Differential equations, dynamical systems, and an introduction to chaos /:
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for...
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Weitere Verfasser: | , |
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Amsterdam ; Boston :
Elsevier/Academic Press,
©2004.
|
Ausgabe: | 2nd ed. |
Schriftenreihe: | Pure and applied mathematics (Academic Press) ;
60. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of. |
Beschreibung: | Revised edition of: Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale. 1974. |
Beschreibung: | 1 online resource (xiv, 417 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 407-409) and index. |
ISBN: | 9780080491141 0080491146 |
Internformat
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504 | |a Includes bibliographical references (pages 407-409) and index. | ||
505 | 0 | |a First Order Equations -- Planar Linear Systems -- Phase Portraits -- Classification of Planar Systems -- Higher Dimensional Linear Algebra -- Higher Dimensional Linear Systems -- Fundamental Theory -- Equilibria in Nonlinear Systems -- Nonlinear Techniques -- Closed Orbits and Limit Sets -- Applications in Biology -- Applications in Circuit Theory --. Applications in Mechanics -- The Lorenz System -- Applications in Other Fields -- Homoclinic Phenomana -- Discrete Dynamical Systems -- Higher Dimensional Discrete Systems. | |
588 | 0 | |a Print version record. | |
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author | Hirsch, Morris W., 1933- |
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contents | First Order Equations -- Planar Linear Systems -- Phase Portraits -- Classification of Planar Systems -- Higher Dimensional Linear Algebra -- Higher Dimensional Linear Systems -- Fundamental Theory -- Equilibria in Nonlinear Systems -- Nonlinear Techniques -- Closed Orbits and Limit Sets -- Applications in Biology -- Applications in Circuit Theory --. Applications in Mechanics -- The Lorenz System -- Applications in Other Fields -- Homoclinic Phenomana -- Discrete Dynamical Systems -- Higher Dimensional Discrete Systems. |
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discipline | Mathematik |
edition | 2nd ed. |
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indexdate | 2024-11-27T13:16:05Z |
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spelling | Hirsch, Morris W., 1933- https://id.oclc.org/worldcat/entity/E39PBJt3WKdtRC6pp8XvTfPqQq http://id.loc.gov/authorities/names/n50035254 Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney. 2nd ed. Amsterdam ; Boston : Elsevier/Academic Press, ©2004. 1 online resource (xiv, 417 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Pure and applied mathematics; a series of monographs and textbooks ; v. 60 Revised edition of: Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale. 1974. Includes bibliographical references (pages 407-409) and index. First Order Equations -- Planar Linear Systems -- Phase Portraits -- Classification of Planar Systems -- Higher Dimensional Linear Algebra -- Higher Dimensional Linear Systems -- Fundamental Theory -- Equilibria in Nonlinear Systems -- Nonlinear Techniques -- Closed Orbits and Limit Sets -- Applications in Biology -- Applications in Circuit Theory --. Applications in Mechanics -- The Lorenz System -- Applications in Other Fields -- Homoclinic Phenomana -- Discrete Dynamical Systems -- Higher Dimensional Discrete Systems. Print version record. Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of. Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Algebras, Linear. http://id.loc.gov/authorities/subjects/sh85003441 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Équations différentielles. Algèbre linéaire. Chaos. MATHEMATICS Differential Equations General. bisacsh Algebras, Linear fast Chaotic behavior in systems fast Differential equations fast Differentiaalvergelijkingen. gtt Dynamische systemen. gtt Chaos. gtt Sistemas dinâmicos. larpcal Equações diferenciais ordinárias (textos avançados) larpcal Análise matemática. larpcal Smale, Stephen, 1930- https://id.oclc.org/worldcat/entity/E39PBJwHjYdDmhWDG6KKX8cF8C http://id.loc.gov/authorities/names/n80102173 Devaney, Robert L., 1948- https://id.oclc.org/worldcat/entity/E39PBJxcTYyfMD7MBgB8RFKPQq http://id.loc.gov/authorities/names/n81075442 Hirsch, Morris W., 1933- Differential equations, dynamical systems, and linear algebra. Print version: Hirsch, Morris W., 1933- Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. San Diego, CA : Academic Press, ©2004 0123497035 (DLC) 2003058255 (OCoLC)52631423 Pure and applied mathematics (Academic Press) ; 60. http://id.loc.gov/authorities/names/n42702374 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=194995 Volltext |
spellingShingle | Hirsch, Morris W., 1933- Differential equations, dynamical systems, and an introduction to chaos / Pure and applied mathematics (Academic Press) ; First Order Equations -- Planar Linear Systems -- Phase Portraits -- Classification of Planar Systems -- Higher Dimensional Linear Algebra -- Higher Dimensional Linear Systems -- Fundamental Theory -- Equilibria in Nonlinear Systems -- Nonlinear Techniques -- Closed Orbits and Limit Sets -- Applications in Biology -- Applications in Circuit Theory --. Applications in Mechanics -- The Lorenz System -- Applications in Other Fields -- Homoclinic Phenomana -- Discrete Dynamical Systems -- Higher Dimensional Discrete Systems. Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Algebras, Linear. http://id.loc.gov/authorities/subjects/sh85003441 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Équations différentielles. Algèbre linéaire. Chaos. MATHEMATICS Differential Equations General. bisacsh Algebras, Linear fast Chaotic behavior in systems fast Differential equations fast Differentiaalvergelijkingen. gtt Dynamische systemen. gtt Chaos. gtt Sistemas dinâmicos. larpcal Equações diferenciais ordinárias (textos avançados) larpcal Análise matemática. larpcal |
subject_GND | http://id.loc.gov/authorities/subjects/sh85037890 http://id.loc.gov/authorities/subjects/sh85003441 http://id.loc.gov/authorities/subjects/sh85022562 |
title | Differential equations, dynamical systems, and an introduction to chaos / |
title_alt | Differential equations, dynamical systems, and linear algebra. |
title_auth | Differential equations, dynamical systems, and an introduction to chaos / |
title_exact_search | Differential equations, dynamical systems, and an introduction to chaos / |
title_full | Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney. |
title_fullStr | Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney. |
title_full_unstemmed | Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney. |
title_short | Differential equations, dynamical systems, and an introduction to chaos / |
title_sort | differential equations dynamical systems and an introduction to chaos |
topic | Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Algebras, Linear. http://id.loc.gov/authorities/subjects/sh85003441 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Équations différentielles. Algèbre linéaire. Chaos. MATHEMATICS Differential Equations General. bisacsh Algebras, Linear fast Chaotic behavior in systems fast Differential equations fast Differentiaalvergelijkingen. gtt Dynamische systemen. gtt Chaos. gtt Sistemas dinâmicos. larpcal Equações diferenciais ordinárias (textos avançados) larpcal Análise matemática. larpcal |
topic_facet | Differential equations. Algebras, Linear. Chaotic behavior in systems. Équations différentielles. Algèbre linéaire. Chaos. MATHEMATICS Differential Equations General. Algebras, Linear Chaotic behavior in systems Differential equations Differentiaalvergelijkingen. Dynamische systemen. Sistemas dinâmicos. Equações diferenciais ordinárias (textos avançados) Análise matemática. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=194995 |
work_keys_str_mv | AT hirschmorrisw differentialequationsdynamicalsystemsandanintroductiontochaos AT smalestephen differentialequationsdynamicalsystemsandanintroductiontochaos AT devaneyrobertl differentialequationsdynamicalsystemsandanintroductiontochaos |