Revolutions of Geometry

Informationen zum Autor Michael O'Leary , PhD, is Professor of Mathematics at the College of DuPage. He received his PhD in mathematics from the University of California, Irvine in 1994. Klappentext Based on the premise that in order to write proofs, one needs to read finished proofs as well as study both their logic and grammar, Revolutions in Geometry depicts how to write basic proofs in various fields of geometry. This accessible text for junior and senior undergraduates explains the general development of geometry throughout time, discusses the involvement of its major contributors, and places the proofs into the context of geometry's history to illustrate how crucial proof writing is to the job of a mathematician. Zusammenfassung Based on the premise that in order to write proofs, one needs to read finished proofs as well as study both their logic and grammar, Revolutions in Geometry depicts how to write basic proofs in various fields of geometry. Inhaltsverzeichnis Preface xi Acknowledgements xiii Part I Foundations 1 The First Geometers 3 2 Thales 27 3 Plato and Aristotle 53 Part II The Golden Age 4 Pythagoras 87 5 Euclid 123 6 Archimedes 173 Part III Enlightenment 7 François Viète 227 8 René Descartes 267 9 Gérard Desargues 293 Part IV A Strange New World 10 Giovanni Saccheri 323 11 Johann Lambert 353 12 Nicolai Lobachevski and János Bolyai 393 Part V New Directions 13 Bernhard Riemann 443 14 Jean-Victor Poncelet 483 15 Felix Klein 519 References 565 Index 573

Product details

• Authors: &apos, Michael Leary, O&apos, O'Leary, Michael O'Leary, Michael L O'Leary, Michael L. O'Leary, M O''leary, Michael O''leary, Michael L. O''leary, Michael L. (College of Dupage) O''leary, O'Leary Michael L.
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 05.03.2010
• EAN: 9780470167557
• ISBN: 978-0-470-16755-7
• No. of pages: 608
• Series: Wiley Series in Pure and Applied Mathematics; Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts; Wiley Series in Pure and Applied Mathematics; Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; Geschichte, Mathematik, Geometrie, Education, History, Bildungswesen, Mathematics, Geschichte der Medizin u. Naturwissenschaften, Geometrie u. Topologie, Geometry & Topology, History of Science & Medicine, Lehrpläne / Mathematik