Fundamentals of Mathematics: Geometry [2, 1 ed.] 9780262520942

Table of contents :
Translator’s Foreword........................................................................................ vii

Preface....................................................................................................... ix



PART A. FOUNDATIONS OF GEOMETRY



CHAPTER 1. Geometry-A Phenomenological Discussion, H. Freudenthal and A. Bauer............................... 3

CHAPTER 2. Points, Vectors, and Reflections, F. Bachmann and J. Boczeck....................................... 29

CHAPTER 3. Affine and Projectire Planes, R. Lingenberg and A. Bauer........................................... 54

CHAPTER 4. Euclidean Planes, J. Diller and J. Boczeck........................................................ 112

CHAPTER 5. Absolute Geometry, F. Bachmann, W. Pejas, H. Wolff, and A. Bauer.................................. 129

CHAPTER 6. The Classical Euclidean and the Classical Hyperbolic Geometry, H. Karzel and E. Ellers............ 174

CHAPTER 7. Geometric Constructions, W. Breidenbach and W. Suss.............................................. 193

CHAPTER 8. Polygons and Polyhedra, J. Gerretsen and P. Verdenduin............................................ 238




PART B. ANALYTIC TREATMENT OF GEOMETRY



CHAPTER 9. Affine and Euclidean Geometry, F. Flohr and F. Raith............................................... 293

CHAPTER 10. From Projective to Euclidean Geometry, G. Pickert, R. Stendor, and M. Hellwich................... 385

CHAPTER 11. Algebraic Geometry, W. Enron and A. Bauer........................................................ 437

CHAPTER 12. Erlanger Program and Higher Geometry, H. Kunle and K. Fladt...................................... 460

CHAPTER 13. Group Theory and Geometry, H. Freudenthal and H.-G. Steiner...................................... 516

CHAPTER 14. Differential Geometry of Curves and Surfaces, W. Suss, H. Gerieke, and K. H. Berger.............. 534

CHAPTER 15. Convex Figures, W. Suss, U. Viet, and K. H. Berger............................................... 572

CHAPTER 16. Aspects of Topology, K. H. Weise and H. Noack.................................................... 593


INDEX........................................................................................................ 671

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