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Advances in Soviet Mathematics

Each volume in Advances in Soviet Mathematics is compiled by a leading specialist in a particular area of mathematics and consists of high-quality articles written by world-class mathematicians from Russia. Titles published after Volume 21 appear as a subseries (now entitled Advances in the Mathematical Sciences) in the book series, American Mathematical Society Translations Series 2. (ISSN 1051-8037) Hardcover.

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AMS TextbooksAMS Applications-related Books



Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012-2014 - V. M. Buchstaber, Steklov Institute of Mathematics, B. A. Dubrovin, SISSA, and I. M. Krichever, Columbia University, Editors - AMS, 2014, approx. 387 pp., Hardcover, ISBN-10: 1-4704-1871-1, ISBN-13: 978-1-4704-1871-7, List: US$199, All AMS Members: US$159.20, TRANS2/234
 
Spectral Theory and Differential Equations: V. A. Marchenko's 90th Anniversary Collection - E. Khruslov, L. Pastur, and D. Shepelsky, B. Verkin Institute for Low Temperature Physics and Engineering, Editors - AMS, 2014, 251 pp., Hardcover, ISBN-10: 1-4704-1683-2, ISBN-13: 978-1-4704-1683-6, List: US$131, All AMS Members: US$104.80, TRANS2/233
 
Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008) - Michael Levitin, Reading University, and Dmitri Vassiliev, University College London, Editors - AMS, 2010, 180 pp., Hardcover, ISBN-10: 0-8218-5272-8, ISBN-13: 978-0-8218-5272-9, List: US$99, All AMS Members: US$79.20, TRANS2/231
 
Nonlinear Partial Differential Equations and Related Topics: Dedicated to Nina N. Uraltseva - Arina A. Arkhipova and Alexander I. Nazarov, St. Petersburg State University, Editors - AMS, 2010, 252 pp., Hardcover, ISBN-10: 0-8218-4997-2, ISBN-13: 978-0-8218-4997-2, List: US$119, All AMS Members: US$95.20, TRANS2/229
 
Linear and Complex Analysis: Dedicated to V. P. Havin on the Occasion of His 75th Birthday - Alexei Alexandrov, Steklov Mathematical Institute at St. Petersburg, Anton Baranov, Saint Petersburg State University, and Sergey Kislyakov, Steklov Mathematical Institute at St. Petersburg, Editors - AMS, 2009, 254 pp., Hardcover, ISBN-10: 0-8218-4801-1, ISBN-13: 978-0-8218-4801-2, List: US$109, All AMS Members: US$87.20, TRANS2/226
 
Spectral Theory of Differential Operators: M. Sh. Birman 80th Anniversary Collection - T. Suslina, St. Petersburg State University, and D. Yafaev, Université de Rennes I, Editors - AMS, 2008, 299 pp., Hardcover, ISBN-10: 0-8218-4738-4, ISBN-13: 978-0-8218-4738-1, List: US$112, All AMS Members: US$89.60, TRANS2/225
 
Geometry, Topology, and Mathematical Physics: S. P. Novikov's Seminar: 2006-2007 - V. M. Buchstaber, Steklov Institute of Mathematics, and I. M. Krichever, Columbia University, Editors - AMS, 2008, 284 pp., Hardcover, ISBN-10: 0-8218-4674-4, ISBN-13: 978-0-8218-4674-2, List: US$112, All AMS Members: US$89.60, TRANS2/224
 
Moscow Seminar on Mathematical Physics, II - Yu. Neretin, M. Olshanetsky, and A. Rosly, Institute for Theoretical and Experimental Physics, Editors - AMS, 2007, 211 pp., Hardcover, ISBN-10: 0-8218-4371-0, ISBN-13: 978-0-8218-4371-0, List: US$112, All AMS Members: US$89.60, TRANS2/221
 
Nonlinear Equations and Spectral Theory - M. S. Birman and N. N. Uraltseva, St. Petersburg State University, Editors - AMS, 2007, 246 pp., Hardcover, ISBN-10: 0-8218-4209-9, ISBN-13: 978-0-8218-4209-6, List: US$112, All AMS Members: US$89.60, TRANS2/220
 
