Year: 2020 Language: english Author: Marshall A. Whittlesey Publisher: CRC Press Edition: 1st ISBN: 9780367196905 Format: PDF Quality: eBook Pages count: 350 Description: Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: - A well-rounded introduction to spherical geometry - Provides several proofs of some theorems to appeal to larger audiences - Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography - Many problems are based on propositions from the ancient text Sphaerica of Menelaus
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Spherical Geometry and Its Applications
Language: english
Author: Marshall A. Whittlesey
Publisher: CRC Press
Edition: 1st
ISBN: 9780367196905
Format: PDF
Quality: eBook
Pages count: 350
Description: Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject.
The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane.
Features:
- A well-rounded introduction to spherical geometry
- Provides several proofs of some theorems to appeal to larger audiences
- Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography
- Many problems are based on propositions from the ancient text Sphaerica of Menelaus
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