A first course in discrete dynamical systems / (Record no. 39904)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03199pam a2200325 a 4500 |
| 001 - ACCESSION NUMBER | |
| control field | 3051821 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20231016140421.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 960321s1996 nyua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 96014777 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387947808 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Transcribing agency | DLC |
| Modifying agency | DLC |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA614.8 |
| Item number | .H65 1996 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.74 |
| Edition number | 20 |
| Item number | HOL |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Holmgren, Richard A. |
| 245 12 - TITLE STATEMENT | |
| Title | A first course in discrete dynamical systems / |
| Statement of responsibility, etc | Richard A. Holmgren. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | New York : |
| Name of publisher, distributor, etc | Springer, |
| Date of publication, distribution, etc | c1996. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xv, 223 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Universitext |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [215]-220) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction<br/>Richard A. Holmgren<br/>Pages 1-8<br/>A Quick Look at Functions<br/>Richard A. Holmgren<br/>Pages 9-20<br/>The Topology of the Real Numbers<br/>Richard A. Holmgren<br/>Pages 21-29<br/>Periodic Points and Stable Sets<br/>Richard A. Holmgren<br/>Pages 31-39<br/>Sarkovskii’s Theorem<br/>Richard A. Holmgren<br/>Pages 41-46<br/>Differentiability and Its Implications<br/>Richard A. Holmgren<br/>Pages 47-57<br/>Parametrized Families of Functions and Bifurcations<br/>Richard A. Holmgren<br/>Pages 59-67<br/>The Logistic Function Part I: Cantor Sets and Chaos<br/>Richard A. Holmgren<br/>Pages 69-86<br/>The Logistic Function Part II: Topological Conjugacy<br/>Richard A. Holmgren<br/>Pages 87-93<br/>The Logistic Function Part III: A Period-Doubling Cascade<br/>Richard A. Holmgren<br/>Pages 95-108<br/>The Logistic Function Part IV: Symbolic Dynamics<br/>Richard A. Holmgren<br/>Pages 109-126<br/>Newton’s Method<br/>Richard A. Holmgren<br/>Pages 127-151<br/>Numerical Solutions of Differential Equations<br/>Richard A. Holmgren<br/>Pages 153-165<br/>The Dynamics of Complex Functions<br/>Richard A. Holmgren<br/>Pages 167-192<br/>The Quadratic Family and the Mandelbrot Set<br/>Richard A. Holmgren<br/>Pages 193-202<br/>Back Matter<br/>Pages 203-224 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Discrete dynamical systems are essentially iterated functions. Given the ease with which computers can do iteration, it is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. The level of the presentation is suitable for advanced undergraduates with a year of calculus behind them. Students in the author's courses using this material have come from numerous disciplines; many have been majors in other disciplines who are taking mathematics courses out of general interest. Concepts from calculus are reviewed as necessary. Mathematica programs that illustrate the dynamics and that will aid the student in doing the exercises are included in an appendix. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differentiable dynamical systems. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Publisher description |
| Uniform Resource Identifier | <a href="http://www.loc.gov/catdir/enhancements/fy0817/96014777-d.html">http://www.loc.gov/catdir/enhancements/fy0817/96014777-d.html</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents only |
| Uniform Resource Identifier | <a href="http://www.loc.gov/catdir/enhancements/fy0817/96014777-t.html">http://www.loc.gov/catdir/enhancements/fy0817/96014777-t.html</a> |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) | |
| a | 7 |
| b | cbc |
| c | orignew |
| d | 1 |
| e | ocip |
| f | 19 |
| g | y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Project book |
| Date last seen | Total Checkouts | Full call number | Barcode | Checked out | Date checked out | Price effective from | Koha item type | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Withdrawn status | Home library | Current library | Date acquired |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 03/01/2024 | 1 | 514.74 HOL | 48807 | 31/01/2024 | 03/01/2024 | 16/10/2023 | Project book | Dewey Decimal Classification | Non-fiction | CUTN Central Library | CUTN Central Library | 16/10/2023 |