Number Theory

The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of g...

The book is based on lecture notes of a course 'from elementary number theory to an introduction to matrix theory' given at the Technion to gifted ...

Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delive...

Discover the incredible connection between numbers and reality itself! Think of a number between one and ten...No, hang on, let's make this inter...

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author ta...

Laws of Large Numbers contains the usual laws of large numbers together with the recent ones derived in unified and elementary approaches. Most of ...

Numbers are integral to our everyday lives and feature in everything we do. In this Very Short Introduction Peter M. Higgins, the renowned mathemat...

How do you remember more and forget less? How can you earn more and become more creative just by moving house? And how do you pack a car ...

V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, st...

The field of weak arithmetics is an application of logical methods to number theory that was developed by mathematicians, philosophers, and theoret...

This volume is the result of the author's many-years of research in this field. These results were presented in the author's two books, Introductio...

This book is the first English translation of the classic long paper Theorie der algebraischen Functionen einer Veranderlichen (Theory of algebraic...

This 2-volume set (Fermat's Last Theorem: Basic Tools and Fermat's Last Theorem: The Proof) presents in full detail the proof of Fermat's Last Theo...

An outrageous graphic novel that investigates key concepts in mathematicsIntegers and permutationstwo of the most basic mathematical objectsare bor...

Challenge your problem-solving aptitude in number theory with powerful problems that have concrete examples which reflect the potential and impact ...

This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem given b...

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind...