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portada Introduction to Non-Linear Algebra
Introduction to Non-Linear AlgebraIntroduction to Non-Linear AlgebraIntroduction to Non-Linear Algebra
Type
Physical Book
Author
Publisher
Language
English
Pages
288
Format
Hardcover
Dimensions
23.3x16x2 cm
Weight
0.67 kg.
ISBN
9812708006
ISBN13
9789812708007
Categories

Introduction to Non-Linear Algebra

Alexei Morozov (Author) · Valery Dolotin (Author) · World Scientific Publishing Company · Hardcover

Introduction to Non-Linear Algebra - Morozov, Alexei ; Dolotin, Valery

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Synopsis "Introduction to Non-Linear Algebra"

This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations. It reveals the non-linear algebraic activity as an essentially wider and diverse field with its own original methods, of which the linear one is a special restricted case.This volume contains a detailed and comprehensive description of basic objects and fundamental techniques arising from the theory of non-linear equations, which constitute the scope of what should be called non-linear algebra. The objects of non-linear algebra are presented in parallel with the corresponding linear ones, followed by an exposition of specific non-linear properties treated with the use of classical (such as the Koszul complex) and original new tools. This volume extensively uses a new diagram technique and is enriched with a variety of illustrations throughout the text. Thus, most of the material is new and is clearly exposed, starting from the elementary level. With the scope of its perspective applications spreading from general algebra to mathematical physics, it will interest a broad audience of physicists; mathematicians, as well as advanced undergraduate and graduate students.

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