Featured Reviews in "Mathematical Reviews" 1995-1996: Reviews of Outstanding Recent Books and Papers
Donald G. Babbitt, Jane E. Kister
American Mathematical Soc. - Mathematics - 386 pages
This collection of reprinted 'Featured Reviews' published in Mathematical Reviews (MR) in 1995 and 1996 makes widely available informed reviews of some of the best mathematics published recently. 'Featured Reviews' were introduced in MR at the beginning of 1995 in part to provide some guidance to the current research-level literature. With the exponential growth of publications in mathematical research in the first half-century of MR, it had become essentially impossible for users of MR to identify the most important new research-level books and papers, especially in fields outside of the users' own expertise. This work identifies some of the "best" new publications, papers, and books that are expected to have a significant impact on the area of pure or applied mathematics with which researchers are concerned. All of the papers reviewed here contain interesting new ideas or applications, a deep synthesis of existing ideas, or any combination of these. The volume is intended to lead the user to important new research across all fields covered by MR.
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3-manifold abelian varieties Amer analogue analysis analytic applications asymptotic attractor authors show automorphisms Banach boundary bounded C*-algebras classical coefficients cohomology commutative compact complex condition conjecture connected construction convergence corresponding curves cyclic defined denote diffeomorphism differential equations dimension Donaldson Donaldson invariants Donaldson theory dynamical elliptic elliptic surfaces English summary equivalent example existence exponential field theory finite finite-dimensional formula function geometry given Hamiltonian Hardy spaces Hilbert space holomorphic homology homotopy infinite integral invariants irreducible isomorphic Lie algebra line bundle linear main result Math mathematical matrix method metric moduli space obtained operator orbit paper under review perturbation polynomial problem proof properties quantum cohomology quantum groups quasiconformal rational representation ring satisfies Seiberg-Witten sequence singular smooth solutions spectral Springer structure subgroup subspace surfaces symmetric symplectic manifold tensor theorem tight closure topology vector bundles vector field Witten