Representation Theory, Dynamical Systems, and Asymptotic Combinatorics - V. Kaimanovich, International University, Bremen, and A. Lodkin, St. Petersburg State University, Editors - AMS, 2006, 246 pp., Hardcover, ISBN-10: 0-8218-4208-0, ISBN-13: 978-0-8218-4208-9, List: US$112, All AMS Members: US$89.60, TRANS2/217
 
Quantum Algebras and Poisson Geometry in Mathematical Physics - M. V. Karasev, Moscow Institute of Electronics and Mathematics, Editor - AMS, 2005, 277 pp., Hardcover, ISBN-10: 0-8218-4040-1, ISBN-13: 978-0-8218-4040-5, List: US$120, All AMS Members: US$96, TRANS2/216
 
Lie Groups and Invariant Theory - Ernest Vinberg, Moscow State University, Editor - AMS, 2005, 270 pp., Hardcover, ISBN-10: 0-8218-3733-8, ISBN-13: 978-0-8218-3733-7, List: US$120, All AMS Members: US$96, TRANS2/213
 
Geometry, Topology, and Mathematical Physics - V. M. Buchstaber, Steklov Mathematical Institute, Russian Academy of Sciences, and I. M. Krichever, Columbia University, and Institute for Theoretical and Experimental Physics, Editors - AMS, 2004, 324 pp., Hardcover, ISBN-10: 0-8218-3613-7, ISBN-13: 978-0-8218-3613-2, List: US$131, All AMS Members: US$104.80, TRANS2/212
 
Lie Groups and Symmetric Spaces: In Memory of F. I. Karpelevich - S. G. Gindikin, Rutgers University, Editor - AMS, 2003, 355 pp., Hardcover, ISBN-10: 0-8218-3472-X, ISBN-13: 978-0-8218-3472-5, List: US$131, All AMS Members: US$104.80, TRANS2/210
 
Asymptotic Methods for Wave and Quantum Problems - M. V. Karasev, Moscow Institute of Electronics and Mathematics, Editor - AMS, 2003, 284 pp., Hardcover, ISBN-10: 0-8218-3336-7, ISBN-13: 978-0-8218-3336-0, List: US$135, All AMS Members: US$108, TRANS2/208
 
Analytic Methods in Applied Probability: In Memory of Fridrikh Karpelevich - Yu. M. Suhov, University of Cambridge, and Institute for Information Transmission Problems, Editor - AMS, 2002, 217 pp., Hardcover, ISBN-10: 0-8218-3306-5, ISBN-13: 978-0-8218-3306-3, List: US$114, All AMS Members: US$91.20, TRANS2/207
 
Partial Differential Equations - M. S. Agranovich, Moscow Institute of Electronics and Mathematics, and M. A. Shubin, Northeastern University, Editors - AMS, 2002, 278 pp., Hardcover, ISBN-10: 0-8218-3303-0, ISBN-13: 978-0-8218-3303-2, List: US$126, All AMS Members: US$100.80, TRANS2/206
 
Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin's Memorial - V. Turaev, Université Louis Pasteur--CNRS, and A. Vershik, Steklov Mathematical Institute, Editors - AMS, 2001, 286 pp., Hardcover, ISBN-10: 0-8218-2740-5, ISBN-13: 978-0-8218-2740-6, List: US$138, All AMS Members: US$110.40, TRANS2/202
 
L. D. Faddeev's Seminar on Mathematical Physics - Michael Semenov-Tian-Shansky, Steklov Mathematical Institute, Editor - AMS, 2000, 321 pp., Hardcover, ISBN-10: 0-8218-2133-4, ISBN-13: 978-0-8218-2133-6, List: US$126, All AMS Members: US$100.80, TRANS2/201
 
Methods of Qualitative Theory of Differential Equations and Related Topics - L. Lerman, Research Institute for Applied Mathematics and Cybernetics, G. Polotovskiĭ, Nizhnii Novgorod State University, and L. Shilnikov, Research Institute for Applied Mathematics and Cybernetics, Editors - AMS, 2000, 196 pp., Hardcover, ISBN-10: 0-8218-2663-8, ISBN-13: 978-0-8218-2663-8, List: US$103, All AMS Members: US$82.40, TRANS2/200
 
