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Number Theory

  • Abelian Varieties with Complex Multiplication and Modular Functionsby Goro Shimura

    Princeton University Press 2016; US$ 125.00

    Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such... more...

  • Summing It Upby Avner Ash; Robert Gross

    Princeton University Press 2016; US$ 27.95

    We use addition on a daily basis?yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians... more...

  • Elemente der Arithmetik und Algebraby Harald Scheid; Wolfgang Schwarz

    Springer Berlin Heidelberg 2016; US$ 29.99

    Das Buch richtet sich an Studierende der Mathematik in Lehramtsstudiengängen aller Schulstufen und in polyvalent angelegten Bachelor-Studiengängen. Es vermittelt die Grundlagen der Arithmetik, der elementaren Zahlentheorie und der Algebra sowie interessante Vertiefungen dieser Gebiete. Die vorliegende 6. Auflage ist vollständig überarbeitet und in... more...

  • Rigid Cohomology over Laurent Series Fieldsby Christopher Lazda; Ambrus Pál

    Springer International Publishing 2016; US$ 109.00

    In this monograph, the authors develop a new theory of  p -adiccohomology for varieties over Laurent series fields in positive characteristic,based on Berthelot's theory of rigid cohomology. Many major fundamentalproperties of these cohomology groups are proven, such as finite dimensionalityand cohomological descent, as well asinterpretations... more...

  • Algebraic Theory of Numbers. (AM-1)by Hermann Weyl

    Princeton University Press 2016; US$ 75.00

    In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather... more...

  • My Search for Ramanujanby Ken Ono; Amir D. Aczel

    Springer International Publishing 2016; US$ 9.99

    "The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father?s approval, he invoked the biography of the famous... more...

  • Einführung in die Kryptographieby Johannes Buchmann

    Springer Berlin Heidelberg 2016; US$ 29.99

    In dem Lehrbuch werden die Techniken der modernen Kryptographie vermittelt, z. B. Verschlüsselung oder digitale Signaturen. Die für ein präzises Verständnis der Kryptographie notwendige Mathematik wird durch viele Beispiele und Übungen nachvollziehbar gemacht. more...

  • Abelian Groups, Rings, Modules, and Homological Algebraby Pat Goeters; Overtoun M.G. Jenda

    CRC Press 2016; US$ 243.00

    About the book? In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the participants... more...

  • Topics in Galois Theory, Second Editionby Jean-Pierre Serre

    CRC Press 2016; US$ 47.95

    This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt construction... more...

  • An Introduction to Number Theory with Cryptographyby James S. Kraft; Lawrence C. Washington

    CRC Press 2016; US$ 99.95

    Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction to Number Theory with Cryptography presents number... more...