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Curves for the Mathematically Curious

An Anthology of the Unpredictable, Historical, Beautiful, and Romantic

Julian Havil

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

Ten amazing curves personally selected by one of today's most important math writers

Curves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an account of the history and definition of one curve, providing a glimpse into the elegant and often surprising mathematics involved in its creation and evolution. In telling the ten stories, Havil introduces many mathematicians and other innovators, some whose fame has withstood the passing of years and others who have slipped into comparative obscurity. You will meet Pierre Bézier, who is known for his ubiquitous and eponymous curves, and Adolphe Quetelet, who trumpeted the ubiquity of the normal curve but whose name now hides behind the modern body mass index. These and other ingenious thinkers engaged with the challenges, incongruities, and insights to be found in these remarkable curves—and now you can share in this adventure.

Curves for the Mathematically Curious is a rigorous and enriching mathematical experience for anyone interested in curves, and the book is designed so that readers who choose can follow the details with pencil and paper. Every curve has a story worth telling.

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Schlagwörter

Conic section, Diagram (category theory), Parity (mathematics), Geometry, Equation, Arc (geometry), Curve, Logarithm, Numerical integration, Parametric equation, Probability, Sign (mathematics), Modular arithmetic, Inverse Galois problem, Calculation, Geometric progression, Normal distribution, Variable (mathematics), Disquisitiones Arithmeticae, Series (mathematics), Reuleaux triangle, Curvature, Arithmetic, Proportionality (mathematics), Conjecture, Angle trisection, Elliptic curve, Polynomial, Arithmetic mean, Conchoid (mathematics), Fixed point (mathematics), Hyperbola, Mathematical optimization, Unit interval, Curve of constant width, Inequality (mathematics), Spline (mathematics), Differentiable function, Diameter, Tunnell's theorem, Curve fitting, Catenary, Function (mathematics), Mathematical analysis, Parabola, Squaring the circle, Hilbert curve, Semicircle, Space-filling curve, Error, Addition, Measurement, Congruent number, Quadratrix, Number theory, Result, Line segment, Hyperbolic function, Summation, Concatenation (mathematics), Mathematics, Pure mathematics, Theorem, Mathematical structure, Gaussian function, Quadratic equation, Geometric mean, Riemann hypothesis, Mathematician, Complex number