RESERVE BOOKS: ALGORITHMIC NUMBER THEORY

General Number Theory

1. QA241 A24
   Introduction to Number Theory, Adams and Goldstein
   Another book by Goldstein. It appears to be another good one.

2. QA241 B24 1984
   Concise Introduction to the Theory of Numbers, Baker
   Short and to the point.

3. QA95 B44 1966
   Recreations in the Theory of Numbers, Beiler
   As the title suggests, this book is about the "fun" side of number theory.

4. QA241 R665 1994
   A Course in Number Theory, Rose
   A comprehensive introduction.

5. QA241 S44 1978
   Solved and Unsolved Problems in Number Theory, Shanks

6. QA241 S445 1983
   Introduction to the Theory of Numbers, Shapiro
   Another comprehensive introduction.

General Abstract Algebra

1. QA266 F7 1994
   A First Course in Abstract Algebra, Fraleigh

2. QA266 G55
   Abstract Algebra: A First Course, Goldstein
   I had this text as an undergraduate. It's a good one.

3. QA162 M33 1979
   Algebra, MacLane and Birkhoff
   A classic

Primality Testing

1. QA76 K462 1990
   Uses of Randomness in Algorithms and Protocols, Kilian
   This is Joe Kilian's dissertation. It uses elliptic curves to construct certificates for primality.

Factoring

1. None yet!

Lattice Basis Reduction

1. None yet!

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