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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...

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

    Cambridge University Press 2014; US$ 36.00

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

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

    Princeton University Press 2001; US$ 97.00

    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 1993; US$ 76.00

    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...

  • Liebe und Mathematikby Edward Frenkel; Thomas Filk

    Springer Berlin Heidelberg 2014; US$ 29.99

    Eine Liebeserklärung an die Mathematik und eine Autobiographie wie ein großer russischer Roman ? der New York Times -Bestseller des brillanten Mathematikers Edward Frenkel Zwei faszinierende Erzählungen ? die eine mathematischer Natur, die andere persönlich ? sind in Liebe und Mathematik miteinander verwoben ? Geschickt führt Frenkel den... more...

  • The Number Systemby H. A. Thurston

    Dover Publications 2012; US$ 7.99

    The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development. This volume's great... more...

  • History of the Theory of Numbers, Volume IIby Leonard Eugene Dickson

    Dover Publications 2013; US$ 31.99

    The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This second volume in the series, which is suitable for upper-level undergraduates... 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...