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＜電子ブック＞
Chaos : An Introduction for Applied Mathematicians / by Andrew Fowler, Mark McGuinness

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XIV, 303 p. 133 illus., 55 illus. in color : online resource
著者標目	*Fowler, Andrew author McGuinness, Mark author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Dynamical systems LCSH:Approximation theory FREE:Mathematical Physics FREE:Dynamical Systems FREE:Approximations and Expansions FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 aredescribed 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 HTTP:URL=https://doi.org/10.1007/978-3-030-32538-1

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