The Elements of Euclid Viz The Errors by Which Theon Or Others Have Long Ago Vitiated These Books Are Corrected And Some of Euclid s Demonst

Author: Robert Simson
Publisher: Sagwan Press
ISBN: 1376401789
Release Date: 2018-02
Genre: Mathematics

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Euclid s Elements

Author: Euclid
Publisher: Green Lion Pr
ISBN: CORNELL:31924096124197
Release Date: 2002-08-20
Genre: Mathematics

The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.

Euclid s Elements

Author: Richard Fitzpatrick
Publisher: Lulu.com
ISBN: 9780615179841
Release Date: 2007-12-01
Genre: Mathematics

Euclid's Elements of Geometry, with Greek and English texts in side-by-side columns.

Euclid in Greek Volume 1

Author: Thomas L. Heath
Publisher: Cambridge University Press
ISBN: 9780521183475
Release Date: 2011-02-17
Genre: History

Originally published in 1920, this volume contains book one of Euclid's Elements in Greek, together with an introduction and notes section written in English. It was created to provide young students with a contextual understanding of geometry and the development of geometrical principles, one which was increasingly neglected in the standard school textbooks of the time. By returning to the Elements in their original form it was hoped that students would gain a fundamental understanding of the ideas put forward in the text, one which would increase their knowledge and enthusiasm. It was also hoped that the dual process of learning Greek and geometry would be an effective way of impressing content on the mind of the learner. This volume will be of value to anyone with an interest in geometry and the development of pedagogy.

The thirteen books of Euclid s Elements

Author: Euclid
Publisher: Dover Pubns
ISBN: UCAL:B4062981
Release Date: 1956
Genre: Mathematics

Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

Elements of Mathematics

Author: John Stillwell
Publisher: Princeton University Press
ISBN: 9781400880560
Release Date: 2016-05-31
Genre: Mathematics

Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Philosophy of Mathematics and Deductive Structure in Euclid s Elements

Author: Ian Mueller
Publisher: Courier Corporation
ISBN: 9780486150871
Release Date: 2013-01-03
Genre: Mathematics

This text provides an understanding of the classical Greek conception of mathematics as expressed in Euclid's Elements. It focuses on philosophical, foundational, and logical questions and features helpful appendixes.

The King of Infinite Space

Author: David Berlinski
Publisher: Basic Books
ISBN: 9780465038633
Release Date: 2014-04-08
Genre: Mathematics

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic—and the mathematical statements he and others built from it—have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.

The Thirteen Books of the Elements

Author: Euclid
Publisher:
ISBN: 0486600882
Release Date: 1956
Genre: Mathematics

Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.