Screen LibraryIntroduction to tropical geometry /
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 fun...
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| Main Authors: | |
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| Group Author: | |
| Published: |
American Mathematical Society,
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| Publisher Address: | Providence, Rhode Island : |
| Publication Dates: | [2015] |
| Literature type: | Book |
| Language: | English |
| Series: |
Graduate studies in mathematics ;
volume 161 |
| Subjects: | |
| Summary: |
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 itse |
| Carrier Form: | xii, 363 pages : illustrations ; 27 cm. |
| Bibliography: | Includes bibliographical references (pages 351-359) and index. |
| ISBN: |
9780821851982 (alkaline paper) : 0821851985 (alkaline paper) |
| Index Number: | QA582 |
| CLC: | O187 |
| Call Number: | O187/M161 |
| Contents: | 1. Tropical Islands -- 2. Building Blocks -- 3. Tropical Varities -- 4. Tropical Rain Forest -- 5. Tropical Garden -- 6. Toric Connections. |