On Dobrushin's Way. From Probability Theory to Statistical Physics - R. A. Minlos, Russian Academy of Sciences, Senya Shlosman, CPT/CNRS, and Yu. M. Suhov, Russian Academy of Sciences, Editors - AMS, 2000, 243 pp., Hardcover, ISBN-10: 0-8218-2150-4, ISBN-13: 978-0-8218-2150-3, List: US$114, All AMS Members: US$91.20, TRANS2/198
 
Pseudoperiodic Topology - Vladimir Arnold, University of Paris IX, Maxim Kontsevich, IHES, and Anton Zorich, University of Rennes I, Editors - AMS, 1999, 178 pp., Hardcover, ISBN-10: 0-8218-2094-X, ISBN-13: 978-0-8218-2094-0, List: US$98, All AMS Members: US$78.40, TRANS2/197
 
Northern California Symplectic Geometry Seminar - Ya. Eliashberg, Stanford University, D. Fuchs, University of California, Davis, T. Ratiu, Ecole Polytechnique Federale de Lausanne, and A. Weinstein, University of California, Berkeley, Editors - AMS, 1999, 258 pp., Hardcover, ISBN-10: 0-8218-2075-3, ISBN-13: 978-0-8218-2075-9, List: US$110, All AMS Members: US$88, TRANS2/196
 
Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs' 60th Anniversary Collection - Alexander Astashkevich, Renaissance Technologies, and Serge Tabachnikov, University of Arkansas, Editors - AMS, 1999, 313 pp., Hardcover, ISBN-10: 0-8218-2032-X, ISBN-13: 978-0-8218-2032-2, List: US$126, All AMS Members: US$100.80, TRANS2/194
 
Moscow Seminar in Mathematical Physics - A. Yu. Morozov and M. A. Olshanetsky, Institute of Theoretical and Experimental Physics, Editors - AMS, 1999, 299 pp., Hardcover, ISBN-10: 0-8218-1388-9, ISBN-13: 978-0-8218-1388-1, List: US$128, All AMS Members: US$102.40, TRANS2/191
 
Differential and Symplectic Topology of Knots and Curves - S. Tabachnikov, University of Arkansas at Fayetteville, Editor - AMS, 1999, 286 pp., Hardcover, ISBN-10: 0-8218-1354-4, ISBN-13: 978-0-8218-1354-6, List: US$114, All AMS Members: US$91.20, TRANS2/190
 
Differential Operators and Spectral Theory: M. Sh. Birman's 70th Anniversary Collection - V. Buslaev, St. Petersburg State University, M. Solomyak, Weizmann Institute of Science, and D. Yafaev, Rennes University, Editors - AMS, 1999, 285 pp., Hardcover, ISBN-10: 0-8218-1387-0, ISBN-13: 978-0-8218-1387-4, List: US$114, All AMS Members: US$91.20, TRANS2/189
 
Coherent Transform, Quantization, and Poisson Geometry - M. V. Karasev, Moscow Institute of Electronics and Mathematics, Editor - AMS, 1998, 360 pp., Hardcover, ISBN-10: 0-8218-1178-9, ISBN-13: 978-0-8218-1178-8, List: US$145, All AMS Members: US$116, TRANS2/187
 
Geometry of Differential Equations - A. Khovanskiĭ, Russian Academy of Sciences, A. Varchenko, University of North Carolina, Chapel Hill, and V. Vassiliev, Editors - AMS, 1998, 194 pp., Hardcover, ISBN-10: 0-8218-1094-4, ISBN-13: 978-0-8218-1094-1, List: US$108, All AMS Members: US$86.40, TRANS2/186
 
Topics in Quantum Groups and Finite-Type Invariants: Mathematics at the Independent University of Moscow - B. Feigin and V. Vassiliev, Independent University of Moscow, Editors - AMS, 1998, 182 pp., Hardcover, ISBN-10: 0-8218-1084-7, ISBN-13: 978-0-8218-1084-2, List: US$108, All AMS Members: US$86.40, TRANS2/185
 
Voronezh Winter Mathematical Schools: Dedicated to Selim Krein - Peter Kuchment, Wichita State University, and Vladimir Lin, Technion--Israel Institute of Technology, Editors - AMS, 1998, 263 pp., Hardcover, ISBN-10: 0-8218-0976-8, ISBN-13: 978-0-8218-0976-1, List: US$120, All AMS Members: US$96, TRANS2/184
 
