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OverviewFull Product DetailsAuthor: Michael Hvidsten (Gustavus Adolphus College, St. Peter, Minnesota, USA)Publisher: Taylor & Francis Ltd Imprint: CRC Press Edition: 2nd edition Weight: 0.960kg ISBN: 9781032477060ISBN 10: 1032477067 Pages: 558 Publication Date: 21 January 2023 Audience: College/higher education , General/trade , Tertiary & Higher Education , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents"Geometry and the Axiomatic Method Early Origins of Geometry Thales and Pythagoras Project 1 - The Ratio Made of Gold The Rise of the Axiomatic Method Properties of the Axiomatic Systems Euclid's Axiomatic Geometry Project 2 - A Concrete Axiomatic System Euclidean Geometry Angles, Lines, and Parallels ANGLES, LINES, AND PARALLELS 51 Congruent Triangles and Pasch's Axiom Project 3 - Special Points of a Triangle Measurement and Area Similar Triangles Circle Geometry Project 4 - Circle Inversion and Orthogonality Analytic Geometry The Cartesian Coordinate System Vector Geometry Project 5 - Bezier Curves Angles in Coordinate Geometry The Complex Plane Birkhoff's Axiomatic System Constructions Euclidean Constructions Project 6 - Euclidean Eggs Constructibility Transformational Geometry Euclidean Isometries Reflections Translations Rotations Project 7 - Quilts and Transformations Glide Reflections Structure and Representation of Isometries Project 8 - Constructing Compositions Symmetry Finite Plane Symmetry Groups Frieze Groups Wallpaper Groups Tilting the Plane Project 9 - Constructing Tesselations Hyperbollic Geometry Background and History Models of Hyperbolic Geometry Basic Results in Hyperbolic Geometry Project 10 - The Saccheri Quadrilateral Lambert Quadrilaterals and Triangles Area in Hyperbolic Geometry Project 11 - Tilting the Hyperbolic Plane Elliptic Geometry Background and History Perpendiculars and Poles in Elliptic Geometry Project 12 - Models of Elliptic Geometry Basic Results in Elliptic Geometry Triangles and Area in Elliptic Geometry Project 13 - Elliptic Tiling Projective Geometry Universal Themes Project 14 - Perspective and Projection Foundations of Projective Geometry Transformations and Pappus's Theorem Models of Projective Geometry Project 15 - Ratios and Harmonics Harmonic Sets Conics and Coordinates Fractal Geometry The Search for a ""Natural"" Geometry Self-Similarity Similarity Dimension Project 16 - An Endlessly Beautiful Snowflake Contraction Mappings Fractal Dimension Project 17 - IFS Ferns Algorithmic Geometry Grammars and Productions Project 18 - Words Into Plants Appendix A: A Primer on Proofs Appendix A A Primer on Proofs 497 Appendix B Book I of Euclid’s Elements Appendix C Birkhoff’s Axioms Appendix D Hilbert’s Axioms Appendix E Wallpaper Groups"ReviewsAuthor InformationMichael Hvidsten is Professor of Mathematics at Gustavus Adlophus College in St. Peter, Minnesota. He holds a PhD from the University of Illinois. His research interests include minimal surfaces, computer graphics and scientific visualizations, and software development. Geometry Explorer software is available free from his website. Tab Content 6Author Website:Countries AvailableAll regions |
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