Ingenuity in mathematics

by Honsberger, Ross

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Title Statements

Full title :Ingenuity in mathematics / by Ross Honsberger.

Summary

Sit with this book for half to three-quarters of an hour and you will have mastered an elegant and pleasing bit of mathematics. Nineteen independent essays on topics including number theory, geometry, combinatorics, logic, and probability. The nineteen essays contained in this volume are independent of one another; they represent many different aspects of mathematical thinking. Standard high school courses in algebra and geometry furnish a sufficient basis for understanding each essay. The Topics treated in this volume include number theory, geometry, combinatorics, logic, probability; and the methods used often involve an interaction of these various disciplines. Some essays are easy to read, others are more challenging; some exercises are routine, others led the reader deeper into the subject.

Edition Statements

Publication Date:©1970.

Publication Statements

Publisher(s):Mathematical Association of America
Place of Publication:Washington, D.C
Language:eng
Publication Date:©1970.

Notes

Some of the later printings have an index included p. 205-206.

Reprint of the ed. published by Random House/Singer School Division in 1970.

The Physical Object

Description:1 online resource (vii, 204 pages) : : illustrations

Edition Identifiers

ISBN:9780883859384, 0883859386
oclc:ocn812190020
LC Classification:QA7
Dewey Decimal:510

Probability and [pi] -- Odd and even numbers -- Sylvester's problem of collinear triads -- The algebra of statements -- The Farey Series -- A property of a[superscript n] -- Squaring the square -- Writing a number as a sum of two squares -- The isoperimetric problem -- Five curiosities from arithmetic -- A problem of regiomontanus -- Complementary sequences -- Pythagorean arithmetic -- Abundant numbers -- Mascheroni and Steiner -- A property of some repeating decimals -- The theorem of Barbier -- The series of reciprocals of the primes -- Van Schooten's problem -- Solutions to exercises.