Gebundene Ausgabe, Gr.-8°. Zustand: Gut. 1st ed. 2016. 203 S. Das Buch ist in gutem, sauberen Zustand. Ecken und Kanten leicht bestossen. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt:. This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz's work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz's essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz's manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry. 1.Introduction.- 2.The Theory of Parallel Lines in the Age of Leibniz.- 3.Leibniz' Epistemology of Geometry and the Parallel Postulate.- 4.Leibniz' Attempts to prove the Parallel Postulate.- 5.Reception and Legacy.- Leibniz' Texts on Parallel Lines.- Bibliography. ISBN: 9783319198620 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 522.
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Zustand: New. Translator(s): Allegri, Linda; Halsted, G. B. Series: Classic Texts in the Sciences. Num Pages: 388 pages, 83 black & white illustrations, 6 colour illustrations, biography. BIC Classification: PBM; PBX; PDX. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 21. Weight in Grams: 677. . 2016. Softcover reprint of the original 1st ed. 2014. Paperback. . . . .
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Zustand: New. Editor(s): Risi, Vincenzo de. Translator(s): Allegri, Linda; Halsted, G. B. Series: Classic Texts in the Sciences. Num Pages: 388 pages, 83 black & white illustrations, 6 colour illustrations, biography. BIC Classification: PBMH; PBX. Category: (P) Professional & Vocational. Dimension: 247 x 163 x 26. Weight in Grams: 798. . 2014. Hardback. . . . .
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ISBN 10: 3319792881 ISBN 13: 9783319792880
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Taschenbuch. Zustand: Neu. Neuware -This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz¿s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz¿s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz¿s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments.This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 204 pp. Englisch.
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Verlag: Springer International Publishing, 2018
ISBN 10: 3319792881 ISBN 13: 9783319792880
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz's work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz's essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz's manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments.This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.
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ISBN 10: 3319198629 ISBN 13: 9783319198620
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ISBN 10: 3319198629 ISBN 13: 9783319198620
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ISBN 10: 3319377914 ISBN 13: 9783319377919
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Taschenbuch. Zustand: Neu. Neuware -This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work.Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry.Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclidean geometries.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 392 pp. Englisch.