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AMS Monographs, Volume 1 (1943) - 209 (2015), from American Mathematical Society (AMS)

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. These E-Books have been procured from the National Board for Higher Mathematics (NBHM) grant. You may click on any of the titles listed below to access the online version of that E-Book. Kindly note, systematic downloading of E-Books will amount to infringement of license agreement and, it may result in temporary access blockade.

E-Book Title Author(s) Editor(s) Year of Publication
Toric Topology Victor M. Buchstaber and Taras E. Panov 2015
Persistence Theory: From Quiver Representations to Data Analysis Steve Y. Oudot 2015
Foundation for PROPs, Algebras, and Modules Donald Yau and Mark W. Johnson, 2015
Grid Homology for Knots and Links Peter S. Ozsváth András I. Stipsicz Zoltán Szabó 2015
Asymptotic Geometric Analysis, Part I Shiri Artstein-Avidan, Apostolos Giannopoulos and Vitali D. Milman 2015
Fokker–Planck–Kolmogorov Equations Vladimir I. Bogachev Nicolai V. Krylov Michael Röckner Stanislav V. Shaposhnikov 2015
Ricci Flow: Techniques and Applications: Part IV: Long-Time Solutions and Relat… Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo and Lei Ni 2015
Tensor Categories Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych and Victor Ostrik 2015
Foundations of Free Noncommutative Function Theory Dmitry S. Kaliuzhnyi-Verbovetskyi and Victor Vinnikov 2014
Brauer Groups, Tamagawa Measures, and Rational Points on Algebraic Varieties Jörg Jahnel 2014
Octagonal PETs Richard Evan Schwartz 2014
Geometry of Isotropic Convex Bodies Silouanos Brazitikos Apostolos Giannopoulos Petros Valettas Beatrice-Helen Vritsiou 2014
Topological Modular Forms Christopher L. Douglas, John Francis, André G. Henriques and Michael A. Hill 2014
Complex Multiplication and Lifting Problems Ching-Li Chai, Brian Conrad and Frans Oort 2014
Nonlinear Elliptic Equations and Nonassociative Algebras Nikolai Nadirashvili Vladimir Tkachev Serge Vlăduţ 2014
Stochastic Resonance: A Mathematical Approach in the Small Noise Limit Samuel Herrmann, Peter Imkeller, Ilya Pavlyukevich and Dierk Peithmann 2014
Water Waves Problem: Mathematical Analysis and Asymptotics David Lannes 2013
Capacity Theory with Local Rationality: The Strong Fekete-Szegö Theorem on Curv… Robert Rumely 2013
Functional Inequalities: New Perspectives and New Applications Nassif Ghoussoub and Amir Moradifam 2013
Attractors for Degenerate Parabolic Type Equations Messoud Efendiev 2013
Introduction to Quantum Graphs Gregory Berkolaiko and Peter Kuchment 2013
Introduction to Central Simple Algebras and Their Applications to Wireless Comm… Grégory Berhuy and Frédérique Oggier 2013
Diffeology Patrick Iglesias-Zemmour 2013
Birationally Rigid Varieties Aleksandr Pukhlikov 2013
Gradings on Simple Lie Algebras Alberto Elduque and Mikhail Kochetov 2013
Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic … Gershon Kresin and Vladimir Maz’ya 2012
Introduction to Heat Potential Theory Neil A. Watson 2012
Cohen-Macaulay Representations Graham J. Leuschke and Roger Wiegand 2012
Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras Martin W. Liebeck and Gary M. Seitz 2012
Ubiquitous Quasidisk Frederick W. Gehring and Kari Hag 2012
Classification of Finite Simple Groups: Groups of Characteristic 2 Type Michael Aschbacher, Richard Lyons, Stephen D. Smith and Ronald Solomon 2011
Non-commutative Cryptography and Complexity of Group-theoretic Problems Alexei Myasnikov, Vladimir Shpilrain and Alexander Ushakov 2011
Eigenvalue Distribution of Large Random Matrices Leonid Pastur and Mariya Shcherbina 2011
Nonautonomous Dynamical Systems Peter E. Kloeden and Martin Rasmussen 2011
Renormalization and Effective Field Theory Kevin Costello 2011
Algebraic Design Theory Warwick de Launey and Dane Flannery 2011
