A Smoother Pebble: Mathematical ExplorationsOxford University Press, 2003 - 266 sivua This book takes a novel look at the topics of school mathematics--arithmetic, geometry, algebra, and calculus. In this stroll on the mathematical seashore we hope to find, quoting Newton, "...a smoother pebble or a prettier shell than ordinary..." This book assembles a collection of mathematical pebbles that are important as well as beautiful. |
Sisältö
Introduction | 1 |
Bridging the Gap | 3 |
The Shape of Things | 59 |
The Great Art | 109 |
A Smoother Pebble | 165 |
Glossary | 243 |
Notes | 249 |
| 257 | |
| 261 | |
Muita painoksia - Näytä kaikki
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algebra algorithm ancient Greek angle antiderivatives approximation arbitrary arithmetic assertion Babylonian BAFS brachistochrone problem calculus called Cardano century chapter computation concept cone continued fraction coordinate critical bandwidth cubic equations curve cycloid defined definite integral derivative Descartes descent difference quotient dissonance distance down-up ramp Egyptian equal equal-tempered Euclid's Euclidean geometry example fact fifths Flatland formula frequency function Galileo Gaussian curvature glide reflection graph hyperbolic inclined plane inequality instantaneous velocity intersecting interval inverse line segment magnitudes mathematical mathematicians mean velocity method multiplication musical natural numbers obtain octaves odometer osculating circle parallels axiom partials proof Proposition Pythagorean Pythagorean comma Pythagorean tuning quadratic ratio real numbers rectangle respectively rotation sexagesimal shown in Figure shows side simple tones slope smooth downward ramp solution solving speedometer square root square wave straight line surface symbolic symmetry Table tangent Tartaglia theorem tion triangle Tubeland tuning unit fractions variable vertical