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These notes serve as course notes for an undergraduate course in number the- ory. Most if not all universities worldwide offer introductory courses in number theory for math majors and in many cases as an elective course. The notes contain a useful introduction to important topics that need to be ad- dressed in a course in Number theory has long been a favorite subject for students and teachers of mathematics. It is a classical subject and has a reputation for being the. "purest" part of mathematics, yet recent developments in cryptology and computer science are based on elementary number theory. This book is the first text to integrate these Due to time constraints, these notes are rather sketchy. Most of the motivation was done in the classroom, in the notes. I presented a rather terse account of the solutions. I hope some day to be able to give more coherence to these notes. No theme requires the knowledge of Calculus here, but some of the solutions given Primes and Greatest Common Divisor. Applications. Introduction to Number Theory and its Applications. Lucia Moura. Winter 2010. “Mathematics is the queen of sciences and the theory of numbers is the queen of mathematics.” (Karl Friedrich Gauss). CSI2101 Discrete Structures Winter 2010: Intro to Number Theory. 23 Jan 2017 This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergrad- uate courses that the author taught at Harvard, UC San Diego, and the. University of Washington. The systematic study of number theory was initiated around 399884 W4. Number Theory by. Z. I. BOREVICH and I. R. SHAFAREVICH. Translated by NEWCOMB GREENLEAF for. SCRIPTA TECHNICA, T aaaaaaaa rs. New York, New York. IIll/WIII!(lllll"WM/MI”QIMIEIIIWIMIMI ;. ACADEMIC PRESS New York San Francisco London. Subsidiary of Harcourt Brace Jovanovich, Publishers. The present lecture notes contain material for a 5 credit points course in Elemen- tary Number Theory. The formal prerequisites for the material are minimal; in particular no previous course in abstract algebra is required. High school mathematics, familiarity with proofs by mathematical induction and with the basic properties These are the notes of the course MTH6128, Number Theory, which I taught at. Queen Mary, University of London, in the spring semester of 2009. There is nothing original to me in the notes. The course was designed by Su- san McKay, and developed by Stephen Donkin, Ian Chiswell, Charles Leedham-. Green, and The theory of numbers is concerned with the properties of the integers, that is, the class of whole numbers and zero, 0, ±1, ±2, . We will denote the class of integers by Z. The positive integers, 1, 2, 3, are called the natural numbers, which we will denote by N. We will assume that the reader is familiar with the basic Elementary Number Theory. W. Edwin Clark. Department of Mathematics. University of South Florida. Revised June 2, 2003. Copyleft 2002 by W. Edwin Clark. Copyleft means that unrestricted redistribution and modification are per- mitted, provided that all copies and derivatives retain the same permissions. Specifically no