Most recent volume


Volume 142. Random Matrices

Published: 6th October 2004 Author: Madan Lal Mehta
This book 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.

Additional volumes


Volume 141. Infinite Words

Published: 12th February 2004 Authors: Dominique Perrin Jean-Éric Pin

Volume 140. Sobolev Spaces

Published: 26th June 2003 Authors: Robert Adams John Fournier

Volume 100D. Fundamentals of the theory of operator algebras. V4

Published: 1st April 2000

Volume 139. Algebraic Groups and Number Theory

Published: 19th October 1993 Authors: Vladimir Platonov Andrei Rapinchuk Rachel Rowen

Volume 138. Differential Manifolds

Published: 21st October 1992 Author: Antoni Kosinski

Volume 132II. Real Reductive Groups II

Published: 23rd June 1992

Volume 71I. A First Course in Rational Continuum Mechanics V1

Published: 17th December 1991

Random Matrices

Published: 28th November 1990 Author: Madan Lal Mehta

Volume 26. Scattering Theory, Revised Edition

Published: 28th January 1990 Authors: Peter Lax Ralph Phillips

Volume 137. Large Deviations

Published: 28th May 1989

Volume 136. Initial-Boundary Value Problems and the Navier-Stokes Equations

Published: 28th April 1989

Volume 134. Vertex Operator Algebras and the Monster

Published: 28th March 1989 Authors: Igor Frenkel James Lepowsky Arne Meurman

Volume 135. Infinite Crossed Products

Published: 28th January 1989

Volume 133. General Theory of Markov Processes

Published: 28th August 1988

Volume 127II. Ring Theory V2

Published: 28th June 1988

Volume 127I. Ring Theory V1

Published: 28th May 1988

Volume 2. Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Published: 28th April 1988 Editors: J. Fell R. Doran

Volume 1. Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Published: 28th March 1988 Editors: J. Fell R. Doran

Volume 129. Interpolation of Operators

Published: 28th February 1988 Authors: Colin Bennett Robert Sharpley

Volume 132. Real Productive Groups I

Published: 28th February 1988 Author: Nolan Wallach

Volume 131. Representations of algebraic groups

Published: 8th June 1987

Volume 130. Inverse Spectral Theory

Published: 16th March 1987 Author: Jurgen Poschel

Volume 124. Decompositions of Manifolds

Published: 22nd December 1986

Volume 123. Real-variable Methods in Harmonic Analysis

Published: 6th November 1986

Volume 122. Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Published: 28th July 1986

