Random Matrices

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Random Matrices by Madan Lal Mehta, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Madan Lal Mehta ISBN: 9780080474113
Publisher: Elsevier Science Publication: October 6, 2004
Imprint: Academic Press Language: English
Author: Madan Lal Mehta
ISBN: 9780080474113
Publisher: Elsevier Science
Publication: October 6, 2004
Imprint: Academic Press
Language: English

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 PainlevĂ© 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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Elsevier Science

Cover of the book Bioactive Seaweeds for Food Applications by Madan Lal Mehta
Cover of the book Experimental Food Science by Madan Lal Mehta
Cover of the book Advances in Research and Development by Madan Lal Mehta
Cover of the book Geological Controls for Gas Hydrates and Unconventionals by Madan Lal Mehta
Cover of the book Analysis by Madan Lal Mehta
Cover of the book Smart Sensors and MEMS by Madan Lal Mehta
Cover of the book Analytical Methods for Food Additives by Madan Lal Mehta
Cover of the book Principles of Computer System Design by Madan Lal Mehta
Cover of the book The Professional Protection Officer by Madan Lal Mehta
Cover of the book Organophosphorus Monomers and Polymers by Madan Lal Mehta
Cover of the book A Quick Guide to Health and Safety by Madan Lal Mehta
Cover of the book Pneumatic Handbook by Madan Lal Mehta
Cover of the book Bacteriophages, Part A by Madan Lal Mehta
Cover of the book Current Topics in Developmental Biology by Madan Lal Mehta
Cover of the book Handbook of Models for Human Aging by Madan Lal Mehta
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy