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An Illustrated Theory of Numbers

4.7 4.7 out of 5 stars 64 ratings

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Editorial Reviews

Review


This is a meticulously written and stunningly laid-out book influenced not only by the classical masters of number theory like Fermat, Euler, and Gauss, but also by the work of Edward Tufte on data visualization. Assuming little beyond basic high school mathematics, the author covers a tremendous amount of territory, including topics like Ford circles, Conway's topographs, and Zolotarev's lemma which are rarely seen in introductory courses. All of this is done with a visual and literary flair which very few math books even strive for, let alone accomplish.

-- Matthew Baker, Georgia Institute of Technology

“An Illustrated Theory of Numbers” is a textbook like none other I know; and not just a textbook, but a work of practical art. This book would be a delight to use in the undergraduate classroom, to give to a high school student in search of enlightenment, or to have on your coffee table, to give guests from the world outside mathematics a visceral and visual sense of the beauty of our subject.

-- Jordan Ellenberg, University of Wisconsin-Madison, author of “How Not to Be Wrong: the Power of Mathematical Thinking”

Weissman's book represents a totally fresh approach to a venerable subject. Its choice of topics, superb exposition and beautiful layout will appeal to professional mathematicians as well as to students at all levels.

-- Kenneth A. Ribet, University of California, Berkeley

About the Author

Martin H. Weissman, University of California, Santa Cruz, CA.

Product details

  • Publisher ‏ : ‎ American Mathematical Society (August 8, 2017)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 323 pages
  • ISBN-10 ‏ : ‎ 1470434938
  • ISBN-13 ‏ : ‎ 978-1470434939
  • Item Weight ‏ : ‎ 2.65 pounds
  • Dimensions ‏ : ‎ 8.5 x 1 x 11 inches
  • Customer Reviews:
    4.7 4.7 out of 5 stars 64 ratings

About the author

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Martin Weissman (1976-) grew up in St. Louis, Missouri. He studied mathematics at Princeton University (A.B.) and Harvard University (PhD), before moving west for a postdoc at UC Berkeley. From there, he moved down the coast to join the faculty at UC Santa Cruz. A researcher in number theory and representation theory, he has taught elementary number theory for undergraduates and graduate students, K-12 teachers, and high-school students.

More information and papers can be found at martyweissman.com . Supplementary material for An Illustrated Theory of Numbers can be found at illustratedtheoryofnumbers.com. Check out that page for errata, an introduction to Python programming for number theory, art prints and more!

Customer reviews

4.7 out of 5 stars
4.7 out of 5
64 global ratings

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