Free Book on Mathemathics V (Number Theory)

Introductory Number Theory

1. An Introduction to the Theory of Numbers by Leo Moser
2. Number Theory Notes for students at IMO level by Naoki Sato
3. Elementary Number Theory by William Edwin Clark
4. Lecture notes on elementary number theory by Bruce Ikenaga
5. Exercises with solutions on elementary number theory by Nigel Byott
6. Elementary Number Theory by Michael Filaseta
   

p-adic numbers

1. Lecture notes on p-adic numbers by Andrew Baker
   

Arithmetic Geometry

1. Open Questions in Arithmetic Algebraic Geometry by Alice Silverberg
   

Fermat's Last Theorem

1. William Hammond's Fermat Archive
2. Review of Alf van der Poorten's Notes on Fermat's Last Theorem by Andrew Granville
   

Algebraic Number Theory

1. Survey of Euclidean Number Fields by Franz Lemmermeyer
2. A Computational Introduction to Number Theory and Algebra by Victor Shoup
3. A Course In Algebraic Number Theory by Robert B. Ash
4. Elementary and algebraic number theory by Ivan Fesenko
5. Algebraic Number Theory by Jim Milne
6. Algebraic Number Theory by Robin Chapman
7. Invitation to higher local fields by Ivan Fesenko, and Masato Kurihara
8. Euclidean Number Fields by Franz Lemmermeyer
9. Algebra and Number Theory by Andrew Baker
10. Elementary Number Theory by William A. Stein
11. Notes for Dick Gross' Algebraic Number Theory Course by S. Sather-Wagstaff
12. Algebraic Number Theory & Introduction to Automorphic L-functions by Ching-Li Chai
13. Algebraic Number Theory by Jerome William Hoffmann
14. Introduction to Number Theory by Franz Lemmermeyer

Analytic Number Theory

1. Course notes for analytic number theory by Graham Everest
2. Distribution of Prime Numbers by William Chen
3. Introduction to Analytic Number Theory by Noam Elkies