A first course in discrete dynamical systems
(Book)
Author
Status
General Shelving - 3rd Floor
QA614.8 .H65 1996
1 available
QA614.8 .H65 1996
1 available
Description
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Copies
Location | Call Number | Status |
---|---|---|
General Shelving - 3rd Floor | QA614.8 .H65 1996 | On Shelf |
Subjects
LC Subjects
OCLC Fast Subjects
More Details
Format
Book
Physical Desc
xv, 223 pages : illustrations ; 24 cm
Language
English
Notes
Bibliography
Includes bibliographical references (pages 215-220) and index.
Description
A discrete dynamical system can be characterized as an iterated function. Given the efficiency 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 is beautiful in its own right and is the subject of this text. The level of presentation is suitable for advanced undergraduates who have completed a year of college-level calculus. 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 the Appendix. In this second edition, the topics covered are rearranged to make the text more flexible. In particular, the material on symbolic dynamics is now optional, and the book can easily be used for a single-semester course dealing exclusively with functions of a single real variable. Alternatively, the basic properties of dynamical systems can be introduced using functions of a real variable, and then the reader can skip directly to the material on the dynamics of complex functions. Additional changes include the simplification of several proofs, a thorough review and expansion of the exercises, and substantial improvement in the efficiency of the Mathematica programs.
Terms Governing Use and Reproduction
British Library not licensed to copy,0.,Uk
Local note
SACFinal081324
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Citations
APA Citation, 7th Edition (style guide)
Holmgren, R. A. (1996). A first course in discrete dynamical systems (2nd ed.). Springer.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Holmgren, Richard A. 1996. A First Course in Discrete Dynamical Systems. Springer.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Holmgren, Richard A. A First Course in Discrete Dynamical Systems Springer, 1996.
MLA Citation, 9th Edition (style guide)Holmgren, Richard A. A First Course in Discrete Dynamical Systems 2nd ed., Springer, 1996.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
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