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 Title Introduction to Nonlinear Algebra
 Author(s) V. Dolotin and A. Morozov
 Publisher: World Scientific Publishing Company (October 2, 2007)
 Hardcover/Paperback 288 pages
 eBook Multiple Formats: PostScript, DVI, and PDF
 Language: English
 ISBN10: 9812708006
 ISBN13: 9789812708007
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Book Description
This unique text presents the new domain of consistent nonlinear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving nonlinear algebraic and differential equations. It reveals the nonlinear 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 nonlinear equations, which constitute the scope of what should be called nonlinear algebra. The objects of nonlinear algebra are presented in parallel with the corresponding linear ones, followed by an exposition of specific nonlinear 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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