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Number Theory

  • 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...

  • 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...

  • Algebras, Rings and Modulesby Michiel Hazewinkel; Nadiya M. Gubareni

    CRC Press 2015; US$ 139.95

    The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century.... more...

  • Representations of Reductive Groupsby Monica Nevins; Peter E. Trapa

    Springer International Publishing 2015; US$ 129.00

    Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups.  His groundbreaking ideas have lead to deep advances in the theory of real and p -adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics.... more...

  • Primzahltests für Einsteigerby Rebecca Waldecker; Lasse Rempe-Gillen

    Springer Fachmedien Wiesbaden 2015; US$ 29.99

    In diesem Buch geht es um den AKS-Algorithmus, den ersten deterministischen Primzahltest mit polynomieller Laufzeit. Er wurde benannt nach den Informatikern Agrawal, Kayal und Saxena, die ihn 2002 entwickelt haben. Primzahlen sind Gegenstand vieler mathematischer Probleme und spielen im Zusammenhang mit Verschlüsselungsmethoden eine wichtige Rolle.... more...

  • Classical Groups, Derangements and Primesby Timothy C. Burness; Michael Giudici

    Cambridge University Press 2015; US$ 64.00

    Graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order. more...

  • CryptoSchoolby Joachim von zur Gathen

    Springer Berlin Heidelberg 2015; US$ 44.99

    This book offers an introduction to cryptology, the science that makes secure communications possible, and addresses its two complementary aspects: cryptography?--the art of making secure building blocks?--and cryptanalysis?--the art of breaking them. The text describes some of the most important systems in detail, including AES, RSA, group-based... more...

  • Introduction to Number Theory, 2nd Editionby Anthony Vazzana; David Garth

    CRC Press 2015; US$ 89.95

    Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert?s tenth problem.... more...

  • Analytic Number Theoryby Carl Pomerance; Michael Th. Rassias

    Springer International Publishing 2015; US$ 129.00

    This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and  trigonometric sums and their... more...

  • Computing the Continuous Discretelyby Matthias Beck; Sinai Robins

    Springer New York 2015; US$ 59.99

    This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. Because there is no other book that puts together all of these ideas in one place, this... more...