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Ganita Kaumudi : ウィキペディア英語版
Ganita Kaumudi
Ganita Kaumudi is a treatise on mathematics written by Indian mathematician Narayana Pandit in 1356. It was an arithmetical treatise alongside the other algebraic treatise called "Bijganita Vatamsa" by Narayana Pandit. It was written as a commentary on the Lilāvati by Bhāskara II.
==Contents==
Ganita Kaumudi contains many results from combinatorics and
continued fractions. In the text Narayana Pandit used the knowledge of simple recurring continued fraction in the solutions of indeterminate equations of the type nx^2+k^2=y^2.
Narayana Pandit noted the equivalence of the figurate numbers and the formulae for the number of combinations of different things taken so many at a time.
The book contains a rule to determine the number of permutations of ''n'' objects and a classical algorithm for finding the next permutation in lexicographic ordering though computational methods have advanced well beyond that ancient algorithm. Donald Knuth describes many algorithms dedicated to efficient permutation generation and discuss their history in his book ''The Art of Computer Programming''.

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