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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Book Description
Author: Euclid
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 388
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Book Description
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
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Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author: Euclid
Publisher: Ancient Wisdom Publications
ISBN: 9781963956184
Category : Education
Languages : en
Pages : 0
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Book Description
Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier philosopher Euclid of Megara. It is now generally accepted that he spent his career in Alexandria and lived around 300 BC, after Plato's students and before Archimedes. There is some speculation that Euclid studied at the Platonic Academy and later taught at the Musaeum; he is regarded as bridging the earlier Platonic tradition in Athens with the later tradition of Alexandria. In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections, spherical geometry, number theory, and mathematical rigour. In addition to the Elements, Euclid wrote a central early text in the optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship of two other texts-On Divisions of Figures, Catoptrics-has been questioned. He is thought to have written many now lost works.
Author: Karine Chemla
Publisher: Cambridge University Press
ISBN: 1139510584
Category : Philosophy
Languages : en
Pages : 522
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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.
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 : 288
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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: Myra Reynolds
Publisher:
ISBN:
Category : Literary Criticism
Languages : en
Pages : 542
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Book Description
Author: Велимир Хлебников
Publisher: Harvard University Press
ISBN: 9780674140455
Category : Biography & Autobiography
Languages : en
Pages : 494
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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.
Author: A. C. McKay
Publisher: Wentworth Press
ISBN: 9781362401759
Category : History
Languages : en
Pages : 252
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Book Description
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