Introduction to tropical geometry (Record no. 59889)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02013nam a22002417a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230510b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781470437312 (PB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 514.7 |
| Item number | MAC |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Maclagan, Diane |
| 245 ## - TITLE STATEMENT | |
| Title | Introduction to tropical geometry |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Indian Edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Providence, Rhode Island |
| Name of publisher | American Mathematical Society (AMS) |
| Year of publication | 2017 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xii, 363 p |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics |
| Volume number/sequential designation | 6 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Tropical Islands<br/>2. Building Blocks<br/>3. Tropical Varities<br/>4. Tropical Rain Forest<br/>5. Tropical Garden<br/>6. Toric Connections |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of two numbers is their minimum and the product is their sum. This turns polynomials into piecewise-linear functions, and their zero sets into polyhedral complexes. These tropical varieties retain a surprising amount of information about their classical counterparts. Tropical geometry is a young subject that has undergone a rapid development since the beginning of the 21st century. While establishing itself as an area in its own right, deep connections have been made to many branches of pure and applied mathematics. This book offers a self-contained introduction to tropical geometry, suitable as a course text for beginning graduate students. Proofs are provided for the main results, such as the Fundamental Theorem and the Structure Theorem. Numerous examples and explicit computations illustrate the main concepts. Each of the six chapters concludes with problems that will help the readers to practice their tropical skills, and to gain access to the research literature. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Tropical geometry Study and teaching (Graduate) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Geometry, Algebraic Study and teaching (Graduate) |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Sturmfels, Bernd |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) | Copy number |
|---|---|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Multiple Copies Section, Shelf No: 5 | 514.7 MAC | 77163 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) Through Prof. R Balasubramanian | |||||
| IMSc Library | IMSc Library | Multiple Copies Section, Shelf No: 5 | 514.7 MAC | 77180 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) | 1 |