{"product_id":"foundations-of-geometry-paperback","title":"Foundations of Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eC. R. Wylie\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eGeared toward students preparing to teach high school mathematics, this text is also of value to professionals, as well as to students seeking further background in geometry. It explores the principles of Euclidean and non-Euclidean geometry, and it instructs readers in both generalities and specifics of the axiomatic method.\u003cbr\u003eWell-written and accessible, the text begins by acquainting students with the axiomatic method as well as a general pattern of thought. Subsequent chapters present in-depth coverage of Euclidean geometry, including the geometry of four dimensions, plane hyperbolic geometry, and a Euclidean model of the hyperbolic plane. Detailed definitions, corollaries, theorems, and postulates are explained incrementally and illustrated by numerous figures. Each chapter concludes with multiple exercises that test and reinforce students' understanding of the material.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eThe late C. R. Wylie, Jr., taught for many years at the University of Utah, where he was Chairman of the Department of Mathematics. \u003c\/p\u003e\u003cp\u003e\u003cb\u003eA Dover Original \u003cbr\u003e\u003c\/b\u003eClarence Raymond Wylie, Jr., had a long career as a writer of mathematics and engineering textbooks. His \u003ci\u003eAdvanced Engineering Mathematics\u003c\/i\u003e was the standard text in that field starting in the 1950s and for many decades thereafter. He also wrote widely used textbooks on geometry directed at students preparing to become secondary school teachers, which also serve as very useful reviews for college undergraduates even today. Dover reprinted two of these books in recent years, \u003ci\u003eIntroduction to Projective Geometry\u003c\/i\u003e in 2008 and \u003ci\u003eFoundations of\u003c\/i\u003e \u003ci\u003eGeometry \u003c\/i\u003ein 2009. \u003c\/p\u003e\u003cp\u003eThe author is important to our program for another reason, as well. In 1957, when Dover was publishing very few original books of any kind, we published Wylie's original manuscript \u003ci\u003e101 Puzzles in Thought and Logic\u003c\/i\u003e. The book is still going strong after 55 years, and the gap between its first appearance in 1957 and \u003ci\u003eIntroduction to Projective Geometry\u003c\/i\u003e in 2008 may be the longest period of time between the publication of two books by the same author in the history of the Dover mathematics program. Wylie's 1957 book launched the Dover category of intriguing logic puzzles, which has seen the appearance of many books by some of the most popular authors in the field including Martin Gardner and, more recently, Raymond Smullyan. \u003c\/p\u003e\u003cp\u003eHere's a quick one from \u003ci\u003e101 Puzzles in Thought and Logic: \u003c\/i\u003e \u003c\/p\u003e\u003cp\u003eIf it takes twice as long for a passenger train to pass a freight train after it first overtakes it as it takes the two trains to pass when going in opposite directions, how many times faster than the freight train is the passenger train? \u003c\/p\u003e\u003cp\u003eAnswer: The passenger train is three times as fast as the freight train.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 350\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.8 x 8.9 x 5.9 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 01, 2009\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47336719384825,"sku":"9780486472140","price":21.55,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/L09Va09tVFhYUWFxR2xhRVd3RFVJQT09.webp?v=1769670915","url":"https:\/\/bookscloud.io\/products\/foundations-of-geometry-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}