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

An unparalleled illustrated history of spherical trigonometry from antiquity to today

Heavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the discipline was also a mainstay of mathematics education for centuries and taught widely until the 1950s. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation of its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams. This unique compendium also features easy-to-use appendixes as well as exercises that originally appeared in textbooks from the eighteenth to the early twentieth centuries.

Autoren/Hrsg.

Van Brummelen, Glen

Fachgebiete

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