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Euclidean plane and its relatives: A minimalist introduction - Softcover

 
9781974214167: Euclidean plane and its relatives: A minimalist introduction

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Synopsis

The book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalist.

List of topics:
Euclidean geometry: The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Similar triangles / Parallel lines / Triangle geometry.
Inversive geometry: Inscribed angles / Inversion.
Non-Euclidean geometry: Neutral plane / Hyperbolic plane / Geometry of h-plane.
Additional topics: Affine geometry / Projective geometry / Spherical geometry / Projective model / Complex coordinates / Geometric constructions / Area.

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About the Author

Professor of Mathematics at Penn State.

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Other Popular Editions of the Same Title

9781650229676: Euclidean plane and its relatives: A minimalist introduction

Featured Edition

ISBN 10:  1650229674 ISBN 13:  9781650229676
Publisher: Independently published, 2019
Softcover