Nuggets of Number Theory: A Visual Approach (Classroom Resource Materials) by Roger B. Nelsen (PDF)

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Ebook Info

  • Published: 2018
  • Number of pages: 153 pages
  • Format: PDF
  • File Size: 4.78 MB
  • Authors: Roger B. Nelsen

Description

Nuggets of Number Theory will attract fans of visual thinking, number theory, and surprising connections. This book contains hundreds of visual explanations of results from elementary number theory. Figurate numbers and Pythagorean triples feature prominently, of course, but there are also proofs of Fermat’s Little and Wilson’s Theorems. Fibonacci and perfect numbers, Pell’s equation, and continued fractions all find visual representation in this charming collection. It will be a rich source of visual inspiration for anyone teaching, or learning, number theory and will provide endless pleasure to those interested in looking at number theory with new eyes. Author Roger Nelsen is a long-time contributor of Proofs Without Words in the MAA’s Mathematics Magazine and College Mathematics Journal. This is his twelfth book with MAA Press.

User’s Reviews

Editorial Reviews: Review The starting point for this book was the author’s observation that many number theory texts contain few figures. He wrote an article for Math Horizons in 2008 that showed ways to use figures (the article was reprinted in the book “Biscuits of Number Theory”), and eventually expanded it to the present book. The book starts out with figurate numbers (squares, triangular numbers, etc.) that have an obvious picture, but quickly moves to other areas that we usually don’t think of visually. This is not a complete introduction to number theory, but it does cover a good sampling, with something about congruences, Diophantine equations, irrational numbers, perfect numbers, and Fibonacci numbers. –Allen Stenger, MAA Reviews About the Author Roger B. Nelsen: Lewis & Clark College, Portland, OR

Reviews from Amazon users which were colected at the time this book was published on the website:

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