Combinatorial convexity and algebraic geometry (Record no. 51889)
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000 -LEADER | |
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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 |
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 |
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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 |