Number Theory

This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal...

This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthe...

Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision con...

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermats Last Theo...

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermats Last Theo...

Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also...

This book is a concise, self-contained treatise on abstract algebra with an introduction to number theory, where students normally encounter rigoro...

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insi...

This introductory text is designed for undergraduate courses in number theory, covering both elementary number theory and analytic number theory. T...

This textbook provides an undergraduate introduction to Galois theory and its most notable applications. Galois theory was born in the 19th centur...

This volume is the proceedings of a special conference dedicated to the legacy of Prof. S.-S. Chern, virtually held at the Chern Institute of Mathe...

A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics provides an introduction to orthogonal polynomials an...

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Prese...

The author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions which both in its conception and in ...

First developed in the early 1980s by Lenstra, Lenstra, and Lovász, the LLL algorithm was originally used to provide a polynomial-time algorithm fo...

Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomi...

Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Eu...

Now with an extensive introduction to fractal geometryRevised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessibl...

Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascinatio...

Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group The...

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important ap...

Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of todays most prominent researchers. The contr...

Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorgani...

Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Devel...