Description: This book, which 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.

• Larger print, one page per sheet of paper, bind at left.
  • US letter size.
  • A4 size.
• Regular print, two pages per sheet of paper, bind at top.
  • US letter size.
  • A4 size.

Audience: This book is appropriate for a second undergraduate course in Number Theory, or as an introduction to the subject for beginning graduate students.

Publishing Information: An Introduction to the Theory of Numbers, by Leo Moser, ISBN 978-1-931705-01-1, published by The Trillia Group, 2004. 87+vi pages, 231 problems, 6 figures, hypertextual cross-references. Download size: 463 to 478 KB, depending on format. Current version released July 31, 2011.

Terms and Conditions: This text is distributed under a Creative Commons Attribution 4.0 International (CC BY 4.0) license. Use and distribution of this text is allowed as long as the copyright notice and attribution statement are maintained with the book. (This is a paraphrase of part of the license, see the complete license terms in case of any questions.)

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Errata: There is a list of errata that records changes made to the text since the version of March 1, 2004. The latest version of the book is always available at the links above.