FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World


 Title: An Introductory Course in Elementary Number Theory
 Author(s) Wissam Raji
 Publisher: The Saylor Foundation (2013)
 License(s): CC BY 3.0
 Hardcover/Paperback: N/A
 eBook: PDF, ePub, Kindle, and Microsoft Word, etc.
 Language: English
 ISBN10/ASIN: N/A
 ISBN13: N/A
 Share This:
Book Description
These notes serve as course notes for an undergraduate course in number theory. 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 addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by nonmajors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required. The exercises are carefully chosen to broaden the understanding of the concepts.
Moreover, these notes shed light on analytic number theory, a subject that is rarely seen or approached by undergraduate students. One of the unique characteristics of these notes is the careful choice of topics and its importance in the theory of numbers. The freedom is given in the last two chapters because of the advanced nature of the topics that are presented.
About the Authors N/A
 Number Theory
 Computational and Algorithmic Mathematics
 Mathematical and Computational Software
 Elementry and High School Mathematics
 Algebra, Abstract Algebra, and Linear Algebra
 An Introductory Course in Elementary Number Theory (Wissam Raji)
 The Mirror Site (1)  PDF, ePub, Kindle, etc
 The Mirror Site (2)  PDF  Download Only

Number Theory and Geometry: Arithmetic Geometry
Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. This book is an introduction to number theory and Arithmetic Geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems.

An Introduction to Number Theory (J. J. P. Veerman)
Unlock the mysteries of integers and their properties with this comprehensive guide to the fascinating world of number theory. It offers a meticulous exploration of the core concepts and advanced topics within number theory.

Number Fields (Frans Keune)
This is a textbook for Algebraic Number Theory, focuses on the abstract theory and contains many examples and exercises. It is selfcontained in the sense that it uses only mathematics of a bachelor level, including some Galois theory.

Number Theory: In Context and Interactive (KarlDieter Crisman)
This is a textbook for an upperlevel number theory course, with a clear vision to expose students to the connections to all areas of mathematics, and nearly every concept can be visualized or experimented with using the mathematics software SageMath.

Elementary Number Theory: Primes, Congruences, and Secrets
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. Many numerical examples are given throughout the book using the SageMath mathematical software.

An Introduction to the Theory of Numbers (Leo Moser)
This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory.

Number Theory and Its Applications (Cheon Seoung Ryoo)
Number theory plays a fundamental and important role in mathematics and applied mathematics. This book is based on recent results in all areas related to number theory and its applications.

Yet Another Introductory Number Theory Textbook (J. A. Poritz)
This introductory number theory textbook has a particular emphasis on connections to cryptology. It broaches the subject of these cryptologic algorithms to develop connections to the topic of number theory.

Topology of Numbers (Allen Hatcher)
A textbook on elementary number theory from a geometric point of view, as opposed to the usual strictly algebraic approach. A fair amount of the book is devoted to studying Conway's topographs associated to quadratic forms in two variables.
:






















