#646 in Science & math books
Reddit mentions of Continued Fractions (Dover Books on Mathematics)
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Reddit mentions: 3
We found 3 Reddit mentions of Continued Fractions (Dover Books on Mathematics). Here are the top ones.
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Features:
Specs:
Height | 8.46 Inches |
Length | 5.38 Inches |
Number of items | 1 |
Release date | May 1997 |
Weight | 0.28 Pounds |
Width | 0.24 Inches |
You are in a very special position right now where many interesing fields of mathematics are suddenly accessible to you. There are many directions you could head. If your experience is limited to calculus, some of these may look very strange indeed, and perhaps that is enticing. That was certainly the case for me.
Here are a few subject areas in which you may be interested. I'll link you to Dover books on the topics, which are always cheap and generally good.
Basically, don't limit yourself to the track you see before you. Explore and enjoy.
If you want a proper introduction that does things rigorously but is accessible without any advanced math knowledge (except the last section becomes serious analysis pretty quickly), Khinchin's book is probably the best choice (though it is quite old and it translated from Russian): http://www.amazon.com/Continued-Fractions-Dover-Books-Mathematics/dp/0486696308
If you want something more modern, you likely need to find a book on number theory that has a chapter or two on continued fractions since that's mostly where they come up (approximations to rationals etc).
On the other hand, for most continued fraction expressions that come up, Euler's formula is often enough: https://en.wikipedia.org/wiki/Euler's_continued_fraction_formula
Perhaps the Dover book on Continued Fractions by Khinchin. It may be terse but after about a century it remains quite good.