Nonlinear Waves and Weak Turbulence - V. E. Zakharov, Landau Institute for Theoretical Physics, Editor - AMS, 1998, 197 pp., Hardcover, ISBN-10: 0-8218-4113-0, ISBN-13: 978-0-8218-4113-6, List: US$108, All AMS Members: US$86.40, TRANS2/182 [app-math-logo]
 
Kirillov's Seminar on Representation Theory - G. I. Olshanski, Institute for Problems of Information Transmission, Editor - AMS, 1998, 271 pp., Hardcover, ISBN-10: 0-8218-0669-6, ISBN-13: 978-0-8218-0669-2, List: US$120, All AMS Members: US$96, TRANS2/181
 
Topics in Singularity Theory: V. I. Arnold's 60th Anniversary Collection - A. Khovanskiĭ, University of Toronto, ON, Canada, A. Varchenko, University of North Carolina, Chapel Hill, and V. Vassiliev, Steklov Mathematical Institute, Moscow, Russia, Editors - AMS, 1997, 255 pp., Hardcover, ISBN-10: 0-8218-0807-9, ISBN-13: 978-0-8218-0807-8, List: US$108, All AMS Members: US$86.40, TRANS2/180
 
Solitons, Geometry, and Topology: On the Crossroad - V. M. Buchstaber, Moscow State University, and S. P. Novikov, University of Maryland, Editors - AMS, 1997, 189 pp., Hardcover, ISBN-10: 0-8218-0666-1, ISBN-13: 978-0-8218-0666-1, List: US$108, All AMS Members: US$86.40, TRANS2/179
 
Topics in Statistical and Theoretical Physics - R. L. Dobrushin and R. A. Minlos, Institute for Information Transmission Problems, M. A. Shubin, Northeastern University, and A. M. Vershik, Russian Academy of Sciences, Editors - AMS, 1996, 223 pp., Hardcover, ISBN-10: 0-8218-0425-1, ISBN-13: 978-0-8218-0425-4, List: US$120, All AMS Members: US$96, TRANS2/177 [app-math-logo]
 
Contemporary Mathematical Physics - R. L. Dobrushin and R. A. Minlos, Institute of Information Transmission Problems, M. A. Shubin, Northeastern University, and A. M. Vershik, Russian Academy of Sciences, Editors - AMS, 1996, 236 pp., Hardcover, ISBN-10: 0-8218-0426-X, ISBN-13: 978-0-8218-0426-1, List: US$120, All AMS Members: US$96, TRANS2/175
 
Mathematics in St. Petersburg - A. A. Bolibruch, Steklov Institute of Mathematics, A. S. Merkur'ev, University of Franche-Comte, and N. Yu. Netsvetaev, St. Petersburg State University, Editors - AMS, 1996, 273 pp., Hardcover, ISBN-10: 0-8218-0559-2, ISBN-13: 978-0-8218-0559-6, List: US$120, All AMS Members: US$96, TRANS2/174
 
Topology of real algebraic varieties and related topics - V Kharlamov, A Korchagin, G Polotovskiĭ, and O Viro, Editors - AMS, 1996, 264 pp., Hardcover, ISBN-10: 0-8218-0555-X, ISBN-13: 978-0-8218-0555-8, List: US$120, All AMS Members: US$96, TRANS2/173
 
Sinai's Moscow Seminar on Dynamical Systems - L. A. Bunimovich, Georgia Institute of Technology, B. M. Gurevich, Moscow State University, and Ya. B. Pesin, Pennsylvania State University, Editors - AMS, 1996, 247 pp., Hardcover, ISBN-10: 0-8218-0456-1, ISBN-13: 978-0-8218-0456-8, List: US$116, All AMS Members: US$92.80, TRANS2/171
 
Topics in Topology and Mathematical Physics - S. P. Novikov, Editor - AMS, 1995, 206 pp., Hardcover, ISBN-10: 0-8218-0455-3, ISBN-13: 978-0-8218-0455-1, List: US$108, All AMS Members: US$86.40, TRANS2/170
 
