Euclid

Author : Euclid
Publisher : Unknown
Page : 404 pages
File Size : 51,8 Mb
Release : 2017-12-17
Category : Mathematics
ISBN : 1420956477

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Euclid's Elements (the Thirteen Books) by Euclid Pdf

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.

Author : A. C. McKay,R. A. Thompson
Publisher : Wentworth Press
Page : 252 pages
File Size : 47,9 Mb
Release : 2016-08-26
Category : History
ISBN : 1362401757

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Euclid's Elements by A. C. McKay,R. A. Thompson Pdf

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Benjamin Wardhaugh
Publisher : Princeton University Press
Page : 416 pages
File Size : 40,7 Mb
Release : 2023-11-14
Category : Mathematics
ISBN : 9780691235769

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Encounters with Euclid by Benjamin Wardhaugh Pdf

A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

Author : Josette Campbell,Chris Hayhurst
Publisher : The Rosen Publishing Group, Inc
Page : 114 pages
File Size : 50,8 Mb
Release : 2015-07-15
Category : Juvenile Nonfiction
ISBN : 9781499461282

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Euclid by Josette Campbell,Chris Hayhurst Pdf

Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking.

Author : Thomas L. Heath
Publisher : Cambridge University Press
Page : 251 pages
File Size : 53,9 Mb
Release : 2011-02-17
Category : History
ISBN : 9780521183475

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Euclid in Greek: Volume 1 by Thomas L. Heath Pdf

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.

Author : Benno Artmann
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461214120

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Euclid—The Creation of Mathematics by Benno Artmann Pdf

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.

Author : Euclid
Publisher : Unknown
Page : 0 pages
File Size : 47,8 Mb
Release : 1897
Category : Geometry
ISBN : OCLC:704448194

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Euclid Books I. and II. by Euclid Pdf

Author : Euclid,Robert Simson
Publisher : Unknown
Page : 504 pages
File Size : 53,6 Mb
Release : 1834
Category : Geometry
ISBN : UCBK:C106439835

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Elements of Euclid by Euclid,Robert Simson Pdf

Author : David Acheson
Publisher : Oxford University Press
Page : 240 pages
File Size : 41,5 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9780192585370

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The Wonder Book of Geometry by David Acheson Pdf

How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

Author : Shoo Rayner
Publisher : Unknown
Page : 54 pages
File Size : 45,7 Mb
Release : 2017-11-02
Category : Juvenile Nonfiction
ISBN : 1908944366

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Euclid by Shoo Rayner Pdf

Geometry is brought to life as Euclid explains principles of Geometry to his friends. With jokes and lots of illustrations, discover the beauty of geometry and, before you know it, you too will soon be a friend of Euclid! Shoo Rayner adds humour and simplicity to a tricky subject. A perfect introduction.

Author : Charles Lutwidge Dodgson
Publisher : DigiCat
Page : 168 pages
File Size : 42,5 Mb
Release : 2022-05-29
Category : Art
ISBN : EAN:8596547015499

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Euclid and His Modern Rivals by Charles Lutwidge Dodgson Pdf

Euclid and His Modern Rivals is a mathematical book by the British mathematician Charles Lutwidge Dodgson, known under his literary pseudonym "Lewis Carroll." The book evaluates the educational merits of thirteen contemporary geometry textbooks compared to Euclid's Elements. Caroll demonstrates that every of the presented geometry books of his time was inferior to or functionally identical to Wuclid's oeuvre.

Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 50,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9780387226767

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Geometry: Euclid and Beyond by Robin Hartshorne Pdf

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.

Author : J. L. Berggren,R. S. D. Thomas
Publisher : Routledge
Page : 177 pages
File Size : 43,5 Mb
Release : 2019-05-29
Category : Mathematics
ISBN : 9780429656798

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Euclid's Phaenomena by J. L. Berggren,R. S. D. Thomas Pdf

Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.

Author : Joseph Mazur
Publisher : Penguin
Page : 352 pages
File Size : 41,9 Mb
Release : 2006-07-25
Category : Mathematics
ISBN : 9781101664872

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Euclid in the Rainforest by Joseph Mazur Pdf

Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

Author : Raymond Clare Archibald
Publisher : Cambridge University Press
Page : 99 pages
File Size : 47,6 Mb
Release : 2015-03-12
Category : History
ISBN : 9781107492240

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Euclid's Book on Division of Figures by Raymond Clare Archibald Pdf

Originally published in 1915, this book contains an English translation of a reconstructed version of Euclid's study of divisions of geometric figures, which survives only partially and in only one Arabic manuscript. Archibald also gives an introduction to the text, its transmission in an Arabic version and its possible connection with Fibonacci's Practica geometriae. This book will be of value to anyone with an interest in Greek mathematics, the history of science or the reconstruction of ancient texts.