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2 Remote Warehouse Science Reference- General

Three Pearls of Number Theory

by

Three Pearls of Number Theory Cover

 

Synopses & Reviews

Publisher Comments:

These three puzzles involve the proof of a basic law governing the world of numbers known to be correct in all tested cases — the problem is to prove that the law is always correct. Includes van der Waerden's theorem on arithmetic progressions, the Landau-Schnirelmann hypothesis and Mann's theorem, and a solution to Waring's problem. Proofs and explanations of the answers included.

Synopsis:

Faced with the unrelieved tedium of a hospital stay, a Russian soldier recuperating from his World War II injuries begged one of his former instructors for something to occupy his mind. The professor replied with "Three Pearls of Number Theory", a trio of mathematical problems as absorbing today as they were more than 50 years ago.

Table of Contents

A LETTER TO THE FRONT (IN LIEU OF A PREFACE)

CHAPTER I.

  VAN DER WAERDEN'S THEOREM ON ARITHMETIC PROGRESSIONS

CHAPTER II.

  THE LANDAU-SCHNIRELMANN HYPOTHESIS AND MANN'S THEOREM

CHAPTER III.

  AN ELEMENTARY SOLUTION OF WARING'S PROBLEM

Product Details

ISBN:
9780486400266
Translator:
Bagemihl, F.
Author:
Khinchin, A. Y.
Author:
Akovlevich, I.
Author:
Mathematics
Author:
Khinchin, Aleksandra
Author:
Bagemihl, F.
Publisher:
Dover Publications
Location:
Mineola, NY :
Subject:
General
Subject:
Number Theory
Subject:
General Mathematics
Subject:
Science Reference-General
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20100731
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
64
Dimensions:
8.5 x 5.38 in 0.23 lb

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Related Subjects

Children's » Activities » General
Reference » Science Reference » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory
Young Adult » General

Three Pearls of Number Theory New Trade Paper
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Product details 64 pages Dover Publications - English 9780486400266 Reviews:
"Synopsis" by , Faced with the unrelieved tedium of a hospital stay, a Russian soldier recuperating from his World War II injuries begged one of his former instructors for something to occupy his mind. The professor replied with "Three Pearls of Number Theory", a trio of mathematical problems as absorbing today as they were more than 50 years ago.
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