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