Number Theory

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...

Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory ...

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite ...

This book collects original research papers and survey articles presented at two conferences on the same theme: the International Conference on Cla...

Recently, the fields of number theory and prime numbers have had enormous impact on disciplines such as computing, communications, and physics. How...

This book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms. The author describes t...

The existence of transcendental numbers was first proved in 1844, by Joseph Liouville. Advances were made by Charles Hermite, proving the transcend...

Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or hi...

This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians r...

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particul...

When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academys secre...

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particul...

This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equations size, order all polynomia...

This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It ex...

Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory ...

This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of ex...

This book is the result of research initiatives formed during the workshop Low Dimensional Topology and Number Theory XIII at Kyushu University in ...

In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applica...

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particul...

Paul Erdös was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysi...

The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geom...