Number theory books

This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards...  Read More >>

Includes several focused proofs developed in a generalized context that is accessible to researchers in related...  Read More >>

The continuous volume of P has the usual intuitive meaning of volume that we attach to everyday objects we see in...  Read More >>

If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical bijection between...  Read More >>

Lessons include: Square Roots, Cube Roots, Distributive Property, Divisibility Rules, Number Patterns: Arithmetic...  Read More >>

Lessons include: Prime Factorization, Greatest Common Factor, Least Common Multiple, Exponents, Exponents and Multiplication,...  Read More >>

Cyclotomic fields have always occupied a central place in number theory, and the so called ""main conjecture"" on...  Read More >>

One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators...  Read More >>

This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus...  Read More >>

This book deals with several aspects of what is now called ""explicit number theory."" The central theme is the...  Read More >>

This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number...  Read More >>

A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new...  Read More >>

For a long time the techniques of solving linear optimization (LP) problems improved only marginally. This makes...  Read More >>

Collects survey and research papers on various topics in number theory.  Read More >>

This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward...  Read More >>

The purpose of this text is to provide a self-contained development of the trace formula and theta inversion formula...  Read More >>

The theory of elliptic curves is distinguished by the diversity of the methods used in its study. This book treats...  Read More >>

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Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so...  Read More >>

In general, the set A of nonnegative integers is called an additive basis of order h if every nonnegative integer...  Read More >>

In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent...  Read More >>

A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is...  Read More >>

My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin...  Read More >>

I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals...  Read More >>

The study of the mapping class group Mod( S ) is a classical topic that is experiencing a renaissance. It lies at...  Read More >>