ENGLISH

Introduction to Non-Linear Algebra

By V. Dolotin , A Morozov

Book information

Publisher
World Scientific Publishing Company
Year
2007
ISBN
9789812708007, 9812708006
Open Library ID
OL17251382M
Language
english
Format
PDF
Filesize
2 MB (1806884 bytes)
Pages
127\127
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11
Математика;Общая алгебра

Description

Concise introduction to a relatively new subject of non-linear algebra: literal extension of text-book linearalgebra to the case of non-linear equations and maps. This powerful science is based on the notions of discriminant(hyperdeterminant) and resultant, which today can be effectively studied both analytically and by modern computerfacilities. The paper is mostly focused on resultants of non-linear maps. First steps are described in direction ofMandelbrot-set theory, which is direct extension of the eigenvalue problem from linear algebra, and is related byrenormalization group ideas to the theory of phase transitions and dualities

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