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jmed comments on The Best Textbooks on Every Subject - Less Wrong
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Subject: Problem Solving
Recommendation: Street-Fighting Mathematics The Art of Educated Guessing and Opportunistic Problem Solving
Reason: So, it has come to my attention that there is a freely available .pdf for the textbook for the MIT course Street Fighting Mathematics. It can be found here. I have only been reading it for a short while, but I would classify this text as something along the lines of 'x-rationality for mathematics'. Considerations such as minimizing the number of steps to solution minimizes the chance for error are taken into account, which makes it very awesome.
in any event, I feel that this should be added to the list, maybe under problem solving? I'm not totally clear about that, it seems to be in a class of its own.
If you come up with relevant comparison volumes, let me know!
Seemingly relevant comparison volumes:
Numbers Rule Your World: The Hidden Influence of Probabilities and Statistics on Everything You Do
Back-of-the-Envelope Physics
How Many Licks? Or, How to Estimate Damn Near Anything
Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
Also, the books below are listed as related resources in another class on approximation in science & engineering by the author of the Street-Fighting textbook on OCW, so they may be relevant for comparison, too, or at least interesting.
Engel, Arthur. Problem-solving Strategies. New York, NY: Springer, 1999. ISBN: 9780387982199.
Schmid-Nielsen, Knut. Scaling: Why is Animal Size So Important? New York, NY: Cambridge University Press, 1984. ISBN: 9780521319874.
Vogel, Steven. Life in Moving Fluids. 2nd rev. ed. Princeton, NJ: Princeton University Press, 1996. ISBN: 9780691026169.
Vogel, Steven. Comparative Biomechanics: Life's Physical World. Princeton, NJ: Princeton University Press, 2003. ISBN: 9780691112978.
Pólya, George. Induction and Analogy in Mathematics. Vol. 1, Mathematics and Plausible Reasoning. 1954. Reprint, Princeton, NJ: Princeton University Press, 1990. ISBN: 9780691025094.
Great list, thanks!