Introduction to tropical geometry

Introduction to tropical geometry

by Maclagan, Diane

Type Book
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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…

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Title Statements

  • Full title :Introduction to tropical geometry / Maclagan, Diane.

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 itself.

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The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781470422219, 1470422212
  • oclc:ocn987009803
  • LC Classification:QA582
  • Dewey Decimal:516.3/5

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