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Fibonacci proof in SICP

Name: Anonymous 2008-12-10 19:06

I was working through SICP on /prog/'s advice, and things were going smoothly.  It was all high school level stuff, tricky but nothing I couldn't get my head round using enough diagrams and patience.  That was until exercise 1.13: proving Fib(n) is the closest integer to ϕ^n/sqrt(5).

I can follow along the workings of simple proofs, but to actually generate them I've always considered one of those things mathematicians do by magic or something.  I found a solution at http://www.kendyck.com/math/sicp/ex1-13.xml , and there's zero chance I'd have solved it myself.

Should I abandon SICP and seek the mysteries of the mathematicians instead?  I know Dijkstra was big on proofs, but he was a weirdo who didn't even own a computer until his colleagues insisted on it, and I don't see much formally proved code in practical use.  Does the rest of SICP have many more exercises like this?

Name: Anonymous 2008-12-10 19:19

It has quite a few, although they aren't required to understand the message of the book. After all, it's the STRUCTURE AND INTERPRETATION OF COMPUTER PROGRAMS, and mathematical proofs aren't integral.

That said, you should also look into mathematics. Remember that functional programming in scheme is just applied lambda calculus with syntactical differences.

Name: Anonymous 2009-07-21 3:18

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Name: Anonymous 2010-12-20 16:37

Name: Anonymous 2011-02-04 12:49

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