035
Title	Differential Equations, Dynamical Systems, and an Introduction to Chaos
Author	Morris W Hirsch
Condition	Unavailable
Publisher	Elsevier Science Publishing Co Inc
Year published	2003-12-06
Number of pages	432
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable