In Polya's footsteps : miscellaneous problems and essays / Ross Honsberger.
By: Honsberger, Ross
.
Material type: 
BookSeries: Dolciani mathematical expositions: Publisher: Washington, DC : Mathematical Association of America, 1997Description: x, 315 p. : ill. ; 23 cm. + pbk.ISBN: 0883853264 ; 0883853000 .Subject(s): MathematicsDDC classification: 510 | Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
| General Lending | MTU Bishopstown Library Lending | 510 (Browse shelf(Opens below)) | 1 | Available | 00010656 |
Enhanced descriptions from Syndetics:
Mathematics is often studied with an air of such seriousness that it doesn't always seem to be much fun. However, it is quite amazing how many surprising results and brilliant arguments one is in a position to enjoy with just a high school background. This is a book of miscellaneous delights, presented not in an attempt to instruct but as a harvest of rewards that are due to good high school students and, of course, those more advanced - their teachers and everyone in the university mathematics community. A half dozen essays are sprinkled among some hundred problems. Many subjects are represented - combinatorics, geometry, number theory, algebra, probability. The sections may be read in any order. The book concludes with twenty-five exercises and their detailed solutions. Something to delight will be found in every section - a surprising result, an intriguing approach, a stroke of ingenuity - and the leisurely pace and generous explanations make the book a pleasure to read.
Four engaging problems -- A problem from the 1991 Asian Pacific Olympiad -- Four problems from the first round of the 1988 Spanish Olympiad -- Problem k797 from Kvant -- An unused problem from the 1990 international Olympiad -- A problem from the 1990 Nordic Olympiad -- Three problems from the 1991 AIME -- An elementary inequality -- Six geometry problems -- Two problems from the 1989 Swedish Olympiad -- Two problems from the 1989 Austrian-Polish mathematics competition -- Two problems from the 1990 Australian Olympiad -- Problem 1367 from Crux mathematicorum -- Three problems from Japan -- Two problems from the 1990 Canadian Olympiad -- A problem from the 1989 U.S.A. Olympiad -- A problem on seating rearrangements -- Three problems from the 1980 and 1981 Chinese new years contests -- A problem in arithmetic -- A checkerboard problem -- Two problems from the 1990 Asian Pacific Olympiad -- Four problems from the 1989 AIME -- Five unused problems from the 1989 International Olympiad -- Four geometry problems -- Five problems from the 1980 all-unoin Russian Olympiad -- The fundamental theorem of 3-bar motion -- Three problems from the 1989 Austrian Olympiad -- Three problems from the tournament of the towns competition -- Problem 1506 from Crux mathematicorum -- Three unused problems from the 1987 international Olympiad -- Two problems from the 1981 Leningrad high school Olympiad -- Four problems from the Pi Mu Epsilon Journal-Fall 1992 -- An elegant solution to morsel 26 -- Two euclidean problems from the Netherlands -- Two problems from the 1989 Singapore mathematical society interschools competition -- Problem m1046 from Kvant (1987) -- Two theorems on convex figures -- The infinite checkerboard -- Two problems from the 1986 Swedish mathematical competition -- A brilliant 1-1 correspondance -- The Steiner-Lehmus problem revisited -- Two problems from the 1987 Bulgarian Olympiad -- A problem from the 1987 Hungarian national Olympiad -- A problem from the 1987 Canadian Olympiad -- Problem 1123 from the Crux Mathematicorum -- A problem from the 1987 AIME -- A generalisation of old morsel 3 -- Two problems from the 1991 Canadian Olympiad -- An Old chesnut -- A combinatorial discontinuity -- A surprising theorem of Kummer -- A combinatorial problem in solid geometry -- Two problems from the 1989 Indial Olympiad -- A gem from combinatorics -- Two problems from the 1989 Asian Pacific Olympiad -- A selection of Joseph Liouville's amazing identities concerning the arithmetic functions -- A problem from the 1988 Austrian-Polish mathematics competition -- An excursion into the complex plane -- Two problems from the 1990 international Olympiad.