0
Your cart

Your cart is empty

Books > Computing & IT > Computer software packages > Other software packages > Mathematical & statistical software

Buy Now

Groebner Bases - Statistics and Software Systems (Hardcover, 2013 ed.) Loot Price: R2,245
Discovery Miles 22 450
You Save: R1,567 (41%)
Groebner Bases - Statistics and Software Systems (Hardcover, 2013 ed.): Takayuki Hibi

Groebner Bases - Statistics and Software Systems (Hardcover, 2013 ed.)

Takayuki Hibi

 (sign in to rate)
List price R3,812 Loot Price R2,245 Discovery Miles 22 450 | Repayment Terms: R210 pm x 12* You Save R1,567 (41%)

Bookmark and Share

Expected to ship within 12 - 17 working days

The idea of the Grobner 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 Grobner basis was independently introduced by Heisuke Hironaka in 1964 and Bruno Buchberger in 1965. However, after the discovery of the notion of the Grobner 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 Grobner basis. Since then, rapid development on the Grobner basis has been achieved by many researchers, including Bernd Sturmfels.

This book serves as a standard bible of the Grobner 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 Grobner basis, requiring no special knowledgeto understand those basic points.

Starting from the introductory performance of the Grobner basis (Chapter 1), a trip around mathematical software follows (Chapter 2). Then comes a deep discussion of how to compute the Grobner 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 Grobner basis of a toric ideal is a fundamental tool of the Markov chain Monte Carlo method. Moreover, the Grobner basis of a toric ideal has had a great influence on the study of convex polytopes (Chapter 5). In addition, the Grobner 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."

General

Imprint: Springer Verlag,Japan
Country of origin: Japan
Release date: 2014
First published: 2013
Editors: Takayuki Hibi
Dimensions: 235 x 155 x 31mm (L x W x T)
Format: Hardcover
Pages: 474
Edition: 2013 ed.
ISBN-13: 978-4-431-54573-6
Categories: Books > Science & Mathematics > Mathematics > Probability & statistics
Books > Computing & IT > Computer software packages > Other software packages > Mathematical & statistical software
Promotions
LSN: 4-431-54573-5
Barcode: 9784431545736

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

An Introduction to Creating Standardized…
Todd Case, Yuting Tian Hardcover R1,663 Discovery Miles 16 630
Mathematical Modeling for Smart…
Debabrata Samanta, Debabrata Singh Hardcover R12,724 Discovery Miles 127 240
Jump into JMP Scripting, Second Edition…
Wendy Murphrey, Rosemary Lucas Hardcover R1,669 Discovery Miles 16 690
Simulating Data with SAS (Hardcover…
Rick Wicklin Hardcover R1,765 Discovery Miles 17 650
The Global English Style Guide - Writing…
John R Kohl Hardcover R2,116 Discovery Miles 21 160
SAS Certified Professional Prep Guide…
Sas Institute Hardcover R3,700 Discovery Miles 37 000
SAS Text Analytics for Business…
Teresa Jade, Biljana Belamaric-Wilsey, … Hardcover R2,724 Discovery Miles 27 240
Portfolio and Investment Analysis with…
John B. Guerard, Ziwei Wang, … Hardcover R2,443 Discovery Miles 24 430
Proc SQL - Beyond the Basics Using SAS…
Kirk Paul Lafler Hardcover R2,072 Discovery Miles 20 720
Predictive Modeling with SAS Enterprise…
Kattamuri S Sarma Hardcover R2,434 Discovery Miles 24 340
The Little SAS Enterprise Guide Book
Susan J Slaughter, Lora D Delwiche Hardcover R1,899 Discovery Miles 18 990
SAS Certified Specialist Prep Guide…
Sas Institute Hardcover R3,396 Discovery Miles 33 960

See more

Partners