eBook - PDF

Number Theory

Name: Number Theory
Author: John J. Watkins

A Historical Approach

John J. Watkins,

592 pages
English
PDF
Available on iOS & Android

eBook - PDF

Number Theory

A Historical Approach

John J. Watkins,

About this book

An introductory textbook with a unique historical approach to teaching number theory

The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the most fascinating subjects in mathematics.

Written in an informal style by an award-winning teacher, Number Theory covers prime numbers, Fibonacci numbers, and a host of other essential topics in number theory, while also telling the stories of the great mathematicians behind these developments, including Euclid, Carl Friedrich Gauss, and Sophie Germain. This one-of-a-kind introductory textbook features an extensive set of problems that enable students to actively reinforce and extend their understanding of the material, as well as fully worked solutions for many of these problems. It also includes helpful hints for when students are unsure of how to get started on a given problem.

Uses a unique historical approach to teaching number theory
Features numerous problems, helpful hints, and fully worked solutions
Discusses fun topics like Pythagorean tuning in music, Sudoku puzzles, and arithmetic progressions of primes
Includes an introduction to Sage, an easy-to-learn yet powerful open-source mathematics software package
Ideal for undergraduate mathematics majors as well as non-math majors
Digital solutions manual (available only to professors)

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Yes, you can access Number Theory by John J. Watkins in PDF and/or ePUB format, as well as other popular books in Mathematics & Counting & Numeration. We have over one million books available in our catalogue for you to explore.