MARC details
| 000 -LEADER |
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| fixed length control field |
02216nam a2200289 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260511162242.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260511b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470474317 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
515.64 |
| Item number |
T385 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Theobald, Thorsten, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Real algebraic geometry and optimization / |
| Statement of responsibility, etc |
Thorsten Theobald. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Providence, Rhode Island : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xx, 486 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
volume 241 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Semialgebraic sets -- Convexity and positivity -- Polynomial optimization -- Sums of squares -- Semidefinite programming -- Real varieties -- Moment problems -- Polyhedral geometry -- Computational methods and applications. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This graduate-level textbook presents a comprehensive introduction to the interaction between real algebraic geometry and modern optimization theory. The book develops the algebraic, geometric, and computational foundations needed to study polynomial systems, semialgebraic sets, convexity, positivity, and optimization problems arising in mathematics, engineering, computer science, robotics, and data science. The author systematically explains core concepts such as real varieties, sums of squares, semidefinite programming, moment methods, polynomial optimization, and convex algebraic geometry while emphasizing both theoretical structure and algorithmic applications. Numerous examples and applications demonstrate how algebraic-geometric methods can be used to solve optimization problems in practical and interdisciplinary contexts. Designed for graduate students and researchers, the text serves as an accessible introduction to contemporary developments connecting algebraic geometry, convex analysis, and optimization theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Geometry, Algebraic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical optimization. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Semialgebraic sets. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Convex programming. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynomial optimization. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
241. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
