History of Continued Fractions and Pad Approximants is popular PDF and ePub book, written by Claude Brezinski in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, History of Continued Fractions and Pad Approximants can be Read Online from any device for your convenience.
History of Continued Fractions and Pad Approximants Book PDF Summary
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
Detail Book of History of Continued Fractions and Pad Approximants PDF
- Author : Claude Brezinski
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642581694
- Genre : Mathematics
- Total Page : 556 pages
- Language : English
- PDF File Size : 15,7 Mb
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