Mathematical diamonds

Ross Honsberger

256 pages, parution le 21/10/2003

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Résumé

Ross Honsberger has done it again! He has brought together another wonderful collection of elementary mathematical problems and their solutions that reflect the beauty of mathematics. The problems abound in striking surprises and brilliant ideas. Many come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam Mathematical Competition. And two chapters are based on work by Paul Erdos.

The remarkable wine-rack property
The Restless Lion
Apples and sticks
A surprising result of Paul Erdös
Miscellaneous gleanings
An application of TurŽan's theorem
Four problems from Putnam papers
Topics based on problems from Quantum
Two distinguished integers
A property of the binomial coefficients
Nine miscellaneous problems
A problem in coin-tossing
Semi-regular lattice polygons
Six problems from the Canadian Open Mathematics Challenge
Three pretty theorems in geometry
Two gems from Euclidean geometry
The Thue-Morse-Hedlund sequence
Two miscellaneous problems
A surprising property of regular polygons
Three short stories in number theory
Three geometry problems
Three problems from the 1990 Balkan Olympiad
A Japanese 'fan' problem
Slicing a doughnut
A problem from the 1980 Tournament of the Towns
More challenges
Solutions to the challenges
Indices

L'auteur - Ross Honsberger

Ross Honsberger was born in Toronto, Canada, and attended the University of Toronto. After more than a decade of teaching mathematics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined its faculty in 1964 in the Department of Combinatorics and Optimization and has been there ever since. He has published a number of best-selling books with the Mathematical Association of America, including "Mathematical Chestnuts from Around the World, and "Ingenuity in Mathematics."

Caractéristiques techniques

	PAPIER
Éditeur(s)	The Mathematical Association of America (MAA)
Auteur(s)	Ross Honsberger
Parution	21/10/2003
Nb. de pages	256
Format	15 x 23
Couverture	Broché
Poids	345g
Intérieur	Noir et Blanc
EAN13	9780883853320
ISBN13	978-0-88385-332-0