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Random Matrices, Hardcover by Mehta, Madan Lal, Like New Used, Free shipping ...

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Item specifics

Condition
Like New: A book that looks new but has been read. Cover has no visible wear, and the dust jacket ...
Book Title
Random Matrices
ISBN
9780120884094
Subject Area
Science, Mathematics
Publication Name
Random Matrices
Item Length
9 in
Publisher
Elsevier Science & Technology
Subject
Physics / Quantum Theory, Algebra / Linear
Series
Pure and Applied Mathematics Ser.
Publication Year
2004
Type
Textbook
Format
Hardcover
Language
English
Author
Madan Lal Mehta
Features
Revised
Item Width
6 in
Number of Pages
706 Pages

About this product

Product Information

Random Matrices gives a coherent and detailed description of analytical methods devised to study random matrices. These methods are critical to the understanding of various fields in in mathematics and mathematical physics, such as nuclear excitations, ultrasonic resonances of structural materials, chaotic systems, the zeros of the Riemann and other zeta functions. More generally they apply to the characteristic energies of any sufficiently complicated system and which have found, since the publication of the second edition, many new applications in active research areas such as quantum gravity, traffic and communications networks or stock movement in the financial markets. This revised and enlarged third edition reflects the latest developements in the field and convey a greater experience with results previously formulated. For example, the theory of skew-orthogoanl and bi-orthogonal polynomials, parallel to that of the widely known and used orthogonal polynomials, is explained here for the first time. Presentation of many new results in one place for the first time First time coverage of skew-orthogonal and bi-orthogonal polynomials and their use in the evaluation of some multiple integrals Fredholm determinants and Painlev equations The three Gaussian ensembles (unitary, orthogonal, and symplectic); their n-point correlations, spacing probabilities Fredholm determinants and inverse scattering theory Probability densities of random determinants

Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-10
0120884097
ISBN-13
9780120884094
eBay Product ID (ePID)
112197010

Product Key Features

Author
Madan Lal Mehta
Publication Name
Random Matrices
Format
Hardcover
Language
English
Features
Revised
Subject
Physics / Quantum Theory, Algebra / Linear
Series
Pure and Applied Mathematics Ser.
Publication Year
2004
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
706 Pages

Dimensions

Item Length
9 in
Item Width
6 in

Additional Product Features

Edition Number
3
Intended Audience
Scholarly & Professional
Series Volume Number
Volume 142
Lc Classification Number
Qc174.45
Volume Number
Volume 142
Edition Description
Revised Edition
Table of Content
Gaussian Ensembles. The Joint Probability Density Function of the Matrix Elements. Gaussian Ensembles. The Joint Probability Density Function of the Eigenvalues. Gaussian Ensembles. Level Density. Gaussian Unitary Ensemble. Gaussian Orthogonal Ensemble. Gaussian Symplectic Ensemble. Brownian Motion Model. Circular Ensembles. Circular Ensembles (Continued). Circular Ensembles. Thermodynamics. Asymptotic Behaviour of B(O,s) for Large S. Gaussian Ensemble of Anti-Symmetric Hermitian Matrices. Another Gaussian Ensemble of Hermitian Matrices. Matrices with Gaussian Element Densities but with No Unitary or Hermitian Condition Imposed. Statistical Analysis of a Level Sequence. Selberg's Integral and Its Consequences. Gaussian Ensembles. Level Density in the Tail of the Semi-Circle. Restricted Trace Ensembles. Bordered Matrices. Invariance Hypothesis and Matrix Element Correlations. Index.
Copyright Date
2004

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