Carl Friedrich Gauss
(1777-1855)
Some Recommended Books
in Number Theory
Pierre de Fermat
(1601-1665)
Elementary textbooks:
G. E. Andrews,
Number Theory,
Dover Publications, New York, 1994.
D. M. Burton,
Elementary number theory, 3rd ed.,
McGraw-Hill, New York, 1997.
H. Davenport,
The higher arithmetic,
Dover Publications, New York, 1983.
H. M. Edgar,
A first course in number theory,
Wadsworth, 1988.
J. Herman, R. Kucera, and J. Simsa,
Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory,
Springer-Verlag, 2000.
(Translated by K. DIlcher)
R. Kumanduri and C. Romero,
Number theory with computer applications,
Prentice Hall, Englewood Cliffs, 1997.
K. H. Rosen,
Elementary number theory and its applications, 3rd ed.,
Addison-Wesley, Reading, Mass., 1993.
H. M. Stark,
An introduction to number theory,
MIT Press, Boston, 1978.
More advanced texts and reference books:
Gelfond, A. O.,
Transcendental and algebraic numbers,
New York, Dover Publication, 1960.
E. Grosswald,
Representations of integers as sums of squares,
Springer-Verlag, New York-Berlin, 1985.
K. Ireland and M. Rosen,
A classical introduction to modern number theory, 2nd ed.,
Springer-Verlag, New York, 1990.
I. Niven, H. S. Zuckerman and H. L. Montgomery,
An introduction to the theory of numbers, 5th ed.,
Wiley, New York, 1991.
P. Ribenboim,
13 lectures on Fermat's last theorem,
Springer-Verlag, New York-Heidelberg, 1979.
Papers:
van der Poorten, Alf,
A proof that Euler missed ... Apéry's proof of the irrationality of zeta (3),
Math. Intelligencer 1 (1978/79), no. 4, 195-203.
Historical:
V. J. Katz,
A History of Mathematics : An Introduction, 2nd ed.,
Addison-Wesley, Reading, Mass., 1998.
W. Scharlau and H. Opolka,
From Fermat to Minkowski. Lectures on the theory of numbers and its historical development,
Springer-Verlag, 1984.
A. Weil,
Number theory: An approach through history from Hammurapi to Legendre,
Birkhäuser-Verlag, Boston, 1984.
Biographical:
P. Hoffman,
The man who loved only numbers: The story of Paul Erdös and the search for mathematical truth,
Little Brown & Company, 1999.
R. Kanigel,
The Man Who Knew Infinity: A Life of the Genius Ramanujan,
Washington Square Press, 1991.
B. Schechter,
My brain is open: The mathematical journeys of Paul Erdös,
Simon & Schuster, 1998.
High-level expositions:
P. Ribenboim,
The little book of big primes,
Springer-Verlag, New York, 1991.
P. Ribenboim,
The new book of prime number records,
Springer-Verlag, New York, 1996.
P. Ribenboim,
Fermat's last theorem for amateurs,
Springer-Verlag, New York, 1999.
A. Van Der Poorten,
Notes on Fermat's Last Theorem,
Wiley, New York, 1996.
Popular expositions:
A. D. Aczel:
Fermat's last theorem: Unlocking the secret of an ancient mathematical problem.
Delacorte Trade Paper, 1997.
S. Singh and J. Lynch,
Fermat's enigma: The epic quest to solve the world's greatest mathematical problem,
Bantam Books, 1998.
Last update: March 10, 2000
Created and maintained by
Karl Dilcher
(
dilcher@mscs.dal.ca
).