Hereditary Noetherian Prime Rings and Idealizers Lawrence S. Levy and J. Chris Robson 2011
Subgroup complexes Stephen D. Smith 2011
Geometric Approximation Algorithms Sariel Har-Peled 2011
Quadrature Theory: The Theory of Numerical Integration on a Compact Interval Helmut Brass and Knut Petras 2011
Mathematical Scattering Theory: Analytic Theory D. R. Yafaev 2010
Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspect Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo and Lei Ni 2010
Algebras, Rings and Modules: Lie Algebras and Hopf Algebras Michiel Hazewinkel, Nadiya Gubareni and V. V. Kirichenko 2010
Random Walk Intersections: Large Deviations and Related Topics Xia Chen 2010
Elliptic Equations in Polyhedral Domains Vladimir Maz′ya and Jürgen Rossmann 2010
Cluster Algebras and Poisson Geometry Michael Gekhtman, Michael Shapiro and Alek Vainshtein 2010
Morse Theoretic Aspects of p-Laplacian Type Operators Kanishka Perera, Ravi P. Agarwal, and Donal O’Regan 2010
Seifert Fiberings Kyung Bai Lee and Frank Raymond 2010
Global Aspects of Ergodic Group Actions Alexander S. Kechris 2010
Nonlocal Diffusion Problems Fuensanta Andreu-Vaillo, José M. Mazón, Julio D. Rossi J. and Julián Toledo-Melero 2010
Potential Theory and Dynamics on the Berkovich Projective Line Matthew Baker and Robert Rumely 2010
Differentiable Measures and the Malliavin Calculus Vladimir I. Bogachev 2010
Connective Real K-Theory of Finite Groups Robert R. Bruner and J. P. C. Greenlees 2010
Combinatorial Geometry and Its Algorithmic Applications: The Alcalá Lectures János Pach and Micha Sharir 2009
Nonlinear Dispersive Equations: Existence and Stability of Solitary and Periodi… Jaime Angulo Pava 2009
Descriptive Set Theory: Second Edition Yiannis N. Moschovakis 2009
Parabolic Geometries I: Background and General Theory Andreas Čap and Jan Slovák 2009
Layer Potential Techniques in Spectral Analysis Habib Ammari, Hyeonbae Kang and Hyundae Lee 2009
Classifying Spaces of Sporadic Groups David J. Benson and Stephen D. Smith 2008
Positive Polynomials and Sums of Squares Murray Marshall 2008
Geometry of Heisenberg Groups: With Applications in Signal Theory, Optics, Quan… Ernst Binz and Sonja Pods 2008
Simple Groups of Finite Morley Rank Tuna Altınel, Alexandre V. Borovik and Gregory Cherlin 2008
Finite Dimensional Algebras and Quantum Groups Bangming Deng, Jie Du, Brian Parshall and Jianpan Wang 2008
Ricci Flow: Techniques and Applications: Part II: Analytic Aspects Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo and Lei Ni 2008
Quantum Field Theory: A Tourist Guide for Mathematicians Gerald B. Folland 2008
Ordering Braids Patrick Dehornoy, Ivan Dynnikov,Dale Rolfsen and Bert Wiest 2008
Crossed Products of C∗-Algebras Dana P. Williams 2007
Harmonic Analysis on Commutative Spaces Joseph A. Wolf 2007
Approximate Approximations Vladimir Maz ′ ′ya and Gunther Schmidt 2007
Foliations in Cauchy-Riemann Geometry Elisabetta Barletta, Sorin Dragomir and Krishan L. Duggal 2007
Algebraic Geometric Codes: Basic Notions Michael Tsfasman, Serge Vlǎduţ, and Dmitry Nogin 2007
Control and Nonlinearity Jean-Michel Coron 2007
Operator Theory in Function Spaces: Second Edition Kehe Zhu 2007
Ricci Flow: Techniques and Applications: Part I: Geometric Aspects Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lu Feng Luo and Lei Ni 2007
Yangians and Classical Lie Algebras Alexander Molev 2007
Systolic Geometry and Topology Mikhail G. Katz 2007
Valuations, Orderings, and Milnor K-Theory Ido Efrat 2006
Steenrod Squares in Spectral Sequences William M. Singer 2006
Traces of Hecke Operators Andrew Knightly and Charles Li 2006
Painlevé Transcendents: The Riemann-Hilbert Approach Athanassios S. Fokas, Alexander R. Its, Andrei A. Kapaev and Victor Yu. Novokshenov 2006
Parametrized Homotopy Theory J. P. May and J. Sigurdsson 2006
