{"product_id":"revolutions-of-geometry-solutions-manual-to-accompany-revolutions-in-geometry-isbn-9780470167564","title":"Revolutions of Geometry, Solutions Manual to Accompany Revolutions in Geometry","description":"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, \u003ci\u003eRevolutions in Geometry\u003c\/i\u003e 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. \u003cp\u003e\u003cbr\u003ePreface.\u003c\/p\u003e \u003cp\u003eAcknowledgments.\u003c\/p\u003e \u003cp\u003ePART I FOUNDATIONS.\u003c\/p\u003e \u003cp\u003e1 The First Geometers.\u003c\/p\u003e \u003cp\u003e2 Thales.\u003c\/p\u003e \u003cp\u003e3 Plato and Aristotle.\u003c\/p\u003e \u003cp\u003ePART II THE GOLDEN AGE.\u003c\/p\u003e \u003cp\u003e4 Pythagoras.\u003c\/p\u003e \u003cp\u003e5 Euclid.\u003c\/p\u003e \u003cp\u003e6 Archimedes.\u003c\/p\u003e \u003cp\u003ePART III ENLIGHTENMENT.\u003c\/p\u003e \u003cp\u003e7 François Viète.\u003c\/p\u003e \u003cp\u003e8 René Descartes.\u003c\/p\u003e \u003cp\u003e9 Gérard Desargues.\u003c\/p\u003e \u003cp\u003ePART IV A STRANGE NEW WORLD.\u003c\/p\u003e \u003cp\u003e10 Giovanni Saccheri.\u003c\/p\u003e \u003cp\u003e11 Johann Lambert.\u003c\/p\u003e \u003cp\u003e12 Nicolai Lobachevski and János Bolyai.\u003c\/p\u003e \u003cp\u003ePART V NEW DIRECTIONS.\u003c\/p\u003e \u003cp\u003e13 Bernhard Riemann.\u003c\/p\u003e \u003cp\u003e14 Jean-Victor Poncelet.\u003c\/p\u003e \u003cp\u003e15 Felix Klein.\u003c\/p\u003e \u003cp\u003eReferences.\u003c\/p\u003e \u003cp\u003eIndex.\u003c\/p\u003e  \u003cp\u003e\u003cstrong\u003eMichael L. O'Leary\u003c\/strong\u003e, PhD, is Associate Professor of Mathematics at the College of DuPage in Glenn Ellyn, Illinois.?He is a Member of the American Mathematical Society, the Canadian Society for the History and Philosophy of Mathematics, and the Mathematical Society of America.?He received his PhD in Mathematics from the University of California, Irvine in 1994.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989961556197,"sku":"NP9780470167564","price":47.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470167564.jpg?v=1761786041","url":"https:\/\/k12savings.com\/es\/products\/revolutions-of-geometry-solutions-manual-to-accompany-revolutions-in-geometry-isbn-9780470167564","provider":"K12savings","version":"1.0","type":"link"}