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Books in Number theory

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Algebraic Groups and Number Theory

  • 1st Edition
  • Volume 139
  • December 7, 1993
  • Vladimir Platonov + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 5 9 - 3
This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.

Real Reductive Groups II

  • 1st Edition
  • Volume 132II
  • August 6, 1992
  • Nolan R. Wallach
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 5 2 - 4

Large Deviations

  • 1st Edition
  • Volume 137
  • June 21, 1989
  • Jean-Dominique Deuschel + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 5 7 - 9
The first four chapters of this volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).

Infinite Crossed Products

  • 1st Edition
  • Volume 135
  • March 1, 1989
  • Donald S. Passman
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 5 5 - 5

Ring Theory V2

  • 1st Edition
  • Volume 127II
  • July 1, 1988
  • Louis H. Rowen
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 4 7 - 0

Ring Theory V1

  • 1st Edition
  • Volume 127I
  • June 1, 1988
  • Louis H. Rowen
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 4 6 - 3

Elementary Theory of Numbers

  • 1st Edition
  • Volume 31
  • February 1, 1988
  • W. Sierpinski
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 6 0 1 9 - 7
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.