Volume 100II. Fundamentals of the Theory of Operator Algebras. V2

Published: 10th June 1986

Volume 108. A Theory of Sets

Published: 27th May 1986

Volume 20. Number Theory

Published: 5th May 1986

Volume 121. Complex Cobordism and Stable Homotopy Groups of Spheres

Published: 5th May 1986

Volume 120. An Introduction to Differentiable Manifolds and Riemannian Geometry

Published: 21st April 1986

Volume 119. Positive Operators

Published: 8th October 1985

Volume 118. An Introduction to Nonstandard Real Analysis

Published: 28th September 1985 Authors: Albert Hurd Peter Loeb

Volume 117. Theory of Codes

Published: 10th July 1985

Volume 116. Differential Manifolds and Theoretical Physics

Published: 24th May 1985

Volume 114. Differential Algebraic Groups

Published: 25th January 1985

Volume 115. Eigenvalues in Riemannian Geometry

Published: 7th November 1984 Author: Isaac Chavel

Volume 113. Groups & Geometric Analysis

Published: 28th June 1984

Volume 112. The Smith Conjecture

Published: 1st May 1984

Volume 111. The Umbral Calculus

Published: 28th December 1983

Volume 107. Unified Integration

Published: 1st December 1983

Volume 110. Algebra

Published: 1st November 1983

Volume 103. Semi-Riemannian Geometry With Applications to Relativity

Published: 28th June 1983 Author: Barrett O'Neill

Volume 106. Renormalization

Published: 28th April 1983

Volume 100I. Fundamentals of the Theory of Operator Algebras. V1

Published: 28th April 1983

Volume 109. Theory of Charges

Published: 28th January 1983 Authors: K.P.S. Bhaskara Rao M. Bhaskara Rao

Volume 101I. Vector Bundles - Vol 1

Published: 28th December 1982

Volume 105. Mathematical Experiments on the Computer

Published: 28th October 1982 Series Volume Editor: Author Unknown

Volume 102. System Theory

Published: 28th July 1982

Volume 97. A Panorama of Pure Mathematics, As Seen by N. Bourbaki

Published: 28th June 1982

Volume 98. Linear Orderings

Published: 1st June 1982

Volume 104. Rings That are Nearly Associative

Published: 28th January 1982

Volume 92. Quantum Mechanics in Hilbert Space

Published: 28th October 1981

Volume 96. Bounded Analytic Functions

Published: 28th August 1981

Volume 99. The Theory of Eisenstein Systems

Published: 28th January 1981

Volume 93. An Introduction to Nonharmonic Fourier Series

Published: 28th November 1980

Volume 91. Introduction to Global Analysis

Published: 28th July 1980

Volume 84. Polynomial Identities in Ring Theory

Published: 28th June 1980

Volume 89. Seifert and Threlfall, A Textbook of Topology

Published: 28th May 1980

Volume 90. The Mathematical Theory of L Systems

Published: 28th March 1980

Volume 88. An Introduction to Variational Inequalities and Their Applications

Published: 28th March 1980

Volume 1. An Introduction to Classical Complex Analysis

Published: 28th January 1980

Volume 83. Fundamentals of Maxwel's Kinetic Theory of a Simple Monatomic Gas

Published: 28th January 1980

Volume 94. Smooth Dynamical Systems

Published: 28th January 1980

Volume 86. Functional Integration and Quantum Physics

Published: 28th September 1979

Volume 80. Differential Geometry, Lie Groups, and Symmetric Spaces

Published: 28th December 1978 Author: Sigurdur Helgason

Volume 79. Set Theory

Published: 28th October 1978

Volume 75. General lattice theory

Published: 1st October 1978

Volume 76. Locally Solid Riesz Spaces

Published: 28th June 1978

Volume 81. Functional Analysis

Published: 28th January 1978

Volume 77. The Bochner Integral

Published: 28th January 1978

Volume 78. Formal Groups and Applications

Published: 28th January 1978

Volume 10E. Spectral Theory of Random Matrices

Published: 28th October 1977 Author: Vyacheslav Girko

Volume 73. Modular Representations of Finite Groups

Published: 28th January 1977

Volume 72. Introduction to the Theory of Infiniteseimals

Published: 28th November 1976

Volume 70. Ergodic Theory and Topological Dynamics

Published: 28th October 1976

Volume 66. Spectral Synthesis

Published: 28th January 1976

Volume 59B. Automata, Languages, and Machines

Published: 28th January 1976

Volume 68. Mathematical Cosmology and Extragalactic Astronomy

Published: 28th January 1976

Volume 69. Spectral Theory of Random Matrices

Published: 28th January 1976 Author: Vyacheslav Girko

Volume 63. An introduction to differentiable manifolds and Riemannian geometry

Published: 22nd August 1975 Series Volume Editor: William Boothby

Volume 65. Sobolev Spaces

Published: 28th June 1975

Volume 64. Homotopy Theory: An Introduction to Algebraic Topology

Published: 28th January 1975

Volume 62. Basic linear partial differential equations

Published: 1st January 1975

Volume 10D. Spectral Theory of Random Matrices

Published: 28th December 1974 Author: Vyacheslav Girko

Volume 61. Noneuclidean Tesselations and Their Groups

Published: 28th June 1974

Volume 59A. Automata, Languages, and Machines

