Number theory top picks. Resources, books, and tutorials for learning number theory.
1. 17 Lectures on Fermat Lectures
Printed in 2002, this excellent resource addresses number theory to Geometry. This text includes lectures on the theory of numbers and its historical development.
2. A Brief Guide to Algebraic Number Theory
The text covers the two basic methods of approaching algebraic number theory: using ideals and valuations. Geared for beginner graduate students and focuses on mainstream theory. Provides minimal illustrative applications.3. A Cascade of Numbers: An Introduction to Number Theory
Another great early graduate student title for Number Theory. A user friendly reference guide written at the graduate entry level.4. Friendly Introduction to Number Theory
Starting with nothing more than basic high school algebra, the This is an introductory undergrad level text. You will be led from basic algebra to the point of actively performing mathematical research. Exhibits a writing style that is user friendly and displays numerical examples, with analysis for patterns and used to make conjectures. Focuses on methods.5. Exploring Real Numbers
An easy to follow introduction to mathematical thought. This text is a short course in number theory, could be used as an honors course at the high school level, or for an introduction to mathematical education research.6. Number Theory with Applications
A text primarily for the undergraduate student. Provides theory for mathematics, computer science, and engineering majors also. Provides a self-contained easy to follow passages of basic number theory, and offers applications and advanced topics.7. Number Theory with Computer Applications
Supports most courses in Number Theory. Itegrates computing algorithms into the number theory with strong emphasis on proofs. Provides selections of modern applications and considers the latest trends and topics, such as elliptic curves.