Geometry The Line and the Circle is popular PDF and ePub book, written by Maureen T. Carroll in 2018-12-20, it is a fantastic choice for those who relish reading online the Geometry genre. Let's immerse ourselves in this engaging Geometry book by exploring the summary and details provided below. Remember, Geometry The Line and the Circle can be Read Online from any device for your convenience.
Geometry The Line and the Circle Book PDF Summary
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 Book of Geometry The Line and the Circle PDF
- Author : Maureen T. Carroll
- Release : 20 December 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470448431
- Genre : Geometry
- Total Page : 480 pages
- Language : English
- PDF File Size : 7,5 Mb
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