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Recreations in the Theory of Numbers

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Recreations in the Theory of Numbers Cover

ISBN13: 9780486210964
ISBN10: 0486210960
Condition: Standard
All Product Details

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Synopses & Reviews

Publisher Comments:

Number theory, the Queen of Mathematics, is an almost purely theoretical science. Yet it can be the source of endlessly intriguing puzzle problems, as this remarkable book demonstrates. This is the first book to deal exclusively with the recreational aspects of the subject and it is certain to be a delightful surprise to all devotees of the mathematical puzzle, from the rawest beginner to the most practiced expert. Almost every aspect of the theory of numbers that could conceivably be of interest to the layman is dealt with, all from the recreational point of view. Readers will become acquainted with divisors, perfect numbers, the ingenious invention of congruences by Gauss, scales of notation, endless decimals, Pythagorean triangles (there is a list of the first 100 with consecutive legs; the 100th has a leg of 77 digits), oddities about squares, methods of factoring, mysteries of prime numbers, Gauss's Golden Theorem, polygonal and pyramidal numbers, the Pell Equation, the unsolved Last Theorem of Fermat, and many other aspects of number theory, simply by learning how to work with them in solving hundreds of mathematical puzzle problems. The text is extremely clear and easy to follow, and it bears convincing evidence of the author's deep sense of humor and his outstanding ability to lure the reader through even the most difficult trails by skillfully revealing their fascination. The problems distributed throughout the book are explained in the final chapter and there is also a supplementary chapter containing 100 problems and their solutions, many original. There are over 100 tables.

The appeal of these stimulating puzzles lies in their ready comprehensibility and the fact that only high school math is needed to master the fundamental theory presented by the author. This theory is itself interesting and of use to the more serious math student, but it may be omitted by lay readers without diminishing the book's challenge or detracting from the pleasure-giving nuggets it contains.

Synopsis:

Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.

Synopsis:

Number theory, an inexhaustible source of puzzles, recreations, for beginners and advanced. Divisors, perfect numbers, scales of notation, etc.

Synopsis:

Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.

Table of Contents

Presentation at Court

Divisors for Diversion

Perfection

Just Between Friends

Invention of the Master

Open Sesame

The Cup of Tantalus

Digits--and the Magic of 9

Scales and Discords

Cycling Towards Infinity

11111 ... 111

phi--Fie--Fo--Fum

Queer Logs--Back to the Primitive

The Eternal Triangle

On the Square

Farey Tails

Round the Perimeter

Ball Games

Theorema Aureum

Among the Himalayas

Resolution

The Pellian

Morphology

The Stone Wall

Tilts and Tourneys

The Queen Explains: Solutions to Problems

Index

What Our Readers Are Saying

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Average customer rating based on 1 comment:

tgbrowning, August 15, 2009 (view all comments by tgbrowning)
Delightful book. Beiler takes you on a wonderous tour of number theory, with tidbits that one vaguely recalls from grade school mathematics as a start for interesting trails through numbers. Useful as well. Old tricks like "casting out 9s", now largely unknown to students who have the benefit of calculators, is introduced and expanded to a dozen other mathematical oddities such as congruence, Pell Equations and prime number distribution. Beiler's style is open, funny and always light.
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Product Details

ISBN:
9780486210964
Author:
Beiler, Albert
Publisher:
Dover Publications
Author:
Beiler, Albert
Author:
Beiler, Albert H.
Location:
New York :
Subject:
General
Subject:
Mathematics
Subject:
Games, magic and puzzles
Subject:
Number Theory
Subject:
Hobbies and games
Subject:
Puzzles
Subject:
Recreations & Games
Subject:
Mathematical recreations
Subject:
General Mathematics
Subject:
Mathematics-Number Theory
Copyright:
Edition Number:
2
Edition Description:
Trade Paper
Series:
Dover Recreational Math
Series Volume:
81-1276
Publication Date:
19640631
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
349
Dimensions:
8.5 x 5.38 in 1.09 lb

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Related Subjects

Arts and Entertainment » Art » Style and Design
Hobbies, Crafts, and Leisure » Games » General Puzzles
Science and Mathematics » Mathematics » Games and Puzzles
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory

Recreations in the Theory of Numbers Used Trade Paper
0 stars - 0 reviews
$5.95 In Stock
Product details 349 pages Dover Publications - English 9780486210964 Reviews:
"Synopsis" by ,
Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.
"Synopsis" by , Number theory, an inexhaustible source of puzzles, recreations, for beginners and advanced. Divisors, perfect numbers, scales of notation, etc.

"Synopsis" by ,
Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.
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