Euclid's Elements

Euclid's Elements PDF

Author: Euclid

Publisher:

Published: 2002

Total Pages: 544

ISBN-13:

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"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Euclid's Elements of Geometry

Euclid's Elements of Geometry PDF

Author: Euclid

Publisher:

Published: 2008

Total Pages: 546

ISBN-13:

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EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond PDF

Author: Robin Hartshorne

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 535

ISBN-13: 0387226761

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This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

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