Featured Reviews in Mathematical Reviews 1997-1999: With Selected Reviews of Classic Books and Papers from 1940-1969
Donald G. Babbitt, Jane E. Kister
American Mathematical Soc., May 5, 2000 - Mathematics - 541 pages
This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.
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4-manifold abelian Amer analysis analytic applications asymptotic authors automorphic automorphic forms Banach space boundary bounded bundle Chapter classical coefficients cohomology compact complex computation conjecture construction corresponding curves D-branes defined denote differential equations dimension domain Drinfel'd Drinfel'd modules dynamics elliptic English summary example existence extension field theory finite formula function function field functor geometry given global Hilbert space holomorphic homology homology manifolds hyperbolic inequality integral invariant isomorphic L-functions lattice Lie algebra linear M-theory main result manifold Math mathematical matrix method metric modular modular forms module moduli space nonlinear normal obtained operator p-adic paper under review perturbation Phys polynomial problem proof properties proved quantum quasi-isometry representation Riemann sequence singularities smooth solutions spectral string theory structure subgroup subset subspace supergravity surface symmetric symplectic theorem topological varieties vector field zero