Items related to Proof of Bertrand's Postulate: Proof of Bertrand's...
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 - Softcover
Synopsis
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 Erdős; 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.
"synopsis" may belong to another edition of this title.
Reseña del editor
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 Erdős; 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.
"About this title" may belong to another edition of this title.
Search results for Proof of Bertrand's Postulate: Proof of Bertrand's...
Seller Image
Proof of Bertrand's Postulate
Published by
VDM Verlag Dr. Müller E.K. Jan 2010, 2010
ISBN 10: 6130344066
ISBN 13: 9786130344061
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. Englisch. Seller Inventory # 9786130344061
Seller Image
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
Print on DemandSeller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. 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. Seller Inventory # 9786130344061