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"purest" part of mathematics, yet recent developments in cryptology and computer science are based on elementary number theory. This book is the. This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and ofResults from Number Theory have countless applications in mathematics as well as in practical applications including security, memory management, authentication Applications. The Integers and Division. Introduction. In the next sections we will review concepts from Number Theory, the branch of mathematics that deals Biographical Sketch. Summary. Number theory is one of the oldest disciplines, and has been provided various important mathematical concepts and structures. mic number theory and their applications in computer science. his classic three-volume mathematics book Mathematical Manual: find a number.