This new, completely revised edition of a classic text introduces all elements necessary for understanding The Proof (Title of a …
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, …
In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic …
This book surveys some recent developments in the arithmetic of modular elliptic curves. It places special emphasis on the construction …
This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as …
This book serves as a one-semester introductory course in number theory. Throughout the book, Tattersall adopts a historical perspective and …
Written by leading experts in the field Presents a technically difficult field which is readable by the average undergraduate mathematics …
The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained …
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have …
From Reviews of the First Edition:This book provides a problem-oriented first course in algebraic number theory. ... The authors have …
Modern number theory dates from Gauss's quadratic reciprocity law. This law and other developments in number theory have led to …
This book provides an introduction to algebraic number theory suitable for senior undergraduates and beginning graduate students in mathematics.
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique …
Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide …
Number Theory Algebraic Number Theory II: Valuations, Local Fields and Adeles (notes from a graduate number theory course taught at …
Bridging the gap between elementary number theory and the systematic study of advanced topics, A CLASSICAL INTRODUCTION TO MODERN NUMBER …
Journey through the world of numbers with the foremost authorities and writers in the field. John Horton Conway and Richard …
Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in …
The book is directed toward students with a minimal background who want to learn class field theory for number fields. …
The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay …
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he …