Description:

Ten years ago the writer of a mathematics

textbook would have been considered

frivolous by his colleagues if his book in-

cluded puzzles and other entertaining

topics. This is no longer true. Exercises in

the first two volumes of Donald E. Knuth's

monumental work in progress,  The Art

of Computer Programming  (Reading:

Addison-Wesley, 1968, 1969), are filled

with recreational material. There are even

textbooks in which a recreational emphasis

is primary.  A  delightful instance is Harold

R. Jacobs's  Mathematics:  A  Human En-

deavor,  subtitled  A  Textbook for Those

Who Think They Don't Like the Subject

(San Francisco:  W.  H.  Freeman and Co.,

1970). Richard Bellman, Kenneth L. Cooke,

and Jo Ann Lockett, authors of  Algorithnzs,

Graphs,  and  Computers  (New York: Aca-

demic Press, 1970), write in their preface,

"The principal medium  we  have chosen to

achieve our goals is the mathematical

puzzle."

The trend is not hard to understand. It

is part of the painfully slow recognition by

educators that students learn best who are

motivated best. Mathematics has never

been a dreary topic, although too often it

has been taught in the dreariest possible

way. There is no better way to relieve the

tedium than by injecting recreational top-

ics into a course, topics strongly tinged

with elements of play, humor, beauty, and

surprise. The greatest mathematicians al-

ways looked upon their subject as a source

of intense intellectual delight and seldom

hesitated to pursue problems of a recre-

ational nature. If you flip the leaves of

W. W.  Rouse Ball's classic British work,

Mathematical  Recreations  and Essays

(first published by Macmillan in  1892  and

soon to be issued in a twelfth revised edi-

tion), you will find the names of celebrated

mathematicians on almost every page.

Euclid himself, among the earliest of

the mathematical giants, wrote an entire

book (unfortunately it did not survive) on

geometrical fallacies. This is a topic cov-

ered in standard works on recreational

mathematics but curiously avoided in most

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Sixth Book of Mathematical Diversions PDF

268 Pages·1971·6.8621 MB·other
by  Ronald Graham
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About Sixth Book of Mathematical Diversions

<p>Ten years ago the writer of a mathematics</p><p>textbook would have been considered</p><p>frivolous by his colleagues if his book in-</p><p>cluded puzzles and other entertaining</p><p>topics. This is no longer true. Exercises in</p><p>the first two volumes of Donald E. Knuth's</p><p>monumental work in progress,&nbsp; The Art</p><p>of Computer Programming&nbsp; (Reading:</p><p>Addison-Wesley, 1968, 1969), are filled</p><p>with recreational material. There are even</p><p>textbooks in which a recreational emphasis</p><p>is primary.&nbsp; A&nbsp; delightful instance is Harold</p><p>R. Jacobs's&nbsp; Mathematics:&nbsp; A&nbsp; Human En-</p><p>deavor,&nbsp; subtitled&nbsp; A&nbsp; Textbook for Those</p><p>Who Think They Don't Like the Subject</p><p>(San Francisco:&nbsp; W.&nbsp; H.&nbsp; Freeman and Co.,</p><p>1970). Richard Bellman, Kenneth L. Cooke,</p><p>and Jo Ann Lockett, authors of&nbsp; Algorithnzs,</p><p>Graphs,&nbsp; and&nbsp; Computers&nbsp; (New York: Aca-</p><p>demic Press, 1970), write in their preface,</p><p>"The principal medium&nbsp; we&nbsp; have chosen to</p><p>achieve our goals is the mathematical</p><p>puzzle."</p><p>The trend is not hard to understand. It</p><p>is part of the painfully slow recognition by</p><p>educators that students learn best who are</p><p>motivated best. Mathematics has never</p><p>been a dreary topic, although too often it</p><p>has been taught in the dreariest possible</p><p>way. There is no better way to relieve the</p><p>tedium than by injecting recreational top-</p><p>ics into a course, topics strongly tinged</p><p>with elements of play, humor, beauty, and</p><p>surprise. The greatest mathematicians al-</p><p>ways looked upon their subject as a source</p><p>of intense intellectual delight and seldom</p><p>hesitated to pursue problems of a recre-</p><p>ational nature. If you flip the leaves of</p><p>W. W.&nbsp; Rouse Ball's classic British work,</p><p>Mathematical&nbsp; Recreations&nbsp; and Essays</p><p>(first published by Macmillan in&nbsp; 1892&nbsp; and</p><p>soon to be issued in a twelfth revised edi-</p><p>tion), you will find the names of celebrated</p><p>mathematicians on almost every page.</p><p>Euclid himself, among the earliest of</p><p>the mathematical giants, wrote an entire</p><p>book (unfortunately it did not survive) on</p><p>geometrical fallacies. This is a topic cov-</p><p>ered in standard works on recreational</p><p>mathematics but curiously avoided in most</p>

Detailed Information

Author:Ronald Graham
Publication Year:1971
ISBN:226282503
Pages:268
Language:other
File Size:6.8621
Format:PDF
Price:FREE
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