Number Theory

Description

Number Theory: Step by Step is an undergraduate-level introduction to number theory that assumes no prior knowledge, but works to gradually increase the reader's confidence and ability to tackle more difficult number theory material.

• Step-by-step explanations of concepts throughout
• Enables self-study or distance learning, with explicit solutions available via companion website
• Numerous examples are given to help aid understanding of number theory
• Focuses on the study of positive integers using only elementary methods

About the Author(s)

Kuldeep Singh, Senior Lecturer, University of Hertfordshire

Kuldeep Singh has held the position of Senior Lecturer in Mathematics at the University of Hertfordshire for over twenty years, where he teaches linear algebra to entry level undergraduates. He is also the author of Engineering Mathematics through Applications (Palgrave Macmillan), a book that used widely as the basis for undergraduate studies in many different countries. He hosts and regularly updates his Maths for All website dedicated to mathematics. Senior Lecturer in Mathematics at the University of Hertfordshire.

Table of Contents

1:A Survey of Divisibility
2:Primes and Factorization
3:Theory of Modular Arithmetic
4:A Survey of Modular Arithmetic with Prime Moduli
5:Euler's Generalization of Fermat's Theorem
6:Primitive Roots and Indices
7:Quadratic Residues
8:Non-Linear Diophantine Equations