Chaotic Billiards Nikolai Chernov and Roberto Markarian 2006
Large Deviations for Stochastic Processes Jin Feng and Thomas G. Kurtz 2006
Gradient Inequalities: with Applications to Asymptotic Behavior and Stability o… Sen-Zhong Huang 2006
Large Deviations for Stochastic Processes Jin Feng and Thomas G. Kurtz 2006
Cauchy Transform Joseph A. Citna, Alec L. Matheson and William T. Ross 2006
Isometric Embedding of Riemannian Manifolds in Euclidean Spaces Qing Han and Jia-Xing Hong 2006
Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics Tian Ma and Shouhong Wang 2005
Arithmetic Differential Equations Alexandru Buium 2005
Fundamental Algebraic Geometry: Grothendieck’s FGA Explained Barbara Fantechi, Lothar Gottsche, Luc lllusie, Steven L. Kleiman, Nitin Nitsure and AngeloVistoli 2005
Classification of the Finite Simple Groups, Number 6, Part 6: Part IV: The Spec… Daniel Gorenstein, Richard Lyons and Ronald Solomon 2005
Self-Similar Groups Volodymyr Nekrashevych 2005
Polynomial Identities and Asymptotic Methods Antonio Giambruno and Mikhail Zaicev 2005
Fourier Analysis in Convex Geometry Alexander Koldobsky 2005
Sturm-Liouville Theory Anton Zettl 2005
Advanced Analytic Number Theory: L-Functions Carlos Julio Moreno 2005
Trace Ideals and Their Applications, Second edition Barry Simon 2005
Conformally Invariant Processes in the Plane Gregory F. Lawler 2005
Topology of Closed One-Forms Michael Farber 2004
Homotopy Limit Functors on Model Categories and Homotopical Categories William G. Dwyer, Philip S. Hirschhorn, Daniel M. Kan and Jeffrey H. Smith 2004
Classification of Quasithin Groups: II. Main Theorems: The Classification of Si… Michael Aschbacher and Stephen D. Smith 2004
Michael Aschbache and Stephen D. Smith 2004
Ricci Flow: An Introduction Bennett Chow and Dan Knopf 2004
Arithmetic and Analytic Theories of Quadratic Forms and Clifford Groups Goro Shimura 2004
Lusternik-Schnirelmann Category Octav Cornea, Gregory Lupton, John Oprea and Daniel Tan re 2003
Representations of Algebraic Groups, Second edition Jens Carsten Jantzen 2003
Absolute CM-Periods Hiroyuki Yoshida 2003
Charalambos D. Aliprantis and Owen Burkinshaw 2003
Recurrence Sequences Graham Everest, Alf van der Poorten, Igor Shparlinski and Thomas Ward 2003
Classification of the Finite Simple Groups, Number 5, Part 5 Daniel Gorenstein, Richard Lyons and Ronald Solomon 2002
Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Gro… A. Borel and N. Wallach 2000
Model Categories Mark Hovey 1999
Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Qu… W. Norrie Everitt and Lawrence Markus 1999
Nonlocal Bifurcations Yu. Ilyashenko and Weigu Li 1999
Rings and Things and a Fine Array of Twentieth Century Associative Algebra, Sec… Carl Faith 1999
Classification of the Finite Simple Groups, Number 4, Part 4: Part II, Chapters… Daniel Gorenstein, Richard Lyons and Ronald Solomon 1999
Mixed Motives Marc Levine 1998
Gaussian Measures Vladimir I. Bogachev 1998
Algebras of Functions on Quantum Groups: Part I Leonid I. Korogodski and Yan S. Soibelman 1998
Knotted Surfaces and Their Diagrams J. Scott Carter and Masahico Saito 1998
Morita Equivalence and Continuous-Trace C ∗ C∗-Algebras Iain Raeburn and Dana P. Williams 1998
Consequences of the Axiom of Choice Paul Howard and Jean E. Rubin 1998
Stochastic Partial Differential Equations: Six Perspectives Rene A. Carmona and Boris Rozovskii 1998
Classification of the Finite Simple Groups, Number 3, Part 3 Daniel Gorenstein, Richard Lyons and Ronald Solomon 1998
Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations Pavel I. Etingof, Igor B. Frenkel and Alexander A. Kirillov, Jr. 1998
Rings, Modules, and Algebras in Stable Homotopy Theory A. D. Elmendorf, I. Kriz, M. A. Mandell and J. P. May 1997
Elliptic Boundary Value Problems in Domains with Point Singularities V. A. Kozlov, V. G. Maz ′ ′ya and J. Rossmann 1997
