An Introductory Course in Elementary Number Theory by Wissam Raji

Book Contents :-
1. Introduction 2. Prime Numbers 3. Congruences 4. Multiplicative Number Theoretic Functions 5. Primitive Roots and Quadratic Residues 6. Introduction to Continued Fractions 7. Introduction to Analytic Number Theory 8. Other Topics in Number Theory

About this book :-
"An Introductory Course in Elementary Number Theory" by "Wissam Raji" is a clear and accessible undergraduate textbook designed for beginners in "number theory". The book introduces fundamental concepts such as properties of integers, divisibility, the well-ordering principle, and "mathematical induction", providing students with a solid foundation for further study. Raji’s writing emphasizes clarity and logical flow, making abstract ideas approachable while maintaining mathematical rigor. The text is structured to guide learners step by step through essential theorems and proofs, fostering both understanding and intuition. Core topics include "prime numbers", congruences, and "modular arithmetic", which are presented with clear explanations and practical examples. The book also includes carefully selected exercises to reinforce learning and encourage active engagement with the material. Each chapter builds upon the previous one, allowing students to progressively develop their skills and understanding of key concepts. Raji’s approach ensures that even those new to mathematics can grasp the foundational principles of number theory with confidence. In addition to basic topics, the textbook touches on more advanced areas such as elementary analytic number theory, offering a glimpse into higher-level mathematics. Freely available under a Creative Commons license, it is ideal for undergraduate courses, self-learners, and anyone interested in exploring the fascinating world of "integers", patterns, and structures. The text bridges theory and practice, making it both educational and engaging.

Book Detail :-
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 Author :-
The author Wissam Raji is a mathematician and educator, currently an "assistant professor at the American University of Beirut", specializing in "analytic number theory". He holds a Ph.D. from Temple University and is known for creating accessible educational resources for students in mathematics. His work, "An Introductory Course in Elementary Number Theory", introduces core concepts such as "integers", "prime numbers", "congruences", and the Euclidean algorithm. This text is ideal for building a strong foundation in "number theory", making abstract concepts approachable and practical for learners.

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