Although it was originally written for officers in the U.S. In order to explain why this theorem is of special interest. The great difficulty in proving relatively simple results in number theory prompted no less an authority than Gauss to remark that 'it is just this which gives the higher arithmetic that magical charm which has made it the favorite science of the greatest mathematicians, not to mention its inexhaustible wealth, wherein it so greatly surpasses other parts of mathematics. Cooper, On sums of an even number of squares, and an even number of triangular numbers: an elementary approach based on Ramanujan’s 1 1 summation formula, in q-series with Applications to Combinatorics, Number Theory, and Physics (Urbana, IL, 2000). This book provides a solid mathematical background for engineers, especially those working in telecommunications. arithmetic progression of the form (a+km)k1, where a and m are coprime natural numbers. Excellent introductions to number theory may be found in Ore and Beiler The classic history on the subject now slightly dated is that of Dickson abc. The notes contain a useful introduction to important topics that need to be ad-dressed in a course in number theory. Primes and prime factorization are especially important in number theory, as are a number of functions such as the divisor function, Riemann zeta function, and totient function. Most if not all universities worldwide offer introductory courses in number theory for math majors and in many cases as an elective course.

Number theory is a vast and fascinating field of mathematics, sometimes called 'higher arithmetic,' consisting of the study of the properties of whole numbers. p v 1, v 2,, v L, where L is the maximum number of nodes in a path. An Introduction to the Theory of Numbers G. Some basic knowledge of statistics, probability theory, and first-order logic.

Iu basic number theory 1 math-m 505