Lie Groups and Lie Algebras: E. B. Dynkin's Seminar - S. G. Gindikin and E. B. Vinberg, Editors - AMS, 1995, 202 pp., Hardcover, ISBN-10: 0-8218-0454-5, ISBN-13: 978-0-8218-0454-4, List: US$108, All AMS Members: US$86.40, TRANS2/169
 
Dynamical Systems in Classical Mechanics - V. V. Kozlov, Editor - AMS, 1995, 254 pp., Hardcover, ISBN-10: 0-8218-0427-8, ISBN-13: 978-0-8218-0427-8, List: US$120, All AMS Members: US$96, TRANS2/168
 
The Interplay between Differential Geometry and Differential Equations - V. V. Lychagin, Editor - AMS, 1995, 294 pp., Hardcover, ISBN-10: 0-8218-0428-6, ISBN-13: 978-0-8218-0428-5, List: US$119, All AMS Members: US$95.20, TRANS2/167
 
Concerning the Hilbert 16th Problem - Yu. Ilyashenko and S. Yakovenko, Editors - AMS, 1995, 219 pp., Hardcover, ISBN-10: 0-8218-0362-X, ISBN-13: 978-0-8218-0362-2, List: US$116, All AMS Members: US$92.80, TRANS2/165
 
Nonlinear Evolution Equations - N. N. Uraltseva, Editor - AMS, 1995, 220 pp., Hardcover, ISBN-10: 0-8218-4123-8, ISBN-13: 978-0-8218-4123-5, List: US$116, All AMS Members: US$92.80, TRANS2/164
 
Singularities and Bifurcations - V. I. Arnold, Editor - AMS, 1994, 262 pp., Hardcover, ISBN-10: 0-8218-0237-2, ISBN-13: 978-0-8218-0237-3, List: US$122, All AMS Members: US$97.60, ADVSOV/21
 
Probability Contributions to Statistical Mechanics - R. L. Dobrushin, Editor - AMS, 1994, 289 pp., Hardcover, ISBN-10: 0-8218-4120-3, ISBN-13: 978-0-8218-4120-4, List: US$122, All AMS Members: US$97.60, ADVSOV/20
 
Spectral Operator Theory and Related Topics - V. A. Marchenko, Editor - AMS, 1994, 286 pp., Hardcover, ISBN-10: 0-8218-4122-X, ISBN-13: 978-0-8218-4122-8, List: US$122, All AMS Members: US$97.60, ADVSOV/19
 
Topology of Manifolds and Varieties - Oleg Viro, Editor - AMS, 1994, 284 pp., Hardcover, ISBN-10: 0-8218-4124-6, ISBN-13: 978-0-8218-4124-2, List: US$122, All AMS Members: US$97.60, ADVSOV/18
 
Unconventional Lie Algebras - Dmitry Fuchs, Editor - AMS, 1993, 216 pp., Hardcover, ISBN-10: 0-8218-4121-1, ISBN-13: 978-0-8218-4121-1, List: US$128, All AMS Members: US$102.40, ADVSOV/17
 
I. M. Gelfand Seminar - Sergei Gelfand and Simon Gindikin, Editors - AMS, 1993, 208 pp., Hardcover, ISBN-10: 0-8218-4119-X, ISBN-13: 978-0-8218-4119-8, List: US$79, All AMS Members: US$63.20, ADVSOV/16.2
 
I. M. Gelfand Seminar - Sergei Gelfand and Simon Gindikin, Editors - AMS, 1993, 241 pp., Hardcover, ISBN-10: 0-8218-4118-1, ISBN-13: 978-0-8218-4118-1, List: US$87, All AMS Members: US$69.60, ADVSOV/16.1
 
I. M. Gelfand Seminar - Sergei Gelfand and Simon Gindikin, Editors - AMS, 1993, 449 pp., Hardcover, ISBN-10: 0-8218-4117-3, ISBN-13: 978-0-8218-4117-4, List: US$156, All AMS Members: US$124.80, ADVSOV/16
 
Minimal Surfaces - A. T. Fomenko, Editor - AMS, 1993, 342 pp., Hardcover, ISBN-10: 0-8218-4116-5, ISBN-13: 978-0-8218-4116-7, List: US$167, All AMS Members: US$133.60, ADVSOV/15
 
