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Chaos
An Introduction for Applied Mathematicians
Taschenbuch von Mark Mcguinness (u. a.)
Sprache: Englisch

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Beschreibung
This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist¿s pragmatism.
While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix.
Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.
This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist¿s pragmatism.
While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix.
Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.
Über den Autor
Andrew Fowler is a Professor of Applied Mathematics at the Universities of Limerick and Oxford. His principal research interests lie in the applications of mathematics in geoscience.

Mark McGuinness is Professor of Applied Mathematics at Victoria University of Wellington, where he has worked since 1991. He enjoys attending Mathematics-in-Industry Study Groups and working on industrial mathematics problems, as well as modelling geophysical problems using differential equations. He is Chair of ANZIAM and Convenor of the Mathematics in Industry New Zealand Reference Group.

Zusammenfassung

Fills the gap for a concise text at the beginning graduate level

Written by applied mathematicians for applied mathematics students

Takes a holistic approach with deep insights into the subject

Includes supplementary material: [...]

Inhaltsverzeichnis
1 Introduction.- 2 One-Dimensional Maps.- 3 Hopf Bifurcations.- 4 Homoclinic Bifurcations.- 5 Hamiltonian Systems.- 6 Diverse Applications.- Appendix.- References.
Details
Erscheinungsjahr: 2020
Fachbereich: Theoretische Physik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
303 S.
78 s/w Illustr.
55 farbige Illustr.
303 p. 133 illus.
55 illus. in color.
ISBN-13: 9783030325374
ISBN-10: 3030325377
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Mcguinness, Mark
Fowler, Andrew
Auflage: 1st edition 2019
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Mark Mcguinness (u. a.)
Erscheinungsdatum: 07.02.2020
Gewicht: 0,546 kg
Artikel-ID: 117343754
Über den Autor
Andrew Fowler is a Professor of Applied Mathematics at the Universities of Limerick and Oxford. His principal research interests lie in the applications of mathematics in geoscience.

Mark McGuinness is Professor of Applied Mathematics at Victoria University of Wellington, where he has worked since 1991. He enjoys attending Mathematics-in-Industry Study Groups and working on industrial mathematics problems, as well as modelling geophysical problems using differential equations. He is Chair of ANZIAM and Convenor of the Mathematics in Industry New Zealand Reference Group.

Zusammenfassung

Fills the gap for a concise text at the beginning graduate level

Written by applied mathematicians for applied mathematics students

Takes a holistic approach with deep insights into the subject

Includes supplementary material: [...]

Inhaltsverzeichnis
1 Introduction.- 2 One-Dimensional Maps.- 3 Hopf Bifurcations.- 4 Homoclinic Bifurcations.- 5 Hamiltonian Systems.- 6 Diverse Applications.- Appendix.- References.
Details
Erscheinungsjahr: 2020
Fachbereich: Theoretische Physik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
303 S.
78 s/w Illustr.
55 farbige Illustr.
303 p. 133 illus.
55 illus. in color.
ISBN-13: 9783030325374
ISBN-10: 3030325377
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Mcguinness, Mark
Fowler, Andrew
Auflage: 1st edition 2019
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Mark Mcguinness (u. a.)
Erscheinungsdatum: 07.02.2020
Gewicht: 0,546 kg
Artikel-ID: 117343754
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