MARC details
000 -LEADER |
fixed length control field |
02789nam a22003737a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240626122750.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240625b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319167206 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
English |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.7 |
Item number |
COX-I |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Cox, David A. |
245 ## - TITLE STATEMENT |
Title |
Ideals, varieties, and algorithms : |
Remainder of title |
an introduction to computational algebraic geometry and commutative algebra. |
250 ## - EDITION STATEMENT |
Edition statement |
4th ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
New York : |
Name of publisher, distributor, etc. |
Springer, |
Date of publication, distribution, etc. |
2024. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xvi, 646p. : |
Other physical details |
ill. ; |
490 ## - SERIES STATEMENT |
Series statement |
Undergraduate texts in mathematics |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. 627-633) and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gröbner bases. The book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D).<br/><br/>The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate levelcourses in algebraic geometry or computational algebra. Prerequisites for the reader include linear algebra and a proof-oriented course. It is assumed that the reader has access to a computer algebra system. Appendix C describes features of Maple™, Mathematica® and Sage, as well as other systems that are most relevant to the text. Pseudocode is used in the text; Appendix B carefully describes the pseudocode used. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geometry, Algebraic |
General subdivision |
Data processing. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Commutative algebra |
General subdivision |
Data processing. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
CoCoA algebraic geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Hilbert basis theorem |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Maple algebraic geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Computational algebraic geometry |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Invariant theory |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algorithms algebraic geometry |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Little, John |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
O'Shea, Donal. |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-3-319-16721-3/1">https://link.springer.com/content/pdf/bfm:978-3-319-16721-3/1</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/26497490-ideals-varieties-and-algorithms?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/26497490-ideals-varieties-and-algorithms?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
NBHM Books |
Source of classification or shelving scheme |
Universal Decimal Classification |