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Number Theory

Most popular at the top

  • The Solution of the K(Gv) Problemby Peter Schmid

    World Scientific Publishing Company 2007; US$ 163.00

    The k(GV) conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product GV is bounded above by the order of V . Here V is a finite vector space and G a subgroup of GL(V) of order prime to that of V . It may be regarded as the special case of Brauer's celebrated k(B) problem dealing with p -blocks B... more...

  • Continued Fractionsby Doug Hensley

    World Scientific Publishing Company 2006; US$ 193.00

    The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Legendre. While our understanding of continued fractions and related methods for simultaneous diophantine approximation has burgeoned over the course of the past decade and more, many of the results... more...

  • Neverending Fractionsby Jonathan Borwein; Alf van der Poorten; Jeffrey Shallit; Wadim Zudilin

    Cambridge University Press 2014; US$ 32.00

    This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians. more...

  • Basiswissen Zahlentheorieby Kristina Reiss; Gerald Schmieder

    Springer 2014; US$ 29.99

    Kenntnisse uber den Aufbau des Zahlensystems und uber elementare zahlentheoretische Prinzipien gehoren zum unverzichtbaren Grundwissen in der Mathematik. Das vorliegende Buch spannt den Bogen vom Rechnen mit naturlichen Zahlen uber Teilbarkeitseigenschaften und Kongruenzbetrachtungen bis hin zu zahlentheoretischen Funktionen und Anwendungen wie der... more...

  • The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)by Michael Harris; Richard Taylor

    Princeton University Press 2001; US$ 87.50

    This book aims first to prove the local Langlands conjecture for GL n over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "simple" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally... more...

  • Algebraic Number Theoryby A. Fröhlich; M. J. Taylor

    Cambridge University Press 1991; US$ 74.00

    A graduate text providing a brisk, thorough treatment of the foundations of algebraic number theory. more...

  • Elementary Number Theory with Programmingby Marty Lewinter; Jeanine Meyer

    Wiley 2015; US$ 89.95

    A successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts... more...

  • Diophantine Approximationsby Ivan Niven

    Dover Publications 2013; US$ 7.95

    This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties... more...

  • Mathematics: The Man-Made Universeby Sherman K. Stein

    Dover Publications 2013; US$ 29.95

    Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry,... more...

  • Uniform Distribution of Sequencesby L. Kuipers; H. Niederreiter

    Dover Publications 2012; US$ 22.95

    The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from... more...