Spherical geometry and its applications /
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 subj...
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| Format: | eBook |
| Language: | English |
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Boca Raton, FL :
CRC Press, Taylor & Francis Group,
[2020]
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| Series: | Textbooks in mathematics
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Physical Description: | 1 online resource (xi, 335 pages) |
| Bibliography: | Includes bibliographical references and index |
| ISBN: | 9780429328800 042932880X 9781000627527 1000627527 1000617548 9781000622539 1000622533 9781000617542 |