TY  - BOOK
AU  - Hill, Richard Michael
TI  - Introduction to Number Theory
T2  - Essential Textbooks in Mathematics
SN  - 9780000988805 (PB)
PY  - 2020///
CY  - Singapore
PB  - World Scientific
KW  - Prime numbers
KW  - Polynomials
KW  - Quadratic rings
N1  - Includes bibliographical references (pages 243-244) and index; 1. Euclid's Algorithm
2. Polynomial Rings
3. Congruences Modulo Prime Numbers
4. p-Adic Methods in Number Theory
5. Diophantine Equations and Quadratic Rings
6. Solutions to Exercises
N2  - Introduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers.

The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions.

Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics
ER  -