- A Guide to Elementary Number Theory by Underwood DudleyISBN: 9780883853474Publication Date: 2009-12-31
- Introductory Algebraic Number Theory by Kenneth S. Williams; Saban AlacaISBN: 9780521832502Publication Date: 2003-11-17
- Experimental Number Theory by Fernando Rodriguez Villegas 2007ISBN: 978-0198528227Publication Date: 2007-05-01
- Introductory Algebraic Number Theory by Kenneth S. Williams; Saban AlacaISBN: 9780521832502Publication Date: 2003-11-17
- Number Theory Through Inquiry by David C. Marshall; Edward Odell; Michael Starbird 2007ISBN: 978-0883857519Publication Date: 2007-01-01
- Analytic Number Theory by Paul T. Bateman; Harold G. Diamond 2004ISBN: 9789812389381Publication Date: 2004-09-01

- Introduction to the Theory of Numbers2011 by Leo Moser.

Presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text. - A Computational Introduction to Number Theory and Algebra2009 by Victor Shoup, New York University.

Includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces); an introduction to discrete probability theory. The text only deals with commutative structures (i.e., abelian groups and commutative rings with unity) — this is all that is really needed for the purposes of this text. There are many examples in the text, and a number of exercises that reinforce important aspects of the material.

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Subjects: Mathematics