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Euclid's Book on Divisions of Figures

Euclid's Book on Divisions of Figures PDF Author: Raymond Clare Archibald
Publisher:
ISBN:
Category : Geometry, Plane
Languages : en
Pages : 104

Book Description


Euclid's Book on Divisions of Figures

Euclid's Book on Divisions of Figures PDF Author: Raymond Clare Archibald
Publisher:
ISBN:
Category : Geometry, Plane
Languages : en
Pages : 104

Book Description


Euclid's Book on Divisions of Figures

Euclid's Book on Divisions of Figures PDF Author: Archibald Raymond Clare
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724279385
Category :
Languages : en
Pages : 110

Book Description
Euclid's Book on Divisions of Figures: Large Print By Archibald Raymond Clare, Euclid (Authored by), Fibonacci Leonardo (Authored by), Woepcke Franz (Authored by) 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. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

Euclid's Elements

Euclid's Elements PDF Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

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

Euclid's Book on Divisions of Figures

Euclid's Book on Divisions of Figures PDF Author: Raymond Clare Archibald
Publisher:
ISBN:
Category : Geometry, Plane
Languages : en
Pages : 112

Book Description


Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Philosophy of Mathematics and Deductive Structure in Euclid's Elements PDF Author: Ian Mueller
Publisher: Courier Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 404

Book Description
A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.

Encounters with Euclid

Encounters with Euclid PDF Author: Benjamin Wardhaugh
Publisher: Princeton University Press
ISBN: 0691235767
Category : Mathematics
Languages : en
Pages : 416

Book Description
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.

The First Six Books of the Elements of Euclid

The First Six Books of the Elements of Euclid PDF Author: John Casey
Publisher:
ISBN: 9781088465103
Category :
Languages : en
Pages : 212

Book Description
This edition of the Elements of Euclid, undertaken at the request of the principalsof some of the leading Colleges and Schools of Ireland, is intended tosupply a want much felt by teachers at the present day-the production of awork which, while giving the unrivalled original in all its integrity, would alsocontain the modern conceptions and developments of the portion of Geometryover which the Elements extend. A cursory examination of the work will showthat the Editor has gone much further in this latter direction than any of hispredecessors, for it will be found to contain, not only more actual matter thanis given in any of theirs with which he is acquainted, but also much of a specialcharacter, which is not given, so far as he is aware, in any former work on thesubject. The great extension of geometrical methods in recent times has madesuch a work a necessity for the student, to enable him not only to read with advantage, but even to understand those mathematical writings of modern timeswhich require an accurate knowledge of Elementary Geometry, and to which itis in reality the best introduction

Euclid—The Creation of Mathematics

Euclid—The Creation of Mathematics PDF Author: Benno Artmann
Publisher: Springer Science & Business Media
ISBN: 1461214122
Category : Mathematics
Languages : en
Pages : 352

Book Description
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.

The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements PDF Author: Euclid
Publisher: Createspace Independent Publishing Platform
ISBN: 9781546376675
Category :
Languages : en
Pages : 448

Book Description
Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.

A Book of Abstract Algebra

A Book of Abstract Algebra PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402

Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.