MARC details
000 -LEADER |
fixed length control field |
02308cam a2200265 i 4500 |
001 - CONTROL NUMBER |
control field |
138302 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
ISI Library, Kolkata |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20180427161247.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
160818s2017 riu b 000 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470435141 (alk. paper) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
ISI Library |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
510MS |
Edition number |
23 |
Item number |
Am512 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Schwartz, Richard Evan, |
Relator term |
author |
245 10 - TITLE STATEMENT |
Title |
Projective heat map / |
Statement of responsibility, etc |
Richard Evan Schwartz. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Providence : |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
©2017. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
x, 195 pages : |
Other physical details |
illustrations ; |
Dimensions |
27 cm. |
490 0# - SERIES STATEMENT |
Series statement |
Mathematical surveys and monographs ; |
Volume number/sequential designation |
v 219. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Introduction -- Some other polygon iterations -- A primer on projective geometry -- Elementary algebraic geometry -- The pentagram map -- Some related dynamical systems -- The projective heat map -- Topological degree of the map -- The convex case -- The basic domains -- The method of positive dominance -- The Cantor set -- Towards the quasi horseshoe -- The quasi horseshoe -- Sketches for the remaining results -- Towards the solenoid -- The solenoid -- Local structure of the Julia set -- The embedded graph -- Connectedness of the Julia set -- Terms, formulas, and coordinate listings. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book introduces a simple dynamical model for a planar heat map that is invariant under projective transformations. The map is defined by iterating a polygon map, where one starts with a finite planar $N$-gon and produces a new $N$-gon by a prescribed geometric construction. One of the appeals of the topic of this book is the simplicity of the construction that yet leads to deep and far reaching mathematics. To construct the projective heat map, the author modifies the classical affine invariant midpoint map, which takes a polygon to a new polygon whose vertices are the midpoints of the original.The author provides useful background which makes this book accessible to a beginning graduate student or advanced undergraduate as well as researchers approaching this subject from other fields of specialty. The book includes many illustrations, and there is also a companion computer program. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mappings (Mathematics) |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Projective spaces. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Projective geometry. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |