Number theory books

This book documents the history of pi from the dawn of mathematical time to the present. The articles include selections...  Read More >>

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Focuses on the structure of fields and is intended for a second course in abstract algebra. This book provides proofs...  Read More >>

The book is the first English translation of John Wallis's Arithmetica Infinitorum (1656), a key text on the seventeenth-century...  Read More >>

The Primality Testing Problem (PTP) has now proved to be solvable in deterministic polynomial-time (P) by the AKS...  Read More >>

Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself,...  Read More >>

From September 13 to 17 in 1999, the First China-Japan Seminar on Number Theory was held in Beijing, China, which...  Read More >>

This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer...  Read More >>

The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial...  Read More >>

Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows...  Read More >>

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 >>