Combinatorial convexity and algebraic geometry (Record no. 51889)

MARC details
000 -LEADER
fixed length control field 02135 a2200229 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191219b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461284765
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.6 EWA
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Ewald, Gunter
245 ## - TITLE STATEMENT
Title Combinatorial convexity and algebraic geometry
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Springer,
Date of publication, distribution, etc 1996
Place of publication, distribution, etc New York:
300 ## - PHYSICAL DESCRIPTION
Extent xiv; 372p.
Other physical details pb;
Dimensions 24 cm
365 ## - TRADE PRICE
Price type code EURO
Price amount 64.99
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Graduate Texts in Mathematics; Vol.168
520 ## - SUMMARY, ETC.
Summary, etc The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades. This relation is known as the theory of toric varieties or sometimes as torus embeddings. Chapters I-IV provide a self-contained introduction to the theory of convex poly­ topes and polyhedral sets and can be used independently of any applications to algebraic geometry. Chapter V forms a link between the first and second part of the book. Though its material belongs to combinatorial convexity, its definitions and theorems are motivated by toric varieties. Often they simply translate algebraic geometric facts into combinatorial language. Chapters VI-VIII introduce toric va­ rieties in an elementary way, but one which may not, for specialists, be the most elegant. In considering toric varieties, many of the general notions of algebraic geometry occur and they can be dealt with in a concrete way. Therefore, Part 2 of the book may also serve as an introduction to algebraic geometry and preparation for farther reaching texts about this field. The prerequisites for both parts of the book are standard facts in linear algebra (including some facts on rings and fields) and calculus. Assuming those, all proofs in Chapters I-VII are complete with one exception (IV, Theorem 5.1). In Chapter VIII we use a few additional prerequisites with references from appropriate texts.<br/><br/>
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorial Analysis.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Algebraic
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic Geometry.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Copy number Cost, replacement price Koha item type
    Dewey Decimal Classification     IIT Gandhinagar IIT Gandhinagar General Stacks 18/12/2019 Books India 5227.80   511.6 EWA 028474 18/12/2019 1 5227.80 Books


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