The School Euclid. Euclid's Elements. The First Six and ... Parts of the Eleventh and Twelfth Books ... With a New Arrangement of the Figures and Demonstrations; the Enunciations of the Propositions Separately; Questions on the Definitions; Arithmetical and Algebraical Demonstrations of Books II. and V.; and a Selection of Geometrical Problems for Solution PDF Download
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Author: Euclid
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 388
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Author: Euclid
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 388
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Book Description
Author: John Casey
Publisher:
ISBN: 9781088465103
Category :
Languages : en
Pages : 212
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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
Author: John Casey
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 279
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Book Description
Author: Steven G. Krantz
Publisher: MAA
ISBN: 0883857669
Category : Mathematics
Languages : en
Pages : 395
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Book Description
A series of snapshots of the history of mathematics from ancient times to the twentieth century.
Author: Andrei Rodin
Publisher: Springer Science & Business Media
ISBN: 3319004042
Category : Philosophy
Languages : en
Pages : 285
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Book Description
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.
Author: John Casey
Publisher: Lulu.com
ISBN: 9781312110786
Category :
Languages : en
Pages : 464
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Book Description
""Euclid's 'Elements' Redux"" is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time, ""The Elements,"" compiled by Euclid around 300 BC. It contains several hundred exercises as well as a partial answer key. Although it is a copyrighted work, it is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. Download it for free at: http: //starrhorse.com/euclid/
Author: Myra Reynolds
Publisher:
ISBN:
Category : Literary Criticism
Languages : en
Pages : 542
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Book Description
Author: Tom Sorell
Publisher: Cambridge University Press
ISBN: 9780521422444
Category : Philosophy
Languages : en
Pages : 420
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Book Description
The most convenient, accessible guide to Hobbes available.
Author: Euclid
Publisher: Createspace Independent Publishing Platform
ISBN: 9781546376675
Category :
Languages : en
Pages : 448
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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.
Author: H. S. HALL
Publisher:
ISBN: 9781033265376
Category :
Languages : en
Pages : 0
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Book Description
