The enjoyment of mathematics; selections from mathematics for the amateur, by Hans Rademacher and Otto Toeplitz. Translated by Herbert Zuckerman.

; Toeplitz, Otto, 1881-1940, author
Princeton, Princeton University Press, 1957.
ISBN 0691023514, 0691079587, 9780691023519, 9780691079585

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Standard Title Von Zahlen und Figuren. English
Other Authors Toeplitz, Otto, 1881-1940,
Subjects Jeux mathématiques.
Matematica.
Mathematical recreations.
Description 204 pages illustrations 25 cm
Copyright Date 1957.
Notes "A translation from Von Zahlen und Figuren ... Chapters 15 and 28 by Herbert Zuckerman have been added to the English language edition."
A translation from Von Zahlen und Figuren ... Chapters 15 and 28 by Herbert Zuckerman have been added to the English language edition.
Contents Approximating irrational numbers by means of rational numbers -- Producing rectilinear motion by means of linkages -- Perfect numbers -- Euler's proof of the infinitude of the prime numbers -- Fundamental principles of maximum problems -- The figure of greatest area with a given perimeter -- Periodic decimal fractions -- A characteristic property of the cirlce -- Curves of constant breadth -- The indispensability of the compass for the constructions of elementary geometry -- A property of the number 30 -- An improved inequality.
The sequence of prime numbers -- Traversing nets of curves -- Some maximum problems -- Incommensurable segments and irrational numbers -- A minimum property of the Pedal Triangle -- A second proof of the same minimum property -- The theory of sets -- Some combinatorial problems -- On Waring's problem -- On closed self-intersecting curves -- Is the factorization of a number into prim factors unique? -- The four-color problem -- The regular polyhedrons -- Pythagorean numbers and Fermat's theorem -- The theorem of the arithmetic and geometric means -- The spanning circle of a finite set of points.
Network Numbers (OCoLC)494737
(OCoLC)ocm00494737
WorldCat Search OCLC WorldCat
WorldCat Identities Rademacher, Hans, 1892-1969.
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