Introduction to nonlinear algebra
 Author/Creator
 Dolotin, V. (Valeriĭ Valerʹevich)
 Language
 English.
 Imprint
 Hackensack, NJ : World Scientific, c2007.
 Physical description
 xvi, 269 p. : ill. ; 24 cm.
Access
Available online

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QA427 .D65 2007

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QA427 .D65 2007
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Contributors
 Contributor
 Morozov, A. D. (Alʹbert Dmitrievich), 1944
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 267269).
 Contents

 Solving Equations. Resultants Evaluation of Resultants and Their Properties Discriminants of Polylinear Forms Examples of Resultants and Discriminants Eigenspaces, Eigenvalues and Resultants Iterated Maps Potential Applications.
 (source: Nielsen Book Data)
 Publisher's Summary
 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2007
 Responsibility
 V. Dolotin, A. Morozov.
 Title Variation
 Nonlinear algebra
 ISBN
 9789812708007
 9812708006