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Cover image for Topological and algebraic geometry methods in contemporary mathematical physics
Title:
Topological and algebraic geometry methods in contemporary mathematical physics
Personal Author:
Series:
Classic reviews in mathematics and mathematical physics ; 2
Publication Information:
Cambridge : Cambridge Scientific Publishers, 2004
Physical Description:
139 p. : ill. ; 22 cm.
ISBN:
9781904868309

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Material Type
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30000010167595 QC20.7.A37 D82 2004 Open Access Book Book
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Summary

Summary

This volume is a classic survey of algebraic geometry and topological methods in various problems of mathematical physics and provides an excellent reference text for graduate students and researchers. The book is divided into three parts: the first part concerns Hamiltonian formalism and methods that generalise Morse for certain dynamical systems of physical origin; the second part presents algebraic geometry analysis of the Yang-Baxter equations for two-dimensional models; and finally, part three presents the theory of multidimensional theta functions of Abel, Riemann, Poincare in a form that is elementally and convenient for applications.


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