Bookcover of Tropical Geometry
Booktitle:

Tropical Geometry

An approach to two different types of geometry with tropical geometry

LAP LAMBERT Academic Publishing (2012-02-09 )

Books loader

Omni badge eligible for voucher
ISBN-13:

978-3-8473-1417-2

ISBN-10:
3847314173
EAN:
9783847314172
Book language:
English
Blurb/Shorttext:
The main topic of this book is the tropical semiring. Tropical geometry is a relatively new, but rapidly growing field in mathematics. The tropical semiring first appeared in computer sciences, but has deep relations with many fields of mathematics. These include algebraic geometry, mirror symmetry, complex analysis, combinatorics, logic, computer algebra and statistical models. In this book the main topic is the relation between tropical geometry and Voronoi diagrams. The author starts by discussing tropical addition and multiplication and what the graphs of polynomials, defined using this type of addition and multiplication, look like. Next, she discusses the notion of a tropical amoeba and how Voronoi diagrams relate to this notion. She will also consider power diagrams, a type of generalization of the Voronoi diagram, and look at their relation to tropical amoebas. She will show that every tropical polynomial defines a power diagram and, even better, also a Voronoi diagram. Lastly the author also approaches tropical geometry from the view of algebraic geometry. She will show how the spine of an amoeba in algebraic geometry relates to the tropical amoeba.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Tessa van der Hoorn
Number of pages:
68
Published on:
2012-02-09
Stock:
Available
Category:
Mathematics
Price:
49.00 €
Keywords:
geometry, Voronoi, tropical

Books loader

Newsletter

Adyen::amex Adyen::mc Adyen::visa Adyen::cup Adyen::unionpay Paypal Wire Transfer

  0 products in the shopping cart
Edit cart
Loading frontend
LOADING