Download the fantastic book titled Geometry The Line and the Circle written by Maureen T. Carroll, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Geometry The Line and the Circle", which was released on 20 December 2018. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Geometry genre.
Summary of Geometry The Line and the Circle by Maureen T. Carroll PDF
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Detail About Geometry The Line and the Circle PDF
- Author : Maureen T. Carroll
- Publisher : American Mathematical Soc.
- Genre : Geometry
- Total Pages : 480 pages
- ISBN : 1470448432
- Release Date : 20 December 2018
- PDF File Size : 30,6 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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