MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
02936nam a2200361 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
031210s2005 nyua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2003070363 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0387207066 |
| Qualifying information |
alk. paper |
|
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| International Standard Book Number |
0387207333 |
| Qualifying information |
pbk. : alk. paper |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
YDX |
| -- |
CIN |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA564 |
| Item number |
.C688 2005 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Cox, David A |
| 245 10 - TITLE STATEMENT |
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| Title |
Using algebraic geometry / |
| Statement of responsibility, etc |
David A. Cox, John Little, Donal O'Shea |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2005] |
|
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2005 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xii, 572 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
25 cm |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Graduate texts in mathematics ; |
| Volume number/sequential designation |
185 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 533-545) and index |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
Table Of Contents: |
| -- |
Preface to the Second Edition |
| -- |
Preface to the First Edition |
| -- |
1 Introduction |
| -- |
1 Polynomials and Ideals |
| -- |
2 Monomial Orders and Polynomial Division |
| -- |
3 Grobner Bases |
| -- |
4 Affine Varieties |
| -- |
2 Solving Polynomial Equations |
| -- |
1 Solving Polynomial Systems by Elimination |
| -- |
2 Finite-Dimensional Algebras |
| -- |
3 Grobner Basis Conversion |
| -- |
4 Solving Equations via Eigenvalues and Eigenvectors |
| -- |
5 Real Root Location and Isolation |
| -- |
3 Resultants |
| -- |
1 The Resultant of Two Polynomials |
| -- |
2 Multipolynomial Resultants |
| -- |
3 Properties of Resultants |
| -- |
4 Computing Resultants |
| -- |
5 Solving Equations via Resultants |
| -- |
6 Solving Equations via Eigenvalues and Eigenvectors |
| -- |
4 Computation in Local Rings |
| -- |
1 Local Rings |
| -- |
2 Multiplicities and Milnor Numbers |
| -- |
3 Term Orders and Division in Local Rings |
| -- |
4 Standard Bases in Local Rings |
| -- |
5 Applications of Standard Bases |
| -- |
5 Modules |
| -- |
l Modules over Rings |
| -- |
2 Monomial Orders and Grobner Bases for Modules |
| -- |
3 Computing Syzygies |
| -- |
4 Modules over Local Rings |
| -- |
6 Free Resolutions |
| -- |
1 Presentations and Resolutions of Modules |
| -- |
2 Hilbert's Syzygy Theorem |
| -- |
3 Graded Resolutions |
| -- |
4 Hilbert Polynomials and Geometric Applications |
| -- |
7 Polytopes, Resultants, and Equations |
| -- |
1 Geometry of Polytopes |
| -- |
2 Sparse Resultants |
| -- |
3 Toric Varieties |
| -- |
4 Minkowski Sums and Mixed Volumes |
| -- |
5 Bernstein's Theorem |
| -- |
6 Computing Resultants and Solving Equations |
| -- |
8 Polyhedral Regions and Polynomials |
| -- |
1 Integer Programming |
| -- |
2 Integer Programming and Combinatorics |
| -- |
3 Multivariate Polynomial Splines |
| -- |
4 The Grobner Fan of an Ideal |
| -- |
5 The Grobner Walk |
| -- |
9 Algebraic Coding Theory |
| -- |
1 Finite Fields |
| -- |
2 Error-Correcting Codes |
| -- |
3 Cyclic Codes |
| -- |
4 Reed-Solomon Decoding Algorithms |
| -- |
10 The Berlekamp-Massey-Sakata Decoding Algorithm |
| -- |
1 Codes from Order Domains |
| -- |
2 The Overall Structure of the BMS Algorithm |
| -- |
3 The Details of the BMS Algorithm |
| -- |
References |
| -- |
Index |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Geometry, Algebraic |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Little, John B |
|
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| Personal name |
O'Shea, Donal |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| 9 (RLIN) |
19347 |
| Uniform title |
Graduate texts in mathematics ; |
| Volume number/sequential designation |
185 |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
|---|
| Personal Name |
28414 |
|
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| Numeration |
satın |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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