What can be more basic in mathematics than integer numbers like 1, 2, 3, and so on? Thus, one should hardly be surprised that the study of such numbers goes back to the very beginnings of formal mathematics, to Greek mathematicians of the sixth century...

Number theory is a broad and diverse part of mathematics that developed from the study of the integers. In this article we describe two kinds of problems that have stimulated the development of number theory. A very old problem in number theory is to...

Great strides were made in the 1800s toward moving back to a rigorous, logical base for mathematics. Essential to this effort was progress in number theory. Joseph Liouville (1809-1882) expanded the understanding of real numbers when he proved the...

The latter part of the nineteenth century and the first half of the twentieth saw major advances in many branches of mathematics, including the theory of numbers. Work on classic problems in the field led to important advances in our understanding of...

Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. Number theory may be subdivided into several fields,...

Author Anthony A. Gioia Dover Publications Inc. 31 east 2nd Street Mineola, NY 11501 2001,207 pp. Paperback, $10.95 Numbers are some of the most secretive things in the universe. No matter how much we investigate them, there always...

ELEMENTARY NUMBER THEORY, FOURTH EDITION by David M. Burton International Series in Pure and Applied Mathematics, McGraw-Hill, 1998 Being asked to develop a course in number theory after a break from teaching of over a decade, two thoughts immediately came to...