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Number theory

Most popular at the top

  • Walks on Ordinals and Their Characteristicsby Stevo Todorcevic

    Birkhäuser Basel 2007; US$ 139.00

    The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This is the first book-length exposition of this method. Particular emphasis is placed on applications which are presented in a unified and comprehensive manner and which stretch... more...

  • The Higher Arithmeticby H. Davenport

    Cambridge University Press 2008; US$ 52.00 US$ 42.64

    A classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport. more...

  • Number Theoryby Z.I. Borevich; I.R. Shafarevic

    Elsevier Science 1986; US$ 72.95

    This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution... more...

  • Elementary Number Theory: Primes, Congruences, and Secretsby William Stein

    Springer New York 2008; US$ 49.95

    Classical number theory and elliptic curves are examined in this textbook, which moves on from elementary topics such as primes, continued fractions, and quadratic forms, to elliptic curves and their applications to algorithmic and number theory problems. more...

  • Experimental Number Theoryby Fernando Rodriguez Villegas

    OUP Oxford 2007; US$ 69.99 US$ 60.19

    This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions. more...

  • Geometry of Numbersby C.G. Lekkerkerker; Pascale Gruber

    Elsevier Science 1987; US$ 72.95

    This volume contains a fairly complete picture of the geometry of numbers, including relations to other branches of mathematics such as analytic number theory, diophantine approximation, coding and numerical analysis. It deals with convex or non-convex bodies and lattices in euclidean space, etc. This second edition was prepared jointly by P.M. Gruber... more...

  • Surveys in Number Theoryby Krishnaswami Alladi

    Springer New York 2009; Not Available

    Number theory has a wealth of long-standing problems, the study of which has led to developments in many areas of mathematics. This volume, written by distinguished mathematicians, consists of seven significant chapters on number theory and related topics. more...

  • Combinatorial Number Theoryby Bruce Landman; Melvyn B. Nathanson; Jaroslav Nesetril; Richard J. Nowakowski; Carl Pomerance; Aaron Robertson

    De Gruyter 2009; US$ 266.00

    This volume contains selected refereed papers based on lectures presented at the ?Integers Conference 2007?, an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007. The proceedings include contributions from many distinguished speakers, including George Andrews, Neil Hindman, Florian... more...

  • Elementary Theory of Numbersby W. Sierpinski

    Elsevier Science 1988; US$ 72.95

    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... more...

  • Geometric Discrepancyby Jiri Matousek

    Springer Berlin Heidelberg 2009; US$ 129.00

    Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introduction to this area, with numerous exercises and illustrations. more...