Mathematical References

The following are a few of the references that I have found useful for the 
study of the integers, mathematical history, and number theory in general.

Andrews, G.E. : Number Theory, 
Dover Pub., Inc. New York, 1994.

Ball, W.W.Rouse : A Short Account of the History of Mathematics.
Dover Pub., Inc., New York, 1908 (reprint 1960).

Beiler, A.H. : Recreations in the Theory of Numbers - The Queen of 
Mathematics Entertains, Dover Pub., Inc., New York, 1966.

Bicknell, M. and Hoggatt, V.E., Jr. A Primer for the Fibonacci Numbers. 
The Fibonacci Association, San Jose State University, San Jose, California,
1973.

Biggs, N.L. : Discrete Mathematics, 
Oxford Univ. Press, New York, 1987.

Boyer, C.B. and Merzbach, U.T. : A History of Mathematics (Second Edition), 
John Wiley & Sons Inc., New York, 1991.

Cohn, H. :  Advanced Number Theory, 
Dover Pub., Inc., New York, 1962. (reprint 1980).

Davis, P.J. and Hersh, R. : The Mathematical Experience, 
Houghton Mifflon Co., Boston, 1982.

Dickson, L.E. : History of the Theory of Numbers (3 volume set), 
Chelsea Pub. Co., New York, N.Y., 1966 (reprint 1992).

Dunham, W. : The Mathematical Universe, 
John Wiley & Sons, Inc., New York, 1994.

Dunham, W. : Journey through Genius - The Great Theorems of Mathematics, 
John Wiley & Sons, Inc., New York, 1990.

Foster, James E. : A Number System without a Zero Symbol. 
Mathematics Magazine, Vol.21, 39-41. 1947.

Hall, H.S. and Knight, S.R. : Higher Algebra.
MacMillan & Co. Ltd. London. 1960.

Halmos, P.R. : Problems for Mathematicians Young and Old, The Mathematical 
Association of America, 1991.

Hellemans, A. and Bunch, B. : The Timetables of Science - A Chronology of 
the Most Important People and Events in the History of Science, 
Simon & Schuster Inc., New York, 1991.

Ifrah, G. : From One to Zero - A Universal History of Numbers,
Viking Penguin Inc. New York, 1985.

Kline, M. : Mathematics - The Loss of Certainty, 
Oxford University Press, 1980.

Knuth, D.E. : The Art of Computer Programming. Vol.1. Fundamental Algorithms.
Addison-Wesley Pub.Co. 1973. 

LeVeque, W.J. : Fundamentals of Number Theory.
Dover Pub., Inc., New York, 1977 (reprint 1996).

LeVeque, W.J. : Elementary Theory of Numbers
Dover Pub., Inc., New York, 1962 (reprint 1990).

McLeish, J. : The Story of Numbers - How Mathematics Has Shaped Civilization, 
Ballantine Books, New York, 1992.

Ogilvy, C.S. and Anderson, J.T. : Excursions in Number Theory,
Dover Pub., Inc., New York, 1966 (reprint 1988).

Ore, O. : Number Theory and Its History, 
Dover Pub., Inc., New York, 1948 (reprint 1988).

Pappus, T. : The Joy of Mathematics - Discovering Mathematics All Around You. 
Wide World Publishing/Tetra, San Carlos, California 1991.

Pappus, T. : More Joy of Mathematics - Exploring Mathematics All Around You. 
Wide World Publishing/Tetra, San Carlos, California, 1996.

Richards, S.P. : A Number for Your Thoughts, 
S. P. Richards, New Providence, New Jersey, 1982.

Struik, D.J. : A Concise History of Mathematics, 
Dover Pub., Inc., New York, 1967 (reprint 1987). 

Swetz, F.J. : From Five Fingers to Infinity, Open Court, Chicago and 
La Salle Illinois, 1995.

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Last Modified Jan.4 2005