Nonlinear Stokes Phenomena - Yu. S. Il'yashenko, Editor - AMS, 1993, 287 pp., Hardcover, ISBN-10: 0-8218-4112-2, ISBN-13: 978-0-8218-4112-9, List: US$141, All AMS Members: US$112.80, ADVSOV/14
 
Idempotent Analysis - V. P. Maslov and S. N. Samborskiĭ, Editors - AMS, 1992, 210 pp., Hardcover, ISBN-10: 0-8218-4114-9, ISBN-13: 978-0-8218-4114-3, List: US$131, All AMS Members: US$104.80, ADVSOV/13
 
Topics in Nonparametric Estimation - R. Z. Khasminskiĭ, Editor - AMS, 1992, 150 pp., Hardcover, ISBN-10: 0-8218-4111-4, ISBN-13: 978-0-8218-4111-2, List: US$120, All AMS Members: US$96, ADVSOV/12
 
Entire and Subharmonic Functions - B. Ya. Levin, Editor - AMS, 1992, 275 pp., Hardcover, ISBN-10: 0-8218-4110-6, ISBN-13: 978-0-8218-4110-5, List: US$179, All AMS Members: US$143.20, ADVSOV/11
 
Properties of Global Attractors of Partial Differential Equations - A. V. Babin and M. I. Vishik, Editors - AMS, 1992, 172 pp., Hardcover, ISBN-10: 0-8218-4109-2, ISBN-13: 978-0-8218-4109-9, List: US$129, All AMS Members: US$103.20, ADVSOV/10
 
Representation Theory and Dynamical Systems - A. M. Vershik, Editor - AMS, 1992, 267 pp., Hardcover, ISBN-10: 0-8218-4108-4, ISBN-13: 978-0-8218-4108-2, List: US$141, All AMS Members: US$112.80, ADVSOV/9
 
Lie Groups, Their Discrete Subgroups, and Invariant Theory - E. B. Vinberg, Editor - AMS, 1992, 204 pp., Hardcover, ISBN-10: 0-8218-4107-6, ISBN-13: 978-0-8218-4107-5, List: US$145, All AMS Members: US$116, ADVSOV/8
 
Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations - M. Sh. Birman, Editor - AMS, 1991, 204 pp., Hardcover, ISBN-10: 0-8218-4106-8, ISBN-13: 978-0-8218-4106-8, List: US$144, All AMS Members: US$115.20, ADVSOV/7
 
Topological Classification of Integrable Systems - A. T. Fomenko, Editor - AMS, 1991, 345 pp., Hardcover, ISBN-10: 0-8218-4105-X, ISBN-13: 978-0-8218-4105-1, List: US$218, All AMS Members: US$174.40, ADVSOV/6
 
Many-Particle Hamiltonians: Spectra and Scattering - R. A. Minlos, Editor - AMS, 1991, 194 pp., Hardcover, ISBN-10: 0-8218-4104-1, ISBN-13: 978-0-8218-4104-4, List: US$91, All AMS Members: US$72.80, ADVSOV/5 [app-math-logo]
 
Algebraic \(K\)-Theory - A. A. Suslin, Editor - AMS, 1991, 170 pp., Hardcover, ISBN-10: 0-8218-4103-3, ISBN-13: 978-0-8218-4103-7, List: US$101, All AMS Members: US$80.80, ADVSOV/4
 
Dynamical Systems and Statistical Mechanics - Ya. G. Sinaĭ, Editor - AMS, 1991, 254 pp., Hardcover, ISBN-10: 0-8218-4102-5, ISBN-13: 978-0-8218-4102-0, List: US$161, All AMS Members: US$128.80, ADVSOV/3 [app-math-logo]
 
Topics in Representation Theory - A. A. Kirillov, Editor - AMS, 1991, 247 pp., Hardcover, ISBN-10: 0-8218-4101-7, ISBN-13: 978-0-8218-4101-3, List: US$105, All AMS Members: US$84, ADVSOV/2
 
Theory of Singularities and its Applications - V. I. Arnol'd, Editor - AMS, 1990, 333 pp., Hardcover, ISBN-10: 0-8218-4100-9, ISBN-13: 978-0-8218-4100-6, List: US$159, All AMS Members: US$127.20, ADVSOV/1
 


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