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Episodes from the Early History of Mathematics /

Among other things, Aaboe shows us how the Babylonians did calculations, how Euclid proved that there are infinitely many primes, how Ptolemy constructed a trigonometric table in his Almagest, and how Archimedes trisected the angle. Some of the topics may be familiar to the reader, while others will...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Aaboe, Asger
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:Anneli Lax new mathematical library.
Temas:
Acceso en línea:Texto completo

MARC

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505 0 |a Front Cover -- Episodes From the Early History of Mathematics -- Copyright Page -- Contents -- Introduction -- Chapter 1. Babylonian Mathematics -- 1.1 Sources -- 1.2 The Babylonian Number System. A Multiplication Table -- 1.3 The Babylonian Number System. A Table of Reciprocals -- 1.4 Positional Number Systems -- 1.5 Babylonian Arithmetic -- 1.6 Three Babylonian Mathematical Texts -- 1.7 Summary -- Chapter 2. Early Greek Mathematics and Euclidâ€?s Construction of the Regular Pentagon -- 2.1 Sources -- 2.2 Greek Mathematics before Euclid 
505 8 |a 2.3 Euclidâ€?s Elements2.4 Euclidâ€?s Construction of the Regular Pentagon -- Chapter 3. Three Samples of Archimedean Mathematics -- 3.1 Archimedesâ€? Life -- 3.2 Archimedesâ€? Works -- 3.3 Constructions of Regular Polygons -- 3.4 Archimedesâ€? Trisection of an Angle -- 3.5 Archimedesâ€? Construction of the Regular Heptagon -- 3.6 Volume and Surface of a Sphere According to The Method -- Chapter 4. Ptolemyâ€?s Construction of a Trigonometric Table -- 4.1 Ptolemy and The Almaugest -- 4.2 Ptolemyâ€?s Table of Chords and Its Uses 
505 8 |a 4.3 Ptolemyâ€?s Construction of the Table of ChordsAppendix: Ptolemyâ€?s Epicyclic Models -- Solutions to Problems -- Bibliography -- Back Cover 
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