Research Catalog

Number theory : a historical approach

Title
Number theory : a historical approach / John J. Watkins.
Author
Watkins, John J.
Publication
Princeton : Princeton University Press, [2014]

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TextRequest in advance QA241 .W328 2014Off-site

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Description
xiv, 576 pages : illustrations; 27 cm
Summary
"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) "--
Subject
  • Number theory
  • MATHEMATICS / Number Theory
  • MATHEMATICS / Counting & Numeration
  • Zahlentheorie
Note
  • Includes bibliographical references (pages 563-567) and index.
Bibliography (note)
  • Includes bibliographical references and index.
ISBN
  • 9780691159409 (hardback)
  • 0691159408 (hardback)
LCCN
  • 2013023273
  • 99958421972
OCLC
  • 852681853
  • ocn852681853
  • SCSB-5743419
Owning Institutions
Columbia University Libraries