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| by: Francois Lasserre |
The Birth of Mathematics in the Age of Plato
By Francois Lasserre
* Publisher: American Research Council
* Number Of Pages: 191
* Publication Date: 1964
* ISBN-10 / ASIN: B000NSI18C
* ISBN-13 / EAN:
Table of Contents:
Foreword
I What is Mathematics?
Historical data - Some texts - Mathematics and
physics - Curricula and syllabuses
II Arithmetic
Principles of the theory of numbers. Speusippus -
Linear numbers. Proportion - Plane numbers and
solid numbers - Ontological arithmetic and axio-
matic arithmetic
III Geometry I: Theaetetus
Irrationals - The five regular polyhedra -
Mathematics and physics: from the five solids to
the five elements
IV Geometry II: Eudoxus
Geometry - Theory of proportion - The golden
section - Proportional volumes - The Delos
problem
V Astronomy: Eudoxus II
The stellar sphere - The astral calendar - The
theory of the spheres - Conclusion
VI Harmony
Archytas - The means - From Archytas to Aris-
toxenus
Index
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