From the reviews: "The present volume consists of seven introductory articles originating from an intensive series of advanced courses given by the authors at the CRM in Montreal ... . All articles are well-written by leading experts and the whole volume is an ideal starting point for anyone interested in this fascinating and modern topic at the intersection of mathematics and physics." (G. Teschl, Monatshefte fur Mathematik, Vol. 171 (3-4), September, 2013) "This volume, written by the leading experts ... provides a detailed look at many of the mathematical connections, ideas, directions, and methods that have come about since the early papers of Tracy and Widom. ... this is a very nice collection of topics, especially for someone who wants to have all the RMT basics and also the basic computations and approaches that lead to other fields at hand. It should serve as a very valuable resource." (Estelle L. Basor, Mathematical Reviews, February, 2013)

• Introduction by John HarnadPart I Random Matrices, Random Processes and Integrable ModelsChapter 1 Random and Integrable Models in Mathematics and Physics by Pierre van MoerbekeChapter 2 Integrable Systems, Random Matrices, and Random Processes by Mark Adler Part II Random Matrices and ApplicationsChapter 3 Integral Operators in Random Matrix Theory by Harold WidomChapter 4 Lectures on Random Matrix Models by Pavel M. BleherChapter 5 Large N Asymptotics in Random Matrices by Alexander R. ItsChapter 6 Formal Matrix Integrals and Combinatorics of Maps by B. EynardChapter 7 Application of Random Matrix Theory to Multivariate Statistics by Momar Dieng and Craig A. Tracy

From the reviews: "The present volume consists of seven introductory articles originating from an intensive series of advanced courses given by the authors at the CRM in Montreal ... . All articles are well-written by leading experts and the whole volume is an ideal starting point for anyone interested in this fascinating and modern topic at the intersection of mathematics and physics." (G. Teschl, Monatshefte fur Mathematik, Vol. 171 (3-4), September, 2013) "This volume, written by the leading experts ... provides a detailed look at many of the mathematical connections, ideas, directions, and methods that have come about since the early papers of Tracy and Widom. ... this is a very nice collection of topics, especially for someone who wants to have all the RMT basics and also the basic computations and approaches that lead to other fields at hand. It should serve as a very valuable resource." (Estelle L. Basor, Mathematical Reviews, February, 2013)

• Introduction by John HarnadPart I Random Matrices, Random Processes and Integrable ModelsChapter 1 Random and Integrable Models in Mathematics and Physics by Pierre van MoerbekeChapter 2 Integrable Systems, Random Matrices, and Random Processes by Mark Adler Part II Random Matrices and ApplicationsChapter 3 Integral Operators in Random Matrix Theory by Harold WidomChapter 4 Lectures on Random Matrix Models by Pavel M. BleherChapter 5 Large N Asymptotics in Random Matrices by Alexander R. ItsChapter 6 Formal Matrix Integrals and Combinatorics of Maps by B. EynardChapter 7 Application of Random Matrix Theory to Multivariate Statistics by Momar Dieng and Craig A. Tracy