Proof of Bertrand's Postulate : Proof of Bertrand's Postulate, Projection Linear Algebra, Linear Algebra, Functional Analysis, Vector Projection, Technical Drawing, Orthographic Projection, Linear Map

Language: English

Published by Omniscriptum, 2010

6130344066 / 9786130344061

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nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, Bertrand's postulate states that for each n 2 there is a prime p such that n p 2n. It was first proven by Pafnuty Chebyshev, and a short but advanced proof was given by Srinivasa Ramanujan. The gist of the following elementary but involved proof by contradiction is due to Paul Erd s; the basic idea of the proof is to show that a certain binomial coefficient needs to have a prime factor within the desired interval in order to be large enough. It is then shown by some extended computation that the second fact is inconsistent with the first one. Therefore Bertrand's postulate must hold. In order to present the main argument of the proof intelligibly, these lemmas and a few auxiliary claims are proved separately first.

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Title
Proof of Bertrand's Postulate : Proof of Bertrand's Postulate, Projection Linear Algebra, Linear Algebra, Functional Analysis, Vector Projection, Technical Drawing, Orthographic Projection, Linear Map
Author
Lambert M. Surhone
Publisher
Omniscriptum
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6130344066
ISBN 13
9786130344061
Item weight
179 grams
Dimensions
220x150x7 mm

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