Holomorphic dynamics

By:

Morosawa, S

Contributor(s):

Material type: Book

BookSeries: Cambridge studies in advanced mathematics, 66Publication details: Cambridge: Cambridge University Press, 2000.Description: xi, 338 p. : ill. ; hb. ; 24 cmISBN:

9780521662581

Subject(s):

DDC classification:

515.352 MOR

Summary: This is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behavior of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory." "The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.352 MOR (Browse shelf(Opens below))	1	Available		030112

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Previous	515.352 BAR Poincare and the three body problem	515.352 CES Asymptotic behavior and stability problems in ordinary differential equations	515.352 HAS Classical methods in ordinary differential equations : with applications to boundary value problems	515.352 MOR Holomorphic dynamics	515.352 NAN Ordinary differential equations: principles and applications	515.352 PAL Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations	515.352 PIK Lyapunov exponents: a tool to explore complex dynamics	Next

Includes bibliographical references (p. 329-334) and index.

This is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behavior of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory." "The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.

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