Section 8.6. Recommended Reading and Web Sites

[Page 253 (continued)]

8.6. Recommended Reading and Web Sites

There are many basic texts on the subject of number theory that provide far more detail than most readers of this book will desire. An elementary but nevertheless useful short introduction is [ORE67]. For the reader interested in a more in-depth treatment, two excellent textbooks on the subject are [KUMA98] and [ROSE05]. [LEVE90] is a readable and detailed account as well. All of these books include problems with solutions, enhancing their value for self-study.

For readers willing to commit the time, perhaps the best way to get a solid grasp of the fundamentals of number theory is to work their way through [BURN97], which consists solely of a series of exercises with solutions that lead the student step by step through the concepts of number theory; working through all of the exercises is equivalent to completing an undergraduate course in number theory.

---

[Page 254]

BURN97 Burn, R. A Pathway to Number Theory. Cambridge, England: Cambridge University Press, 1997.

KUMA98 Kumanduri, R., and Romero, C. Number Theory with Computer Applications. Upper Saddle River, NJ: Prentice Hall, 1998.

LEVE90 Leveque, W. Elementary Theory of Numbers. New York: Dover, 1990.

ORE67 Ore, O. Invitation to Number Theory. Washington, DC: The Mathematical Association of America, 1967,

ROSE05 Rosen, K. Elementary Number Theory and its Applications. Reading, MA: Addison-Wesley, 2000.

Recommended Web Site

• The Prime Pages: Prime number research, records, and resources