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Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem
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All the comments and stories posted to Hacker News that reference this book.While I think there are some merits to this approach, I think some caution is also needed.There are numerous times where I've read a lot of material quickly, not really mastering it but making a mental note of where to find that later. It's easy enough to go back and look up facts, reference material, or techniques for solving a particular kind of problem later, you don't need that to change your life.
Another other problem is: it's hard to know what books will change your life. For me, Fermat's Enigma (https://www.amazon.com/Fermats-Enigma-Greatest-Mathematical-...) and The Last Lecture (https://www.amazon.com/Last-Lecture-Randy-Pausch/dp/14013232...) were both life changers, but it would have been hard to know that going in to reading them.
Still another problem is that there are multiple ways at getting repetition. One approach is to read one book really intently. Another approach though is to consume similar related media over a period of time. If you listen to a weekly podcast (like EconTalk, for one example), very often similar themes come up over and over again. Or you can read several books by one author, or a group of related authors.
Finally, and maybe this is a more minor point, the post's author mentions taking down great quotes. One thing I've realized from my reading is that great quotes sometimes help summarize and understand the flow, but pretty often they don't. One of the nice thing about reading on the Kindle app on a phone is that there are multiple colors for highlighting, and I find it helps to highlight differently for "this is an awesome quote" vs. "this sentence is important in following the structure of the argument."
Have you read Fermat's Enigma by Simon Singh? It's a great book on how Andrew Wiles went about solving it. Great book. Highly recommend you give it a read! https://www.amazon.com/Fermats-Enigma-Greatest-Mathematical-...
If interested there is a very good book about this subject: http://www.amazon.com/Fermats-Enigma-Greatest-Mathematical-P...
⬐ davnicwilSeconded, the subject matter is fascinating and the human story of Wiles' difficult journey and ultimate accomplishment is gripping. One of the books I've most enjoyed ever on any topic, let alone in popular science / maths. It's Singh's best work.⬐ aidosHa. I've read it as "Fermat's Last Theorem" - guess that's the UK name.For anyone who hasn't read them Simon Singh's books are great introductions to subjects by tracking their history. In this case mathematics, but he also has one about cryptography [1] and another on the space and the universe [2].
[1] http://www.amazon.co.uk/Code-Book-Science-Secrecy-Cryptograp...
[2] http://www.amazon.co.uk/Big-Bang-Important-Scientific-Discov...
I recently read a similar case in Simon Singh's book Fermat's Enigma http://www.amazon.com/reader/0385493622?_encoding=UTF8&query... about the 14-15 puzzle. It was similarly unsolvable and provable the same way.Interestingly, his account is rather different than that on wikipedia http://en.wikipedia.org/wiki/15_puzzle Singh claims that Sam Lloyd created the puzzle, secretly proved it was impossible, and offered rewards to anyone who could solve it.