Euclid—The Creation of Mathematics
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Beschreibung
This is a book for all lovers of mathematics with a solid background
in high school geometry, from teachers and students to university
professors. For each of Euclid's thirteen Books, the author has given
a general description of the contents and structure of the Book, plus
one or two sample proofs.
Euclid's treatment of mathematics and the presentation of its essential features has set the standard which remains today, and which every mathematician should know Artmann reveals many pieces of beautiful mathematics from the Elements, which are easily accessible and can be studied in detail by anyone with a minimal training in math Each book of the Elements is clearly described in detail, and proofs are given for important results Modernized language is used to make the material more accessible to the reader Includes general remarks about typical mathematical procedures of the day, subjects of historical interest, and connections to philosophy
Autor*in
Benno Artmann
Themen in »Euclid—The Creation of Mathematics«
Euclid Euclid's elements Math Volume boundary element method development history of mathematics mathematics metaphysics object philosophy story tool university
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B. Artmann
Euclid - The Creation of Mathematics
"The author invites the ‘lover of mathematics’ to have a peek, via a gentle introduction and presentation of Euclid’s Elements, with detours to previous Greek geometers, whose work has been incorporated in the Elements. The contents of the Elements are presented book by book . . . with full statements of the definitions, axioms, propositions, and proofs involved. There are . . . notes to subsequent development of Euclidean themes . . . justifications of steps of proof and of the sequence in which results appear . . . An original and pleasing feature of the book consists in the references to Greek architecture, which emphasize the pervasiveness of the concern for proportion in Greek culture, as well as the references to archaeological finds of dodecahedra- and icosahedra-shaped objects."—AMERICAN MATHEMATICAL SOCIETY
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