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Mathematical Surveys and Monographs

This series of high-level monographs is designed to meet the need for detailed expositions in current research fields. Each volume in the Mathematical Surveys and Monographs series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems.

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Traces of Hecke Operators - Andrew Knightly, University of Maine, Orono, ME and Charles Li, Academia Sinica, Taipei, Taiwan


Parametrized Homotopy Theory - J. P. May, The University of Chicago, Chicago, IL and J. Sigurdsson, University of Sheffield, Sheffield, England


Large Deviations for Stochastic Processes - Jin Feng, University of Kansas, Lawrence, KS and Thomas G. Kurtz, University of Wisconsin at Madison, Madison, WI


Isometric Embedding of Riemannian Manifolds in Euclidean Spaces - Qing Han, University of Notre Dame, Notre Dame, IN and Jia-Xing Hong, Fudan University, Shanghai, China


Steenrod Squares in Spectral Sequences - William M. Singer, Fordham University, Bronx, NY


Painlevé Transcendents: The Riemann-Hilbert Approach - Athanassios S. Fokas, Cambridge University, Cambridge, United Kingdom, Alexander R. Its, Indiana University-Purdue University Indianapolis, Indianapolis, IN, Andrei A. Kapaev and Victor Yu. Novokshenov, Russian Academy of Sciences, Ufa, Russia


Chaotic Billiards - Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL and Roberto Markarian, Universidad de la República, Montevideo, Uruguay


Gradient Inequalities: with Applications to Asymptotic Behavior and Stability of Gradient-like Systems - Sen-Zhong Huang, Universität Rostock, Rostock, Germany


The Cauchy Transform - Joseph A. Cima, University of North Carolina, Chapel Hill, Chapel Hill, NC, Alec L. Matheson, Lamar University, Beaumont, TX and William T. Ross, University of Richmond, Richmond, VA


Valuations, Orderings, and Milnor $K$-Theory - Ido Efrat, Ben-Gurion University of the Negev, Be’er-Sheva, Israel