Introduction To Non-Linear Algebra - Hardcover

V Dolotin; A Morozov

 
9789812708007: Introduction To Non-Linear Algebra
Hardcover
ISBN 10: 9812708006 ISBN 13: 9789812708007
Publisher: World Scientific Publishing, 2007

Synopsis

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.

"synopsis" may belong to another edition of this title.

Review

This book may be useful and inspiring for a quite broad audience. Reading the text needs motivation, experience and endurance, but it is worth one s while --Zentralblatt MATH

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing
Publication date
2007
Language
English
ISBN 10 
9812708006
ISBN 13 
9789812708007
Binding
Hardcover
Number of pages
288