More Mathematical MorselsCambridge University Press, 1991 - 322 pàgines Another collection of problems from best-selling author Ross Honsberger. He presents a selection drawn from probability, number theory, combinatorics, and geometry, and provides ingenious solutions and/or intriguing results. All of the problems presented in the volume are accessible to anyone with an interest in mathematics. |
Continguts
A Surprising Property of the Integer 11 | 1 |
An Unexpected Equality | 4 |
An Arithmetic Game | 6 |
Sangaku | 8 |
Pagan Island | 13 |
Persistent Numbers | 15 |
Gleanings from Murray Klamkins Olympiad Corners1979 | 19 |
An Application of van der Waerdens Theorem | 28 |
Gleanings from Murray Klamkins Olympiad Corners1983 | 147 |
An OftNeglected Form | 171 |
A Theorem of Léon Anne | 174 |
Special Pairs of Positive Integers | 176 |
An Intriguing Sequence | 178 |
That Number Again | 180 |
A Rational Function | 183 |
An Unexpected Bijection | 185 |
Patrunos Proof of a Theorem of Archimedes | 31 |
An Intractable Sum | 33 |
A Cyclic Quadrilateral | 36 |
Gleanings from Murray Klamkins Olympiad Corners1980 | 38 |
An Unlikely Perfect Square | 52 |
An Unlikely Symmetry | 54 |
Two Famous Diophantine Equations | 57 |
Brianchon and Ceva | 61 |
Playing on a Polynomial | 64 |
Overlapping Quadrants | 67 |
The Circle and the Annulus | 70 |
Gleanings from Murray Klamkins Olympiad Corners1981 | 73 |
On a Balanced Incomplete Block Design | 103 |
The Red and White Balls | 106 |
A Prime Number Generator | 108 |
Neubergs Theorem | 110 |
A Geometric Calculation | 112 |
On Cubic Curves | 114 |
An Olympiad Practice Problem | 119 |
Gleanings from Murray Klamkins Olympiad Corners1982 | 122 |
A Quadruple of Consecutive Integers | 131 |
A BoxPacking Problem | 133 |
An Awkward Integral | 136 |
A Matter of Perspective | 138 |
Sequences of Nested Radicals | 140 |
Equations of Factorials | 145 |
An Unruly Sum | 187 |
Gleanings from Murray Klamkins Olympiad Corners1984 | 190 |
An Interesting Inequality | 205 |
A Series of Reciprocals | 207 |
On the Least Common Multiple | 209 |
A Family of Equations | 212 |
Gleanings from Murray Klamkins Olympiad Corners1985 | 215 |
Diophantine Reciprocals | 232 |
Another Series of Reciprocals | 234 |
An Illegible MultipleChoice Problem | 235 |
On the Partition Function pn | 237 |
Gleanings from Murray Klamkins Olympiad Corners1986 | 240 |
Proof by Interpretation | 246 |
On σn and 7n | 250 |
A Surprising Result About Tiling a Rectangle | 252 |
An Amazing Locus | 261 |
Moessners Theorem | 268 |
Counting Triangles | 278 |
A Geometric Mimimum | 283 |
The Probabilistic Method | 286 |
An Application of Generating Functions | 292 |
On RatFree Sets | 299 |
A Further Note on Old Morsel 23 | 312 |
| 319 | |
Altres edicions - Mostra-ho tot
Frases i termes més freqüents
Accordingly angle begin blocks chord circle Clearly color column complete consecutive Consequently consider construct contains corner count course cover cross desired determine diagonal diameter digits direction disk distance divide divisor edge equal equation exactly example exists fact factor FIGURE Finally follows function given giving greatest Hence implying labels least length less Mathematical matter MORSEL move multiple namely obtain Obviously occur Olympiad pair parallel partition perpendicular places plane play points positive integers possible prime probability problem proof Prove question radius rational region relation remains result round sequence shown side Similarly Solution square subset Suppose tangent theorem things tile triangle turn unit vertex vertices village yields
Referències a aquest llibre
"Das ist o. B. d. A. trivial!": Tipps und Tricks zur Formulierung ... Albrecht Beutelspacher Previsualització no disponible - 2006 |