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Chaosan introduction for applied mat...

Fowler, Andrew.

Chaosan introduction for applied mathematicians /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Chaosby Andrew Fowler, Mark McGuinness.
其他題名:	an introduction for applied mathematicians /
作者:	Fowler, Andrew.
其他作者:	McGuinness, Mark.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xiv, 303 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Chaotic behavior in systems.
電子資源:	https://doi.org/10.1007/978-3-030-32538-1
ISBN:	9783030325381$q(electronic bk.)

Chaosan introduction for applied mathematicians /
Fowler, Andrew.

Chaosan introduction for applied mathematicians /[electronic resource] :by Andrew Fowler, Mark McGuinness. - Cham :Springer International Publishing :2019. - xiv, 303 p. :ill., digital ;24 cm.

1 Introduction -- 2 One-Dimensional Maps -- 3 Hopf Bifurcations -- 4 Homoclinic Bifurcations -- 5 Hamiltonian Systems -- 6 Diverse Applications -- Appendix -- References.

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 Poincare, 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.

ISBN: 9783030325381$q(electronic bk.)

Standard No.: 10.1007/978-3-030-32538-1doiSubjects--Topical Terms:

182904
Chaotic behavior in systems.

LC Class. No.: Q172.5.C45 / F69 2019

Dewey Class. No.: 003.857

Chaosan introduction for applied mathematicians /
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505 0 $a 1 Introduction -- 2 One-Dimensional Maps -- 3 Hopf Bifurcations -- 4 Homoclinic Bifurcations -- 5 Hamiltonian Systems -- 6 Diverse Applications -- Appendix -- References.
520 $a 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 Poincare, 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.
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