MARC details
000 -LEADER |
fixed length control field |
02281cam a2200289 a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
CUTN |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20171206145845.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
080520s2008 enk b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780521888615 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
0521888611 (hbk. : alk. paper) |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
531.11 |
Edition number |
22 |
Item number |
FAR |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Faria, Edson de. |
245 10 - TITLE STATEMENT |
Title |
Mathematical tools for one-dimensional dynamics / |
Statement of responsibility, etc |
Edson de Faria, Welington de Melo. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Cambridge, UK ; |
-- |
New York : |
Name of publisher, distributor, etc |
Cambridge University Press, |
Date of publication, distribution, etc |
2008. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
vi, 191 p. ; |
Dimensions |
24 cm. |
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Cambridge studies in advanced mathematics ; |
Volume number/sequential designation |
115 |
500 ## - GENERAL NOTE |
General note |
Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmuller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics. |
505 ## - FORMATTED CONTENTS NOTE |
Contents |
Preface; 1. Introduction; 2. Preliminaries in complex analysis; 3. Uniformization and conformal distortion; 4. The measurable Riemann mapping theorem; 5. Holomorphic motions; 6. The Schwarzian derivative and cross-ratio distortion; 7. Appendix: Riemann Surfaces and Teichmuller spaces; Bibliography; Index. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Dynamics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Teichmüller spaces. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Riemann surfaces. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Holomorphic functions. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Melo, Welington de. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
General Books |
856 41 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/toc/ecip0818/2008021976.html">http://www.loc.gov/catdir/toc/ecip0818/2008021976.html</a> |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. 185-189) and index. |
856 41 - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents only |