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Algebra

  • Abstract Algebraby William Paulsen

    CRC Press 2016; US$ 89.95

    The new edition of Abstract Algebra: An Interactive Approach presents a hands-on and traditional approach to learning groups, rings, and fields. It then goes further to offer optional technology use to create opportunities for interactive learning and computer use. This new edition offers a more traditional approach offering additional topics... more...

  • The p-adic Simpson Correspondenceby Ahmed Abbes; Michel Gros; Takeshi Tsuji

    Princeton University Press 2016; US$ 75.00

    The p -adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p -adic representations of the fundamental group of a proper smooth variety over a p -adic field in terms of linear algebra?namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches, one by Ahmed Abbes... more...

  • Bulk and Boundary Invariants for Complex Topological Insulatorsby Emil Prodan; Hermann Schulz-Baldes

    Springer International Publishing 2016; US$ 89.99

    This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on... more...

  • Recent Advances in Hodge Theoryby Matt Kerr; Gregory Pearlstein

    Cambridge University Press 2016; US$ 92.00

    Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers. more...

  • Basic Algebraic Topologyby Anant R. Shastri

    CRC Press 2016; US$ 94.95

    Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes,... more...

  • Sheaves and Functions Modulo pby Lenny Taelman

    Cambridge University Press 2016; US$ 56.00

    Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields. more...

  • On the Geometry of Some Special Projective Varietiesby Francesco Russo

    Springer International Publishing 2016; US$ 69.99

    Providing anintroduction to both classical and modern techniques in projectivealgebraic geometry, this monograph treats the geometrical properties ofvarieties embedded in projective spaces, their secant and tangent lines,the behavior of tangent linear spaces, the algebro-geometric and topologicalobstructions to their embedding into smaller... more...

  • Lectures in Universal Algebraby L. Szabó; A. Szendrei

    Elsevier Science 2016; US$ 93.95

    These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets. As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The... more...

  • Geometric Algebraby Emil Artin

    Dover Publications 2016; US$ 14.95

    This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric... more...

  • Probability on Real Lie Algebrasby Uwe Franz; Nicolas Privault

    Cambridge University Press 2016; US$ 100.00

    This monograph is a progressive introduction to non-commutativity in probability theory. more...