Trigonometric Delights (eBook)

Eli Maor (Autor)

eBook Download: PDF

2020 | 3. Auflage
256 Seiten
Princeton University Press (Verlag)
978-0-691-20220-4 (ISBN)

Infos

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

Produkt-Details

• Erscheint lt. Verlag: 7.4.2020
• Reihe/Serie: Princeton Science Library
• Reihe/Serie: Princeton Science Library
• Zusatzinfo: 107 b/w illus.
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber ► Natur / Technik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Schlagworte: 61 Cygni • abraham de moivre • abstract algebra • Accuracy and precision • Al-Battani • Asger Aaboe • Astroid • Astronomy • Bertrand Russell • Bessel function • Big O notation • Blaise Pascal • Calculation • Cartesian coordinate system • Christopher Clavius • Circle of latitude • circumference • coefficient • complex number • Daniel Bernoulli • Descartes' rule of signs • DIAMETER • Dirichlet Integral • Elementary function • Epicycloid • Equation • Eric Temple Bell • Euler's formula • Fibonacci • Figure of the Earth • Floor and ceiling functions • Florian Cajori • Fourier • Fourier series • Gemma Frisius • geometric progression • Geometry • Georg von Peuerbach • Gnomon • Hyperbola • Hypocycloid • Infinite product • Infinitesimal • Isaac Barrow • Just Intonation • Liber Abaci • Line (geometry) • Line segment • logarithm • Map Projection • mathematician • Mathematics • M. C. Escher • Men of Mathematics • Mercator projection • Metric system • Muhammad ibn Musa al-Khwarizmi • Nathaniel Bowditch • natural logarithm • Nicolaus Copernicus • Notation • Number Theory • Numerical Integration • Partial fraction decomposition • Periodic function • polynomial • power series • Pure Mathematics • Pythagorean Theorem • Pythagorean triple • Quadratic equation • Quantity • Radian • real number • rectangle • regiomontanus • result • Richard Courant • Right triangle • Roger Cotes • scientific notation • Scientist • Series (mathematics) • Sexagesimal • Significant figures • Sign (mathematics) • sine • Spherical Earth • Spherical trigonometry • Squaring the circle • stereographic projection • Summation • Textbook • Theodolite • Theorem • Trigonometric Functions • Trigonometric tables • Trigonometry • Unit circle • Zeno's paradoxes
• ISBN-10: 0-691-20220-6 / 0691202206
• ISBN-13: 978-0-691-20220-4 / 9780691202204