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#### Walks on Ordinals and Their Characteristics

Birkhäuser Basel 2007; US$ 93.96The 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 Arithmetic

Cambridge University Press 2008; US$ 52.00A classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport. more...

#### Number Theory

Elsevier Science 1986; US$ 72.95This 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...

#### Experimental Number Theory

OUP Oxford 2007; US$ 69.99This 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...

#### Elementary Number Theory: Primes, Congruences, and Secrets

Springer New York 2008; US$ 33.95Classical 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...

#### Geometry of Numbers

Elsevier Science 1987; US$ 72.95This 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 Theory

Springer New York 2009; US$ 108.00Number 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 Theory

De Gruyter 2009; US$ 205.17The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods... more...

#### Elementary Theory of Numbers

Elsevier Science 1988; US$ 72.95Since 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 Discrepancy

Springer Berlin Heidelberg 2009; US$ 97.20Such questions are treated in geometric discrepancy theory. The book is an accessible and lively introduction to this area, with numerous exercises and illustrations. more...