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Tau functions and their applications
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Catalogue Information
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Details
Dewey Class
512.74
Title
Tau functions and their applications (M) / John Harnad, Ferenc Balogh
Author
Harnad, John P. , 1946
Added Personal Name
Balogh, Ferenc , 1981-
Publication
Cambridge : Cambridge University Press , 2021
Physical Details
xxvi, 521 pag. ; 25 cm.
Series
Cambridge monographs on mathematical physics
ISBN
9781108492683
Summary Note
Tau functions are a central tool in the modern theory of integrable systems. This volume provides a thorough introduction, starting from the basics and extending to recent research results. It covers a wide range of applications, including generating functions for solutions of integrable hierarchies, correlation functions in the spectral theory of random matrices and combinatorial generating functions for enumerative geometrical and topological invariants. A self-contained summary of more advanced topics needed to understand the material is provided, as are solutions and hints for the various exercises and problems that are included throughout the text to enrich the subject matter and engage the reader. Building on knowledge of standard topics in undergraduate mathematics and basic concepts and methods of classical and quantum mechanics, this monograph is ideal for graduate students and researchers who wish to become acquainted with the full range of applications of the theory of tau functions:
Links to Related Works
Subject References:
Forms, Modular
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Grassmann manifolds
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Hamiltonian systems
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Integral Equations
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Mathematical Physics
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Authors:
Balogh, Ferenc 1981-
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Harnad, John P. 1946
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Series:
Cambridge monographs on mathematical physics
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Classification:
512.74
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0000000044411
51-72 HAR
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