ELEMENTARY NUMBER THEORY

This textbook, titled Elementary Number Theory by A. D. Godase, serves as a comprehensive guide for students.

The book is structured into several key thematic chapters:

• Classical Theorems: It provides in-depth proofs and applications of Fermat's Little Theorem (Chapter 6) and Wilson's Theorem (Chapter 7). These sections focus on modular arithmetic and primality testing.
• Arithmetic Functions: Chapter 8 covers the properties of functions such as the sum and number of divisors. In contrast, Chapter 10 focuses specifically on Euler's Phi-Function and its role in reduced residue systems.
• Inversion Formulas: Chapter 9 introduces the Möbius Function and the Möbius Inversion Formula, detailing how they establish relationships among various arithmetic functions.

Each chapter is designed with clear Learning Objectives (LOs) and Chapter Outcomes (COs). To reinforce learning, the book includes worked examples, exercise sets, and Multiple Choice Questions (MCQs) for exam preparation.

The text emphasises not just computational skills, but also the development of proof-writing and analytical thinking necessary for higher studies in mathematics and data science.