Journey Through Genius

What Hacker News says

1. edanmMar 2026
   I'm a purely amateur mathematician and not a physicist at all, but I completely agree with you that maths is missing this "midway between pop-math and real-math-textbook" kind of book.

   One book that I can't recommend more highly is William Dunham's "Journey Through Genius". He picks ten or so the greatest proofs in math over the centuries, then proceeds to give you all the historical background about why they were created, who created them, etc, and then proceeds to give the full details of the proofs themselves. Including showing places the proof is considered wrong by modern standards.

   It's my favorite "semi-pop-math" book, I highly recommend it.

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2. kevindammAug 2024
   I found it helpful in some of my University math classes when I actually took the time to read the biographies that some of the textbooks included, the classes when I skimmed past them I did not remember details of the proof formulae for. But I don't know if this says more about the aid of history to the process of remembering or about my a priori interest in the topic for those particular classes.

   For a really good example of integrating the history along with the mathematics, and much more accessible than those math texts, I would recommend "Journey Through Genius" by Dunham[0]. It may be a little dated (published in 1990) and its focus is limited to algebra, geometry, number theory, and the history is perhaps too Western-biased, but it's good and it's short. Its material would make a solid foundation to build on top of because, in addition to the historical context, it shows a lot of the thought process into approaching certain landmark problems.

   [0]: https://www.goodreads.com/en/book/show/116185

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3. A_D_E_P_TMar 2024
   The best math book I've ever read -- which I think can completely transform somebody's appreciation of math -- was William Dunham's "Journey Through Genius - The Great Theorems of Mathematics."

   What this book did was place mathematics in human and historical context. It starts with Hippocrates' Quadrature of the Lune, then moves on to Euclid's proof of the Pythagorean theorem, and moves along through history all the way down to Euler and Cantor.

   I've always thought that the book's format or method is the best way to teach mathematics in a general sense. It beats the rote practice of formulae out of context, and it simultaneously teaches the history of mathematics and science. I'm always gifting parents of school-age children copies of this book.

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4. econnerJan 2024
   For anyone coming back to math I can't recommend enough the book "Journey through Genius: The Great Theorems of Mathematics". It's interesting how much of algebra came originally from geometry and the path to developing these fields makes it so much more intriguing / understandable vs just learning math to learn math.
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5. version_fiveApr 2023
   I'd recommend "Journey through genius" by William Dunham. There's a bunch of great stuff in there including two chapters about Georg Cantor and his explorations of infinity, including how he showed there is no 1:1 correspondence between integers and real numbers, while there is one between integers and rationals.
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6. version_fiveApr 2023
   "Journey through genius" by William Dunham. It's not comprehensive, in the sense that it selectively samples the evolution of math from antiquity to about the 20th century, but it fits the bill of a pop-sci book that also shows the real math (at about a high school level) while covering the history and personalities involved. I've read it several times and really enjoy it.

   Edit: I clicked though and I see that (for me) William Dunham is actually the author of the first article in the list.

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