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Mathematical gems

Author: Ross Honsberger
Publisher: [Washington] : Mathematical Association of America, <©1976>
Series: Dolciani mathematical expositions, <no. 2>.
Edition/Format:   Print book : English
Summary:

Part of the "Dolciani Mathematical Expositions" series, books which present problems from algebra, arithmetic, number theory, probability and geometry and provide the reader with an ingenious  Read more...

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Additional Physical Format: Online version:
Honsberger, Ross, 1929-
Mathematical gems.
[Washington] : Mathematical Association of America, <c1976>
(OCoLC)622876070
Document Type: Book
All Authors / Contributors: Ross Honsberger
ISBN: 0883853000 9780883853009 0883853027 9780883853023 0883853132 9780883853139 0883853019 9780883853016
OCLC Number: 3017331
Description: volumes <2> : illustrations ; 23 cm.
Contents: v. 1. An old Chinese theorem and Pierre De Fermat --
Louis Pósa --
Equilateral triangles --
The orchard problem --
[Triangle]-curves --
It's combinatorics that counts! --
The Kozyrev-Grinberg theory of Hamiltonian circuits --
Morley's theorem --
A problem in combinatorics --
Multiply-perfect, superabundant, and practical numbers --
Circles, squares, and lattice points --
Recursion --
Poulet, super-Poulet, and related numbers. v. 2. Three surprises from combinatorics and number theory --
Four minor gems from geometry --
A problem in checker-jumping --
The generation of prime numbers --
Two combinatorial proofs --
Bicentric polygons, Steiner chains, and the hexlet --
A theorem of Gabriel Lamé --
Box-packing problems --
A theorem of bang and the isosceles tetrahedron --
An intriguing series --
Chvátal's art gallery theorem --
The set of distances determined by n points in the plane --
A Putnam paper problem --
Lovász' proof of a theorem of Tutte. v. 3. Gleanings from combinatorics --
Gleanings from geometry --
Two problems in combinatorial geometry --
Sheep fleecing with Walter Funkenbusch --
Two problems in graph theory --
Two applications of generating functions --
Some problems from the Olympiads --
A second look at the Fibonacci and Lucas numbers --
Some problems in combinatorics --
Four clever schemes in cryptography --
Gleanings form number theory --
Schur's theorem: an application of Ramsay's theorem --
Two applications of Helly's theorem --
An introduction to Ramanujan's highly composite numbers --
On sets of points in the plane --
Two surprises form algebra --
A problem of Paul Erdös --
Cai Mao-Cheng's solution to Katona's problem on families of separating subsets.
Series Title: Dolciani mathematical expositions, <no. 2>.
Responsibility: by Ross Honsberger.

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