Euclid's Elements (the Thirteen Books)

Euclid's Elements (the Thirteen Books) PDF

Author: Euclid

Publisher:

Published: 2017-12-17

Total Pages: 404

ISBN-13: 9781420956474

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Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.

The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements PDF

Author: Thomas L. Heath

Publisher: Cambridge University Press

Published: 2015-02-12

Total Pages: 555

ISBN-13: 1107480507

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First published in 1926, this book contains the final volume of a three-volume English translation of the thirteen books of Euclid's Elements.

Euclid's Elements in Greek

Euclid's Elements in Greek PDF

Author: Richard Fitzpatrick

Publisher: Lulu.com

Published: 2006-03-01

Total Pages: 411

ISBN-13: 1411680871

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Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together with an English translation. For ease of use, the Greek text and the corresponding English text are on facing pages. Moreover, the figures are drawn with both Greek and English symbols. Finally, a helpful Greek/English lexicon explaining Ancient Greek mathematical jargon is appended. Volume II contains Books 5-9, and covers the fundamentals of proportion, similar figures, and number theory.

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.

Euclid—The Creation of Mathematics

Euclid—The Creation of Mathematics PDF

Author: Benno Artmann

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 352

ISBN-13: 1461214122

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Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

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.