Number theory books

Talks about the development of reciprocity laws, starting from conjectures of Euler. This book discusses the contributions...  Read More >>

The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the...  Read More >>

Gauss created the theory of binary quadratic forms in ""Disquisitiones Arithmeticae"" and Kummer invented ideals...  Read More >>

This book examines four mathematical concepts which play a great role in many different areas of mathematics: symbolic...  Read More >>

The SCAN conference, the International Symposium on Scientific Com­ puting, Computer Arithmetic and Validated Numerics,...  Read More >>

In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the...  Read More >>

Suitable for undergraduates, this book starts with the most elementary properties of the natural integers.  Read More >>

Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction...  Read More >>

Explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results...  Read More >>

From the reviews: ""This is a very interesting book containing material for a comprehensive study of the cyclid...  Read More >>

The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics,...  Read More >>

After giving the basic information Carter describes the Deligne-Lusztig method of obtaining characters of these...  Read More >>

Lattices are discrete subgroups of maximal rank in a Euclidean space. This book thus discusses a beautiful and central...  Read More >>

Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than...  Read More >>

ThecreationofpublickeycryptographybyDi?eandHellmanin1976andthe subsequent invention of the RSA public key cryptosystem...  Read More >>

This book can be seen as a continuation of Equations and Inequalities: El­ ementary Problems and Theorems in Algebra...  Read More >>

This book gives an introduction to algebraic functions and projective curves. It also develops the theory of singular...  Read More >>

Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic...  Read More >>

Néron models were invented by A. This volume of the renowned ""Ergebnisse"" series provides a detailed demonstration...  Read More >>

The value of Aw is determined up to mv + nv , where v and v are complex numbers, and m and n are 1 2 1 2 integers....  Read More >>

Modern cryptography depends heavily on number theory, with primality test­ ing, factoring, discrete logarithms (indices),...  Read More >>

Invariant theory is a subject with a long tradition and an astounding abil­ ity to rejuvenate itself whenever it...  Read More >>

Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence,...  Read More >>

At the same time combinatorial methods were not neglected, and Halber­ stam and Richert included an account of the...  Read More >>

The book provides a self-contained introduction to classical Number Theory. The book will be directed to advanced...  Read More >>