The Art of Insight in Science and Engineering
mitpress.mit.edu
mitpress.mit.edu
> This book was typeset entirely with free software and fonts. The text is set in Palatino, designed by Hermann Zapf and available as TEX Gyre Pagella. The headings are set in Latin Modern Sans, based on Computer Modern Sans, designed by Donald Knuth. The source files were created with GNU Emacs and managed with the Mercurial revision-control system. The figure source files were compiled with MetaPost 1.999 and Asymptote 2.31. The TEX source was compiled to PDF using ConTeXt 2014.05.17 and LuaTeX 0.79.1. The compilations were managed with GNU Make and took 10 minutes on a 2006-vintage Thinkpad T60 laptop. All software was running on Debian GNU/Linux. A heartfelt thank you to all who contribute to the software commons!
Edit: If anyone here works on the MIT Press website, for some reason I can't add the paperback item to my cart. When I click the link it takes me to an empty cart every time (vanilla Chrome, no plugins).
So you are just seeing an empty cart each time? Would you mind trying to refresh?
Bill Trippe MIT Press
Grab "entire book" (about 130 pages) at http://ocw.mit.edu/courses/electrical-engineering-and-comput...
"The Art of Insight in Science and Engineering" looks like a refined and expanded version of the OCW course. Like 6.055J, I'm sure it can be read casually and in small pieces. Do yourself the favor of checking out 6.055J or "The Art of Insight in Science and Engineering" (although see the caveat below).
Every chapter of 6.055J was mind-blowing for me. The "tree" technique. Using dimensionless constants. The random walk model of errors (i.e. why approximations end up being pretty good usually). Easy cases. Etc. A lot of it is just becoming aware of techniques we already use subconsciously or awkwardly; hence we learn to systematically and effectively use them.
One small caveat: Some of the content unfortunately doesn't extend super well into software/programming. Many of the useful properties that enable reasoning about physical systems (units, conservation laws, symmetry, equilibrium points/linearization, continuity, etc.) are not applicable to software in general since "anything is possible" in software. The software is basically in its own universe that has its own laws completely determined by the hardware/VM/language/API designers. It communicates with the "real universe" through very narrow and controlled channels. Some things from the book are applicable to software, but presented in a way that is strange or not terribly useful for software (e.g. "proportional reasoning" is just the familiar big-O reasoning).
-Sanjoy Mahajan
For the more mathematically inclined there's also a similar previous book by the same author, also available for free as a pdf: http://mitpress.mit.edu/books/street-fighting-mathematics
https://ebooks-it.org/mit-press-1.htm
Sadly it doesn't like back to the mitpress page and gives the files directly, but hey.
OMG, my high school teachers were so pissed off when I'd attempt to understand things rather than just memorize what they gave me. College was only marginally better.
Logical leap: time to return to the Platonic Academy