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Objective RD Sharma for IIT JEE

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Higher Engineering Mathematics by B.S. Grewal

Product details Reading level: 16+ years Paperback: 1238 pages Publisher: Khanna Publishers; Forty Fourth edition (1965) Language: English ISBN-10: 9788193328491 ISBN-13: 978-8193328491 ASIN: 8193328493 Package Dimensions: 27.8 x 21.6 x 5.2 cm Buy:  Higher Engineering Mathematics Paperback – 1965 by B.S. Grewal (Author) Pdf Download: https://drive.google.com/file/d/0B8Nl3U5dzHu0X3gxbzdXcEk4Qk0/view?usp=sharing
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Why 1729 number is so special?

1729 is the natural number following 1728 and preceding 1730. It is known as the Hardy-Ramanujan number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital. He related their conversation: I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways." The two different ways are:1729 = 13 + 123 = 93 + 103 The quotation is sometimes expressed using the term "positive cubes", since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729):91 = 63 + (−5)3 = 43 + 33 Numbers that are the smallest number that can be expressed as ...
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