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SPRINGER GROEBNER BASES STATISTICS AND SOFTWARE SYSTEMS 2013 RETAIL EBOOK-kE

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 							 TITLE: GROEBNER BASES: STATISTICS AND SOFTWARE SYSTEMS
  PUBLISHER: SPRINGER LANGUAGE: ENGLISH
 
LINK: http://is.gd/4sAuSu RELEASE TYPE: RETAIL
  FORMAT: PDF RELEASE DATE: 2015.01.28
  ISBN: 9784431545743
STORE DATE: 2013
  SAVED.MONEY: 80 EURO DISKCOUNT: 03 x 05MB
  AUTHOR: HIBI, TAKAYUKI (ED.)
  
 
BOOK
  
  The idea of the Groebner basis first appeared in a 1927 paper by
  F. S. Macaulay, who
succeeded in creating a combinatorial
  characterization of the Hilbert functions of homogeneous ideals
  of
the polynomial ring. Later, the modern definition of the
  Groebner basis was independently introduced by Heisuke
Hironaka
  in 1964 and Bruno Buchberger in 1965. However, after the
  discovery of the notion of the Groebner
basis by Hironaka and
  Buchberger, it was not actively pursued for 20 years. A
  breakthrough was made in the
mid-1980s by David Bayer and Michael
  Stillman, who created the Macaulay computer algebra system with
  the
help of the Groebner basis. Since then, rapid development on
  the Groebner basis has been achieved by many
researchers
  including Bernd Sturmfels
  
  This book serves as a standard bible of the Groebner basis,
for
  which the harmony of theory, application, and computation are
  indispensable. It provides all the
fundamentals for graduate
  students to learn the ABC's of the Groebner basis, requiring no
  special
knowledge to understand those basic points
  
  Starting from the introductory performance of the Groebner
basis
  (Chapter 1), a trip around mathematical software follows (Chapter
  2). Then comes a deep discussion
of how to compute the Groebner
  basis (Chapter 3). These three chapters may be regarded as the
  first act of
a mathematical play. The second act opens with
  topics on algebraic statistics (Chapter 4), a fascinating
 
research area where the Groebner basis of a toric ideal is a
  fundamental tool of the Markov chain Monte Carlo
method
  Moreover, the Groebner basis of a toric ideal has had a great
  influence on the study of convex
polytopes (Chapter 5). In
  addition, the Groebner basis of the ring of differential
  operators gives
effective algorithms on holonomic functions
  (Chapter 6). The third act (Chapter 7) is a collection of
 
concrete examples and problems for Chapters 4, 5 and 6
  emphasizing computation by using various software systems
						

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