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Projective heat map / (Record no. 424427)

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
Holdings
Lost status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 23/03/2018 279 6790.17 510MS Am512 138302 Books
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