Episodes from the Early History of Mathematics / Asger Aaboe.

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...

Full description

Saved in:
Bibliographic Details
Main Author: Aaboe, Asger
Format: Electronic eBook
Language:English
Published: Cambridge : Cambridge University Press, 2012.
Series:Anneli Lax new mathematical library.
Subjects:
Mathematics > History.
Online Access: Full text (Wentworth users only)
Local Note:ProQuest Ebook Central
Table of Contents:
  • 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
  • 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
  • 4.3 Ptolemyâ€?s Construction of the Table of ChordsAppendix: Ptolemyâ€?s Epicyclic Models
  • Solutions to Problems
  • Bibliography
  • Back Cover

Similar Items