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Random Matrices: 142 (Pure and Applied Mathematics), Mehta 9780120884094
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- Buy It NowRandom Matrices: 142 (Pure and Applied Mathematics), Mehta 9780120884094
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eBay item number:177230958499
Item specifics
- Condition
- PublishedOn
- 2004-10-06
- ISBN
- 9780120884094
About this product
Product Identifiers
Publisher
Elsevier Science & Technology
ISBN-10
0120884097
ISBN-13
9780120884094
eBay Product ID (ePID)
112197010
Product Key Features
Number of Pages
706 Pages
Publication Name
Random Matrices
Language
English
Subject
Physics / Quantum Theory, Algebra / Linear
Publication Year
2004
Features
Revised
Type
Textbook
Subject Area
Mathematics, Science
Series
Pure and Applied Mathematics Ser.
Format
Hardcover
Dimensions
Item Length
9 in
Item Width
6 in
Additional Product Features
Edition Number
3
Intended Audience
Scholarly & Professional
Series Volume Number
Volume 142
Volume Number
Volume 142
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.
Edition Description
Revised edition
Synopsis
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, 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.
LC Classification Number
QC174.45
Item description from the seller
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- f***a (2085)- Feedback left by buyer.Past 6 monthsVerified purchaseVery positive experience! Excellent seller communication! I reached out with some questions and the seller got back to me immediately, and then shipped the next day after I paid for everything. Packed very carefully and securely to prevent damage! Both hoodies arrived as described, only 2 days after ordering (all the way across the country). Seller kindly combined shipping cost and shipped both hoodies together, saving me a lot in shipping cost. Good prices. Nice shirts. Thank you very much
- e***g (69)- Feedback left by buyer.Past 6 monthsVerified purchaseThe shipping was very fast. The pants were well packed and protected in a sealed inner bag. The description and photos of the product were accurate. The pants are even nicer than I had expected and value for what I paid exceeded my expectations. I’m very pleased with this small family company and I will buy items from them in the future! They are on my saved list.
- a***i (281)- Feedback left by buyer.Past 6 monthsVerified purchaseItem as described in post. Price of item was a great value. Packaging of item was well done. Postage was accurate to distance. Seller had great communication skills. Would shop here again!
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Seller feedback (4,321)
- f***a (2085)- Feedback left by buyer.Past 6 monthsVerified purchaseVery positive experience! Excellent seller communication! I reached out with some questions and the seller got back to me immediately, and then shipped the next day after I paid for everything. Packed very carefully and securely to prevent damage! Both hoodies arrived as described, only 2 days after ordering (all the way across the country). Seller kindly combined shipping cost and shipped both hoodies together, saving me a lot in shipping cost. Good prices. Nice shirts. Thank you very much
- e***g (69)- Feedback left by buyer.Past 6 monthsVerified purchaseThe shipping was very fast. The pants were well packed and protected in a sealed inner bag. The description and photos of the product were accurate. The pants are even nicer than I had expected and value for what I paid exceeded my expectations. I’m very pleased with this small family company and I will buy items from them in the future! They are on my saved list.
- a***i (281)- Feedback left by buyer.Past 6 monthsVerified purchaseItem as described in post. Price of item was a great value. Packaging of item was well done. Postage was accurate to distance. Seller had great communication skills. Would shop here again!