Skip to content
HomeVideosBooks
AllTopicsTrends
BlogsPodcasts
HistoryListsWatch laterLiked videosFollowing

The videos, books, blogs and podcasts Hacker News keeps recommending, all in one place.

VideosBooksBlogsPodcastsAboutPrivacySettings

Data from Hacker News, HackerTube, HackerBooks, HackerBlogs and Open Library. Credits · Not affiliated with Y Combinator.

HomeVideosBooksBlogsPodcasts
Ctrl K
    Illustrated Theory of NumbersMartin H. Weissman

    Illustrated Theory of Numbers

    Martin H. Weissman · 2017

    An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history.

    Design & UX
    Open LibraryAmazon
    Stats for nerds
    6recommend
    6mentions
    6people
    2017–2022years
    100% recommend

    Mentions per year

    201720182019202020212022

    What Hacker News says

    1. cammikebrownJul 2022
      I love visual math like this so much. I had a professor at my alma mater, UC Santa Cruz, who made a textbook called “Illustrated Theory of Numbers”, and it’s just beautiful. Marty Weissman, check it out sometime
      thread
    2. chrispeelMar 2021
      You emphasized your boys' focus on math and science. One approach which might be appealing to them and to the school is to change the focus from cryptocurrency to cryptography. You can google "cryptography for kids" or aim them at the "Illustrated Theory of Numbers" which covers prime factorization in chapter 2. Cryptography is the foundation of all blockchain and cryptocurrency tech and (I believe) will only grow in importance in the future.

      (BTW, there are some communities, r/crypto [2] for example, which don't like the use of "crypto" to mean "cryptocurrency")

      [1] http://illustratedtheoryofnumbers.com/

      [2] https://www.reddit.com/r/crypto/

      thread
    3. jacobolusJul 2020
      If you like pictures, another couple nice books are Nathan Carter’s Visual Group Theory and Marty Weissman’s Illustrated Theory of Numbers, both of which should be accessible to motivated high school students.

      http://web.bentley.edu/empl/c/ncarter/vgt/

      http://illustratedtheoryofnumbers.com

      thread
    4. charlescearlJul 2020
      My 13 year old and I have through parts of the first three chapters of "An Illustrated Theory of Numbers". I would reckon that if your student is motivated and at upper high school level, they would have the sophistication to go at it alone. It is just a beautiful book also, with lots of exercises and the associate website http://illustratedtheoryofnumbers.com/ also has Python notebooks if they are into programming.
      thread
    5. abhghJul 2020
      I recently gifted Illustrated Theory of Numbers to a friend, and it is indeed beautifully illustrated.

      I would also recommend "Prime Numbers and the Riemann Hypothesis" for its illustrations and exposition [1].

      [1] https://www.amazon.com/gp/product/1107499437

      thread
    6. rhythmvsApr 2017
      tl;dr: ‘… I am convinced that “translating” Euclid into modern algebraic notation is historically destructive … In writing the Illustrated Theory of Numbers, I am trying to give respect to history. … In the style of Tufte …’

      Do check out the published page spread previews of this book-in-progress: they’re beautiful!

      thread

    Related

    Cover of Number words and number symbols
    2018–2022

    Number words and number symbols

    Karl A. Menninger
    2 recommend · 3
    Cover of On numbers and games
    2008–2026

    On numbers and games

    John Horton Conway
    15 recommend · 28
    Cover of Visual group theory
    2014–2026

    Visual group theory

    Nathan C. Carter
    15 recommend · 33
    MathematicsA. D Aleksandrov
    2009–2026

    Mathematics

    A. D Aleksandrov
    26 recommend · 42
    Cover of The mathematical theory of communication
    2009–2026

    The mathematical theory of communication

    Claude Elwood Shannon
    47 recommend · 118
    Cover of An introduction to the theory of numbers
    2010–2026

    An introduction to the theory of numbers

    Ivan Morton Niven
    6 recommend · 11
    Cover of A friendly introduction to number theory
    2013–2024

    A friendly introduction to number theory

    Joseph H. Silverman
    2 recommend · 2
    Cover of A Computational Introduction to Number Theory and Algebra
    2015–2020

    A Computational Introduction to Number Theory and Algebra

    Victor Shoup
    4 recommend · 4