Symmetric Inverse Semigroups Stephen Lipscomb 1997
Fine Regularity of Solutions of Elliptic Partial Differential Equations Jan Malý and William P. Ziemer 1997
Introduction to Infinite Ergodic Theory Jon Aaronson 1997
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations R. E. Showalter 1997
Homeomorphisms in Analysis Casper Goffman, Togo Nishiura and Daniel Waterman 1997
Integer-Valued Polynomials Paul-Jean Cahen and Jean-Luc Chabert 1997
Convenient Setting of Global Analysis Andreas Kriegl and Peter W. Michor 1997
Classification of the Finite Simple Groups, Number 2, Part 2 Daniel Gorenstein, Richard Lyons and Ronald Solomon 1996
Cogroups and Co-rings in Categories of Associative Rings George M. Bergman and Adam O. Hausknecht 1996
Fundamental Groups of Compact Kähler Manifolds J. Amoros, M. Burger, K. Corlette, D. Kotschick and D.Toledo 1996
Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Co… Hal L. Smith 1995
Conjugacy Classes in Semisimple Algebraic Groups James E. Humphreys 1995
Free Lattices Ralph Freese, Jaroslav Jezek and J. B. Nation 1995
Classification of the Finite Simple Groups, Part 1 Daniel Gorenstein, Richard Lyons and Ronald Solomon 1994
Geometric Analysis on Symmetric Spaces, Second edition Sigurdur Helgason 1994
Analysis of and on Uniformly Rectifiable Sets Guy David and Stephen Semmes 1993
Theory of Subnormal Operators John B. Conway 1991
Structural Properties of Polylogarithms Leonard Lewin 1991
Algebraic Geometry for Scientists and Engineers Shreeram S. Abhyankar 1990
Vladimir G. Berkovich Victor Isakov 1990
Spectral Theory and Analytic Geometry over Non-Archimedean Fields Vladimir G. Berkovich 1990
Introduction to CR Structures Howard Jacobowitz 1990
Markoff and Lagrange Spectra Thomas W. Cusick and Mary E. Flahive 1989
Representation Theory and Harmonic Analysis on Semisimple Lie Groups Paul J. Sally, Jr. and David A. Vogan, Jr 1989
Asymptotic Behavior of Dissipative Systems Jack K. Hale 1988
Amenability Alan L. T. Paterson 1988
Direct and Inverse Scattering on the Line Richard Beals, Percy Deift and Carlos Tomei 1988
Basic Hypergeometric Series and Applications Nathan J. Fine 1988
Operator Theory and Arithmetic in H ∞ Hari Bercovici 1988
Noetherian Rings and Their Applications Lance W. Small 1987
Partially Ordered Abelian Groups with Interpolation Kenneth R. Goodearl 1986
Introduction to Various Aspects of Degree Theory in Banach Spaces E. H. Rothe 1986
Noncommutative Harmonic Analysis Michael E. Taylor 1986
Bieberbach Conjecture: Proceedings of the Symposium on the Occasion of the Proof Albert Baernstein II, David Drasin, Peter Duren and Albert Marden 1986
Contributions to the Theory of Transcendental Numbers Gregory V. Chudnovsky 1984
Essentials of Brownian Motion and Diffusion Frank B. Knight 1981
Approximation by Polynomials with Integral Coefficients Le Baron O. Ferguson 1980
Symplectic Groups O. T. O'Meara 1978
Geometric Asymptotics, Revised edition V. Guillemin and S. Sternberg 1977
Vector Measures J. Diestel and J. J. Uhl Jr. 1977
Topics in Operator Theory Carl Pearcy 1974
Algebraic Theory of Semigroups, Volume II, Part 2 A. H. Clifford and G. B. Preston 1967
Discontinuous Groups and Automorphic Functions Joseph Lehner 1964
Uniform Spaces J. R. Isbell 1964
Fixed Points and Topological Degree in Nonlinear Analysis Jane Cronin 1964
Linear Approximation Arthur Sard 1963
Introduction to the Analytic Theory of Numbers Raymond Ayoub 1963
Algebraic Theory of Semigroups, Volume I, Part 1 A. H. Clifford and G. B. Preston 1961
Introduction to the Theory of Algebraic Functions of One Variable Claude Chevalley 1951
Kernel Function and Conformal Mapping Stefan Bergman 1950
Theory of Valuations O. F. G. Schilling 1950
Geometry of Polynomials Morris Marden 1949
Theory of Rings Nathan Jacobson 1943
Problem of Moments J. A. Shohat and J. D. Tamarkin 1943

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