An Introductory Course in Elementary Number Theory by Wissam Raji
An Introductory Course in Elementary Number Theory - Table of Contents
PART I: PRIMES & CONGRUENCES
- 1. Introduction
- 2. Prime Numbers
- 3. Congruences
PART II: FUNCTIONS & RESIDUES
- 4. Multiplicative Number Theoretic Functions
- 5. Primitive Roots and Quadratic Residues
PART III: CONTINUED FRACTIONS & BEYOND
- 6. Introduction to Continued Fractions
- 7. Introduction to Analytic Number Theory
- 8. Other Topics in Number Theory
What You Will Learn in An Introductory Course in Elementary Number Theory
An Introductory Course in Elementary Number Theory by Wissam Raji is an accessible, mathematically rigorous textbook published under a Creative Commons open-access license that provides undergraduate students with a solid foundation in classical and computational number theory. This comprehensive volume guides readers through prime factorization theorems, linear congruences, modular arithmetic, Euler's totient function, primitive roots, quadratic residues, Legendre symbols, and finite continued fractions with exceptional pedagogical clarity and structural logic.
Designed for undergraduate mathematics majors, secondary math educators, competitive programming students, and self-study learners, this foundational text bridges basic arithmetic principles and advanced analytical methods. Raji details step-by-step mathematical proofs for Fermat's Little Theorem, Wilson's Theorem, the Chinese Remainder Theorem, quadratic reciprocity laws, and Diophantine approximations. Whether you are studying cryptography algorithms, preparing for mathematical olympiads, or exploring analytic number theory foundations, this book offers an indispensable roadmap.
Recognized globally as one of the best free open-educational resources for introductory algebra, it stands as one of the best introductory books on elementary number theory and modular arithmetic. By balancing formal proof structures with step-by-step worked examples, it serves as an essential tool for mastering number theory concepts and proof techniques with confidence.
Book Details & Specifications
Title:
An Introductory Course in Elementary Number Theory by Wissam Raji
Publisher:
The Saylor Foundation
Year:
2013
Pages:
171
Type:
PDF
Language:
English
ISBN-10 #:
1329690370
ISBN-13 #:
978-1329690370
License:
CC BY 3.0
Amazon:
Amazon
About the Author: Wissam Raji
The author Wissam Raji
is Professor of Mathematics and Chair of the Department of Mathematics at the American University of Beirut (AUB). He earned his Ph.D. in Mathematics from Temple University and is widely recognized for his research in number theory, modular forms, and mock theta functions.
Through An Introductory Course in Elementary Number Theory, Raji delivers a clear, self-contained, and freely accessible introduction to pure mathematics. His structured exposition, detailed historical context, and rich collection of exercise sets make this text a classic reference for introductory number theory trusted by students and professors worldwide.
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