عنوان

Introduction to tropical geometry /

شابک

0821851985 (alk. paper)

شابک

9780821851982 (alk. paper)

شماره

b416391

عنوان اصلي

Introduction to tropical geometry /

نام عام مواد

[Book]

نام نخستين پديدآور

Diane Maclagan, Bernd Sturmfels

نام خاص و کميت اثر

xii, 363 pages :

ساير جزييات

illustrations ;

ابعاد

27 cm

عنوان فروست

Graduate studies in mathematics ;

مشخصه جلد

volume 161

متن يادداشت

Includes bibliographical references (pages 351-359) and index

متن يادداشت

1. Tropical Islands -- 2. Building Blocks -- 3. Tropical Varities -- 4. Tropical Rain Forest -- 5. Tropical Garden -- 6. Toric Connections

بدون عنوان

0

متن يادداشت

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. --Provided by publisher

عنوان اصلي به زبان ديگر

Tropical geometry

موضوع مستند نشده

Geometry, Algebraic-- Study and teaching (Graduate)

موضوع مستند نشده

Tropical geometry-- Study and teaching (Graduate)

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Maclagan, Diane,1974-

مستند نام اشخاص تاييد نشده

Sturmfels, Bernd,1962-

تاريخ عمليات

20150909172712.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y