Published: 28th March 1974

Volume 58. RiemannÆs zeta function

Published: 28th February 1974

Volume 57. Convex functions

Published: 8th February 1974

Volume 47B. Spectral Theory of Random Matrices

Published: 28th November 1973 Author: Vyacheslav Girko

Volume 53. Homology theory

Published: 6th June 1973

Volume 54. Differential Algebra & Algebraic Groups

Published: 28th May 1973

Volume 51. Introduction to Lie groups and Lie algebras

Published: 18th April 1973

Volume 52. Topological embeddings

Published: 30th March 1973

Volume 55. Algebraic Number Fields

Published: 28th January 1973

Volume 9. Spectral Theory of Random Matrices

Published: 28th January 1973 Author: Vyacheslav Girko

Volume 36B. Spectral Theory of Random Matrices

Published: 28th January 1973 Author: Vyacheslav Girko

Volume 56. Introduction to the Theory of Entire Functions

Published: 28th January 1973

Volume 10C. Spectral Theory of Random Matrices

Published: 28th December 1972 Author: Vyacheslav Girko

Volume 50. Symmetry Groups and Their Applications

Published: 28th December 1972

Volume 46. Introduction to Compact Transformation Groups

Published: 28th July 1972

Volume 47A. Connections, Curvature, and Cohomology V1

Published: 28th June 1972

Volume 45. Integral Matrices

Published: 28th May 1972

Volume 48. Measure and Integration Theory on Infinite-Dimensional Spaces

Published: 28th January 1972

Volume 49. Banach Algebra Techniques in Operator Theory

Published: 28th January 1972

Volume 42. An Introduction to Transform Theory

Published: 30th September 1971 Series Volume Editor: D. Widder

Volume 43. Multiplicative Theory of Ideals

Published: 28th January 1971

Volume 44. Ring Theory

Published: 28th January 1971

Volume 41. Quantum Mechanics in Hilbert Space

Published: 1st January 1971

Volume 40. Fourier analysis and approximation

Published: 1st January 1971 Series Volume Editor: Author Unknown

Volume 38. Theory of H[superscript p] spaces

Published: 31st July 1970

Volume 10B. Spectral Theory of Random Matrices

Published: 31st March 1970 Author: Vyacheslav Girko

Volume 37. Dimension Theory

Published: 28th January 1970

Volume 39. Categories and functors

Published: 1st January 1970 Series Volume Editor: Author Unknown

Volume 1. Infinite Abelian Groups

Published: 1st January 1970

Volume 32. Distributions and Fourier Transforms

Published: 1st January 1969

Volume 35. Linear lie groups

Published: 1st January 1969

Volume 31. Simplified independence proofs

Published: 1st January 1969

Volume 30. Diophantine equations

Published: 1st January 1969

Volume 34. Cohomology of groups

Published: 1st January 1969

Volume 33. Critical Point Theory in Global Analysis and Differential Topology

Published: 1st January 1969

Volume 29. Markov processes and potential theory

Published: 1st January 1968 Series Volume Editor: Author Unknown

Volume 28. Complex function theory

Published: 1st January 1968

Volume 27. The four-color problem

Published: 1st January 1967

Volume 25. Topological Vector Spaces, Distributions and Kernels

Published: 1st January 1967

Volume 24. Resolution of Singularities of Embedded Algebraic Surfaces

Published: 1st January 1966

Volume 19. Topology

Published: 1st January 1966

Volume 23. Introduction to the Theory of Algebraic Numbers and Fuctions

Published: 1st January 1966

Volume 21. Linear differential equations and function spaces

Published: 1st January 1966 Series Volume Editor: Author Unknown

Volume 22. An Introduction to Nonassociative Algebras

Published: 1st January 1966

Volume 17. Theory of Categories

Published: 1st January 1965

Volume 18. A theory of sets

Published: 1st January 1965

Volume 16. Point Set Topology

Published: 1st January 1964

Volume 14. Local analytic geometry

Published: 1st January 1964

Volume 15. Geometry of manifolds

Published: 1st January 1964

Volume 13. Spectral Theory of Random Matrices

Published: 1st January 1963 Author: Vyacheslav Girko

Volume 12. Differential geometry and symmetric spaces

Published: 1st January 1962

Volume 11. Curvature and homology

Published: 1st January 1962

Volume 8. Homotopy Theory

Published: 1st January 1959

Volume 7. Fundamental concepts of algebra

Published: 1st January 1957

Volume 6. The geometry of geodesics

Published: 1st January 1955

Volume 5. Entire functions

Published: 1st January 1954

Volume 3. Projective geometry and projective metrics

Published: 1st January 1953

Volume 4. Kernel functions and differential equations

Published: 1st January 1953

Volume 2. Linear algebra and projective geometry

Published: 1st January 1952

Volume 1. Partial Differential Equations in Physics

Published: 1st January 1949 Series Volume Editor: Arnold Sommerfeld

Volume 39. Spectral Theory of Random Matrices

Author: Vyacheslav Girko

Volume 120. An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

Author: William Boothby