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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

Power series, Roger Cotes, Nicolaus Copernicus, Pythagorean theorem, Pure mathematics, Abraham de Moivre, Line segment, Periodic function, Trigonometric functions, Unit circle, Floor and ceiling functions, Quadratic equation, Calculation, Descartes' rule of signs, Hyperbola, Epicycloid, Abstract algebra, Natural logarithm, M. C. Escher, Euler's formula, Map projection, Sine, Cartesian coordinate system, Equation, Mercator projection, Mathematician, Result, Geometric progression, Scientific notation, Zeno's paradoxes, Complex number, Hypocycloid, Astroid, Polynomial, Summation, Fourier, Diameter, Circle of latitude, Liber Abaci, Nathaniel Bowditch, Astronomy, Logarithm, Asger Aaboe, Spherical trigonometry, Series (mathematics), Christopher Clavius, Radian, Fourier series, Textbook, Theorem, 61 Cygni, Right triangle, Geometry, Isaac Barrow, Real number, Bessel function, Circumference, Stereographic projection, Quantity, Rectangle, Just intonation, Regiomontanus, Al-Battani, Mathematics, Florian Cajori, Muhammad ibn Musa al-Khwarizmi, Metric system, Notation, Number theory, Trigonometry