Projective Heat Map

Projective Heat Map

AngličtinaEbook
Schwartz, Richard Evan
American Mathematical Society
EAN: 9781470440503
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Podrobné informace

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.
EAN 9781470440503
ISBN 1470440504
Typ produktu Ebook
Vydavatel American Mathematical Society
Stránky 196
Jazyk English
Země Uruguay
Autoři Schwartz, Richard Evan