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Trigonometric Delights

Eli Maor

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

A fun, entertaining exploration of the ideas and people behind the growth of trigonometry

Trigonometry has a reputation as a dry, difficult branch of mathematics, a glorified form of geometry complicated by tedious computation. In Trigonometric Delights, Eli Maor dispels this view. Rejecting the usual descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. From the proto-trigonometry of the Egyptian pyramid builders and the first true trigonometry developed by Greek astronomers, to the epicycles and hypocycles of the toy Spirograph, Maor presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social growth. A tapestry of stories, curiosities, insights, and illustrations, Trigonometric Delights irrevocably changes how we see this essential mathematical discipline.

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Schlagwörter

Numerical integration, Trigonometry, Mercator projection, Spherical trigonometry, Calculation, Scientist, Result, Trigonometric tables, Infinitesimal, Descartes' rule of signs, Eric Temple Bell, 61 Cygni, Diameter, Theorem, Metric system, Big O notation, Isaac Barrow, Sign (mathematics), Quantity, Just intonation, Natural logarithm, Partial fraction decomposition, Muhammad ibn Musa al-Khwarizmi, Polynomial, Christopher Clavius, Squaring the circle, Unit circle, Gemma Frisius, Logarithm, Cartesian coordinate system, Pure mathematics, Fourier, Real number, Zeno's paradoxes, Gnomon, Al-Battani, Geometry, Rectangle, Stereographic projection, Floor and ceiling functions, Pythagorean triple, Textbook, Significant figures, Men of Mathematics, Richard Courant, Sexagesimal, Sine, Daniel Bernoulli, Infinite product, Florian Cajori, Mathematics, Hyperbola, Line (geometry), Map projection, Power series, Roger Cotes, Trigonometric functions, Circumference, Liber Abaci, Coefficient, Pythagorean theorem, Blaise Pascal, Circle of latitude, Quadratic equation, Nicolaus Copernicus, Theodolite, Asger Aaboe, Bessel function, Hypocycloid, Euler's formula, Astronomy, Mathematician, Georg von Peuerbach, Figure of the Earth, Notation, Equation, Abstract algebra, Elementary function, Fibonacci, Line segment, Series (mathematics), Dirichlet integral, Radian, Bertrand Russell, Nathaniel Bowditch, M. C. Escher, Regiomontanus, Astroid, Accuracy and precision, Right triangle, Abraham de Moivre, Scientific notation, Epicycloid, Geometric progression, Complex number, Periodic function, Spherical Earth, Summation, Fourier series, Number theory