Van Brummelen Heavenly Mathematics

The Forgotten Art of Spherical Trigonometry
Course Book
ISBN: 978-1-4008-4480-7
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 208 Seiten

Glen Van Brummelen is coordinator of mathematics at Quest University Canada and former president of the Canadian Society for History and Philosophy of Mathematics. He won the 2016 Haimo Award for Distinguished College or University Teaching of Mathematics, awarded by the Mathematical Association of America, and the 2017 3M National Teaching Fellowship, awarded by the Society for Teaching and Learning in Higher Education.

Autoren/Hrsg.

Van Brummelen, Glen

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Naturwissenschaften Astronomie Astronomie: Allgemeines
• Technische Wissenschaften Verkehrstechnik | Transportgewerbe Verkehrstechnologie: Allgemeines
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Inhaltsverzeichnis

Preface vii

1 Heavenly Mathematics 1

2 Exploring the Sphere 23

3 The Ancient Approach 42

4 The Medieval Approach 59

5 The Modern Approach: Right- Angled Triangles 73

6 The Modern Approach: Oblique Triangles 94

7 Areas, Angles, and Polyhedra 110

8 Stereographic Projection 129

9 Navigating by the Stars 151

Appendix A. Ptolemy's Determination of the Sun's Position 173

Appendix B. Textbooks 179

Appendix C. Further Reading 182

Index 189

Über Autor(innen)

Glen Van Brummelen is coordinator of mathematics at Quest University Canada and former president of the Canadian Society for History and Philosophy of Mathematics. He won the 2016 Haimo Award for Distinguished College or University Teaching of Mathematics, awarded by the Mathematical Association of America, and the 2017 3M National Teaching Fellowship, awarded by the Society for Teaching and Learning in Higher Education.