# Free Mathematics eBooks Online : Number Theory

Here is a list of online books about **Number Theory** in various formats available for free:

Abelian Varieties

by J. S. Milne, 2008, 172 pages, 1.2MB, PDF

Algebraic Number Theory

by J.S. Milne, 2008, 163 pages, 1.1MB, PDF

Algorithmic Number Theory

by J.P. Buhler, P. Stevenhagen, 2008, 662 pages, PDF

Analytic Number Theory

by Giuseppe Rauti, 2013, 96 pp, 580KB, PDF

Analytic Number Theory

by Kiran Kedlaya, 2007, PDF

Analytic Number Theory: A Tribute to Gauss and Dirichlet

edited by William Duke, Yuri Tschinkel, 2007, 266 pages, 2.6MB, PDF

Arithmetic Duality Theorems

by J.S. Milne, 2006, 347 pages, 2MB, PDF

Circulants

by Alun Wyn-jones, 2008, 149 pages, PDF

Class Field Theory

by J. S. Milne, 2008, 287 pages, 1.7MB, PDF

Collections of Problems on Smarandache Notions

by Charles Ashbacher, 1996, 75 pages, 1.7MB, PDF

Comments and topics on Smarandache notions and problems

by Kenichiro Kashihara, 1996, 50 pages, 1.4MB, PDF

A Computational Introduction to Number Theory and Algebra

by Victor Shoup, 2005, 534 pages, 3.5MB, PDF

Computer analysis of number sequences

by Henry Ibstedt, 1998, 86 pages, 2.2MB, PDF

A Course In Algebraic Number Theory

by Robert B. Ash, 2003, PDF

Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory by Florentin Smarandache, 2000, 84 pages, 2.7MB, PDF

Diophantine Analysis

by R. D. Carmichael, 1915, 120 pages, 630KB, PDF

Distribution of Prime Numbers

by W W L Chen, 2003, PDF

Elementary Number Theory

by William Edwin Clark, 2002, 129 pages, 750KB, PDF

Elementary Number Theory

by W W L Chen, 2003, PDF

Elementary Theory of Numbers

by Waclaw Sierpinski, 1964, PDF

Elliptic Curves over Function Fields

by Douglas Ulmer, 2011, 72 pages, 670KB, PDF

Essays on the Theory of Numbers

by Richard Dedekind, 1901, 78 pages, 460KB, PDF

Geometric Theorems and Arithmetic Functions

by Jozsef Sandor, 2002, 55 pages, 1.4MB, PDF

Harmonic Analysis, the Trace Formula, and Shimura Varieties

edited by J. Arthur, D. Ellwood, R. Kottwitz, 2005, 706 pages, 4.8MB, PDF

Heegner Points and Rankin L-Series

edited by Henri Darmon, Shou-Wu Zhang, 2004, PDF

Introduction to Algebraic Number Theory

by William Stein, 2005, 140 pages, 820KB, PDF

Introduction to Analytic Number Theory

by A.J. Hildebrand, 2006, 197 pages, 820KB, PDF

Introduction to Shimura Varieties

by J.S. Milne, 2004, 149 pages, 1MB, PDF

An Introduction to the Smarandache Function

by Charles Ashbacher, 1995, 62 pages, 1.6MB, PDF

An Introduction to the Theory of Numbers

by Leo Moser, 2007, 95 pages, 0.5MB, PDF

Lectures on Field Theory and Ramification Theory

by Sudhir R. Ghorpade, 2008, 36 pp, 360KB, PDF

Lectures on Modular Forms

by Igor V. Dolgachev, 1998, 820KB, PDF

Lectures on Shimura Varieties

by A. Genestier, B.C. Ngo, 2006, 50 pages, 400KB, PDF

Lectures on Topics in Algebraic Number Theory

by Sudhir R. Ghorpade, 2002, 83 pp, 1.5MB, PDF

Modular Functions and Modular Forms

by J. S. Milne, 2009, 129 pages, 960KB, PDF

Notes on Fermionic Fock Space for Number Theorists

by Greg W. Anderson, 2000, 99 pages, 460KB, PDF

Notes on the Poisson formula

by A. N. Parshin, 2010, 46 pages, 420KB, PDF

On Some of Smarandache’s Problems

by Krassimir Atanassov, 1999, 89 pages, 4.3MB, PDF

Pluckings from the tree of Smarandache: Sequences and functions

by Charles Ashbacher, 1998, 80 pages, 0.8MB, PDF

A set of new Smarandache functions, sequences and conjectures in number theory

by Felice Russo, 2000, 114 pages, 0.4MB, PDF

The Smarandache Function

by C. Dumitrescu, V. Seleacu, 1996, 137 pages, 3MB, PDF

Smooth Numbers: Computational Number Theory and Beyond

by Andrew Granville, 2008, 58 pp, 390KB, PDF

Surfing on the ocean of numbers

by Henry Ibstedt, 1997, 76 pages, 2.8MB, PDF

Theoretic Arithmetic

by Thomas Taylor, A. J. Valpy, 1816, 286 pages, 22MB, PDF

The Theory of Numbers

by R. D. Carmichael, 1914, 85 pages, PDF/TeX