Geometry: The Line and the Circle

Geometry: The Line and the Circle

2018 | ISBN: 1470448432 | English | 502 Pages | PDF | 9 MB

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.


[Fast Download] Geometry: The Line and the Circle

Related eBooks:
Explainable AI: Interpreting, Explaining and Visualizing Deep Learning
Emotional Design in Human-Robot Interaction: Theory, Methods and Applications
Nonlinear Expectations and Stochastic Calculus under Uncertainty: with Robust CLT and G-Brownian Mot
Blow-Up in Nonlinear Equations of Mathematical Physics : Theory and Methods
Robotic Building
Proof!: How the World Became Geometrical
Application Of Integral Calculus
Index Theory, Eta Forms, and Deligne Cohomology (Memoirs of the American Mathematical Society)
Plane Algebraic Curves
Elaborating Professionalism: Studies in Practice and Theory (Innovation and Change in Professional E
Inspired by S S Chern: A Memorial Volume in Honor of a Great Mathematician
High School Trigonometry Tutor
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.