Differentialgleichungen Dynamische Systeme & Einführung in das Chaos 2004 Hirsch LN!
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eBay-Artikelnr.:306473575868
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- Neuwertig
- Hinweise des Verkäufers
- “In like new condition with no signs of being used. Clean with no noticed damage.”
- Series
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- Personalized
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- Educational Level
- Adult & Further Education
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- Level
- Advanced
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- United States
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- ISBN
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Über dieses Produkt
Product Identifiers
Publisher
Elsevier Science & Technology
ISBN-10
0123497035
ISBN-13
9780123497031
eBay Product ID (ePID)
2548003
Product Key Features
Number of Pages
425 Pages
Publication Name
Differential Equations, Dynamical Systems, and an Introduction to Chaos
Language
English
Publication Year
2003
Subject
Algebra / Linear, Differential Equations / General, Chaotic Behavior in Systems, General, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics, Science
Format
Hardcover
Dimensions
Item Length
9 in
Item Width
6 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
2003-058255
Reviews
"The exposition is excellent. I 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, "The exposition is excellent. I 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, "The exposition is excellent. I particularly liked how the proofs are fairly easy to follow...a readable and informative text." - Gareth Roberts, Holy Cross "..from three mathematicians who are...among the world's most prominent experts in dynamical systems...[and] the world's best mathematical expositors." - Bruce Peckham, University of Minnesota " (...) a standard on mathematical bookshelves (...). Readers familiar with the first edition will find much that is familiar, but with an increased emphasis on the behaviour of families of solutions". Annalisa Cranell, MAA Online, Feb 2005
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515.35
Table Of Content
First Order Equations Planar Linear Systems Phase Portraits for Planar Systems Classification of Planar Systems Higher Dimensional Linear Algebra Higher Dimensional Linear Systems Nonlinear Systems Equilibria in Nonlinear Systems Global Nonlinear Techniques Closed Orbits and Limit Sets Applications in Biology Applications in Circuit Theory Applications in Mechanics The Lorenz System Discrete Dynamical Systems Homoclinic Phenomena Existence and Uniqueness Revisited
Edition Description
Revised edition
Synopsis
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., 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. Developed by award-winning researchers and authors Provides a rigorous yet accessible introduction to differential equations and dynamical systems Includes bifurcation theory throughout Contains numerous explorations for students to embark upon NEW IN THIS EDITION New contemporary material and updated applications Revisions throughout the text, including simplification of many theorem hypotheses Many new figures and illustrations Simplified treatment of linear algebra Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor Increased coverage of discrete dynamical systems
LC Classification Number
QA372.H67 2003
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