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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
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| Colección: | Anneli Lax new mathematical library.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 Euclid�s Construction of the Regular Pentagon
- 2.1 Sources
- 2.2 Greek Mathematics before Euclid
- 2.3 Euclid�s Elements2.4 Euclid�s Construction of the Regular Pentagon
- Chapter 3. Three Samples of Archimedean Mathematics
- 3.1 Archimedes� Life
- 3.2 Archimedes� Works
- 3.3 Constructions of Regular Polygons
- 3.4 Archimedes� Trisection of an Angle
- 3.5 Archimedes� Construction of the Regular Heptagon
- 3.6 Volume and Surface of a Sphere According to The Method
- Chapter 4. Ptolemy�s Construction of a Trigonometric Table
- 4.1 Ptolemy and The Almaugest
- 4.2 Ptolemy�s Table of Chords and Its Uses
- 4.3 Ptolemy�s Construction of the Table of ChordsAppendix: Ptolemy�s Epicyclic Models
- Solutions to Problems
- Bibliography
- Back Cover