Author: EuclidPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 388
Book Description
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
Author: EuclidThe First Six Books of the Elements of Euclid
Author: John CaseyPublisher:
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
The History of Mathematical Proof in Ancient Traditions
Author: Karine ChemlaPublisher: Cambridge University Press
ISBN: 1139510584
Category : Philosophy
Languages : en
Pages : 522
Book Description
This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
A Sequel to the First Six Books of the Elements of Euclid
Author: John CaseyAn Episodic History of Mathematics
Author: Steven G. KrantzPublisher: MAA
ISBN: 0883857669
Category : Mathematics
Languages : en
Pages : 395
Book Description
A series of snapshots of the history of mathematics from ancient times to the twentieth century.
Axiomatic Method and Category Theory
Author: Andrei RodinPublisher: Springer Science & Business Media
ISBN: 3319004042
Category : Philosophy
Languages : en
Pages : 285
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.
Euclid's Elements Redux
Author: John CaseyPublisher: Lulu.com
ISBN: 9781312110786
Category :
Languages : en
Pages : 464
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/
The Learned Lady in England, 1650-1760
Author: Myra ReynoldsPublisher:
ISBN:
Category : Literary Criticism
Languages : en
Pages : 542
Book Description
Introduction and books 1,2
Author: EuclidPublisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 550
Book Description
Collected Works of Velimir Khlebnikov: Letters and theoretical writings
Author: Велимир ХлебниковPublisher: Harvard University Press
ISBN: 9780674140455
Category : Biography & Autobiography
Languages : en
Pages : 494
Book Description
Dubbed by his fellow Futurists the "King of Time," Velimir Khlebnikov (1885-1922) spent his entire brief life searching for a new poetic language to express his convictions about the rhythm of history, the correspondence between human behavior and the "language of the stars." The result was a vast body of poetry and prose that has been called hermetic, incomprehensible, even deranged. Of all this tragic generation of Russian poets (including Blok, Esenin, and Mayakovsky), Khlebnikov has been perhaps the most praised and the more censured. This first volume of the Collected Works, an edition sponsored by the Dia Art Foundation, will do much to establish the counterimage of Khlebnikov as an honest, serious writer. The 117 letters published here for the first time in English reveal an ebullient, humane, impractical, but deliberate working artist. We read of the continuing involvement with his family throughout his vagabond life (pleas to his smartest sister, Vera, to break out of the mold, pleas to his scholarly father not to condemn and to send a warm overcoat); the naive pleasure he took in being applauded by other artists; his insistence that a young girl's simple verses be included in one of the typically outrageous Futurist publications of the time; his jealous fury at the appearance in Moscow of the Italian Futurist Marinetti; a first draft of his famous zoo poem ("O Garden of Animals!"); his seriocomic but ultimately shattering efforts to be released from army service; his inexhaustibly courageous confrontation with his own disease and excruciating poverty; and always his deadly earnest attempt to make sense of numbers, language, suffering, politics, and the exigencies of publication. The theoretical writings presented here are even more important than the letters to an understanding of Khlebnikov's creative output. In the scientific articles written before 1910, we discern foreshadowings of major patterns of later poetic work. In the pan-Slavic proclamations of 1908-1914, we find explicit connections between cultural roots and linguistic ramifications. In the semantic excursuses beginning in 1915, we can see Khlebnikov's experiments with consonants, nouns, and definitions spelled out in accessible, if arid, form. The essays of 1916-1922 take us into the future of Planet Earth, visions of universal order and accomplishment that no longer seem so farfetched but indeed resonate for modern readers.