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Diophantine Approximations (Dover Books on Mathematics)

Ivan Niven




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 | #2406240 in Books |  2008-03-14 |  2008-03-14 | Original language:English | PDF # 1 |  8.50 x.17 x5.51l,.26 | File type: PDF | 78 pages

||11 of 11 people found the following review helpful.| some mathematical gems in the rough|By muddy glass|diophantine approximation is a topic in number theory that deals with the approximation of irrational numbers by rational numbers. for example, the golden ratio [1+sqrt(5)]/2 is approximately 21/13 (or other ratios of fibonacci numbers), which can be easily seen via phi's continued fraction expansion. niven's "diophantine app

This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts.
The author refrains from the use...

You easily download any file type for your gadget.Diophantine Approximations (Dover Books on Mathematics)   |  Ivan Niven. A good, fresh read, highly recommended.

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