Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
Dynamical Scale Transform in Tropical Geometry by Tsuyoshi Kato (2016, Hardcover)
Rarewaves (643413)
98.2% positive feedback
Price:
US $104.07
ApproximatelyRM 441.86
+ $3.99 shipping
Returns:
30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherWorld Industries Scientific Publishing Co Pte LTD
ISBN-109814635367
ISBN-139789814635363
eBay Product ID (ePID)235446181
Product Key Features
Number of Pages250 Pages
Publication NameDynamical Scale Transform in Tropical Geometry
LanguageEnglish
SubjectDifferential Equations / Partial, Physics / Mathematical & Computational, Geometry / Algebraic
Publication Year2016
TypeTextbook
AuthorTsuyoshi Kato
Subject AreaMathematics, Science
FormatHardcover
Dimensions
Item Weight0 Oz
Additional Product Features
Intended AudienceTrade
LCCN2016-030118
Dewey Edition23
IllustratedYes
Dewey Decimal516.35
SynopsisThis book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to the piecewise linear dynamics.Both rational and piecewise linear dynamics appear in many important branches of mathematics. Tropical geometry can play a role or function to bridge between different subjects in mathematics. This book contains detailed accounts of basic strategy on how to apply tropical geometry to analysis in various mathematical subjects by presenting several applications which include: a rough classification of partial differential equations from the point of view of global behavior of solutions; construction of the infinite quasi-recursive rational dynamics, based on the automaton of the Burnside group by Aleshin-Grigorchuk; study on nearly periodicity of the pentagram map on the moduli space of the twisted polygons; spectral coincidence between lamplighter group in theory of automata groups and Box and ball systems corresponding to KdV equation in soliton theory.This book is self-contained, and detailed accounts of theory of automata groups, BBS and the pentagram map are also included., This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to the piecewise linear dynamics. Both rational and piecewise linear dynamics appear in many important branches of mathematics. Tropical geometry can play a role or function to bridge between different subjects in mathematics. This book contains detailed accounts of basic strategy on how to apply tropical geometry to analysis in various mathematical subjects by presenting several applications which include: a rough classification of partial differential equations from the point of view of global behavior of solutions; construction of the infinite quasi-recursive rational dynamics, based on the automaton of the Burnside group by Aleshin-Grigorchuk; study on nearly periodicity of the pentagram map on the moduli space of the twisted polygons; spectral coincidence between lamplighter group in theory of automata groups and Box and ball systems corresponding to KdV equation in soliton theory. This book is self-contained, and detailed accounts of theory of automata groups, BBS and the pentagram map are also included.
LC Classification NumberQA582.K38 2016
Be the first to write a review
