**ERIC Number:**ED035551

**Record Type:**RIE

**Publication Date:**1961

**Pages:**77

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

Some Ideas About Number Theory.

Barnett, I. A.

The material in this booklet is designed for non-professional mathematicians who have an interest in the theory of numbers. The author presents some elementary results of number theory without involving detailed proofs. Much of the material has direct application for secondary school mathematics teachers. A brief account of the nature of number theory is given in order to acquaint the reader with the subject. Topics discussed include: prime and composite numbers, the Euler-phi-function, some proven facts about number theory, conjectures and unsolved problems, congruences, Diophantine equations, some generalizations of number theory, and many more. Proofs of general theorems are avoided; instead the author verifies general theorems for special cases. A bibliography is provided for the reader who wishes to investigate the proofs of these theorems. (FL)

Descriptors: Algebra, Arithmetic, College Mathematics, Mathematical Enrichment, Mathematics, Number Concepts, Number Systems, Resource Materials, Secondary School Mathematics

National Council of Teachers of Mathematics, 1201 Sixteenth Street, N.W., Washington, D. C. 20036

**Publication Type:**N/A

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**N/A

**Authoring Institution:**National Council of Teachers of Mathematics, Inc., Reston, VA.

**Identifiers:**N/A