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ReferencesPrinted and electronic resources |
References
The following resources prove instrumental in understanding number bases. These serve as the backbone for work that appears throughout this website. If you are really into number bases, these titles should appear in your library or bookmarked on your browser. One does not need to understand the entire resource to have a good command of what makes a number base work, however, if one is interested in mathematics, many of these resources are basic to the field of number theory.
A good place to start would be Dudley. It is plainspoken but authoritative, with exercises for each chapter. Dudley presents proofs and challenges the reader. Answers to odd-numbered problems appear in the back of the book. Section 13 deals with numbers in other bases, and 14 with duodecimal. The book is like a friendly professor in paper form.
The resources appear alphabetically according to the titles:
Hardy, G. H., Seshu Aiyar, P. V., Wilson B. M., Collected Papers of Srinivasa Ramanujan. Providence, RI: AMS Chelsea Publishing, 1927.
ISBN 978-0821820766.
Dudley, Underwood. Elementary Number Theory. Mineola, NY: Dover, 2008.
[2nd ed. 1969, San Francisco, CA: W. H. Freeman & Co.]
ISBN 978-0486469317.
Jones, Gareth A. and Jones, J. Mary, Elementary Number Theory. London: Springer (Undergraduate Mathematics Series), 2005.
ISBN 978-3540761976.
LeVeque, William J. Elementary Theory of Numbers. Mineola, NY: Dover, 1990.
[1st ed. 1962, Reading, MA: Addison-Wesley Publishing Co.]
ISBN 978-0486663487.
Neugebauer, Otto, The Exact Sciences in Antiquity. Mineola, NY: Dover, 1969.
[2nd ed., Providence, RI: Brown University Press, 1957.]
ISBN 978-0486223322.
Glaser, Anton. History of Binary and Other Nondecimal Numeration. 1st ed., Philadelphia, PA: self-published, 1971.
Electronic version.
Hardy, G. H. and Wright, E. M. An Introduction to the Theory of Numbers. Sixth Edition. New York: Oxford University Press, 2008.
ISBN 978-0-19-921985-8, 978-0-19-921986-5 (pbk).
Butterworth, Brian, The Mathematical Brain. London: Macmillan Publishers Ltd., 2000. [1st ed. 1999]
ISBN 978-0333735275.
Ore, Øystein. Number Theory and Its History. Mineola, NY: Dover, 1988.
[1st ed. 1948, New York, NY: McGraw-Hill Book Co.]
ISBN 978-0486656205.
Menninger, Karl, Number Words and Number Symbols. Mineola, NY: Dover, 1992.
[1st ed., Zahlwort und Ziffer, Göttingen, Germany: Vandenhoeck & Ruprecht Publishing Co., 1957−8.]
ISBN 978-0486270968.
Flegg, Graham, Numbers through the Ages. London: Macmillan Publishers Ltd., 1989.
ISBN 978-0333491317.
Neil J. A. Sloane / The OEIS Foundation Inc. The Online Encyclopedia of Integer Sequences. < http://oeis.org >.
Link for OEIS sequences pertaining to number base mechanics.
(Disclosure, author of this website is an associate editor at OEIS.)
Caldwell, Chris. The Prime Pages. < http://primes.utm.edu >.
Weisstein, Eric W. Wolfram MathWorld. < http://mathworld.wolfram.com >.