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Spherical Geometry and Its Applications
Engelsk
Bogcover for Spherical Geometry and Its Applications af Marshall Whittlesey, 9781032475370
Specifikationer
Sprog:
Engelsk
Sider:
348
ISBN-13:
9781032475370
Indbinding:
Paperback
ISBN-10:
1032475374
Udg. Dato:
21 jan 2023
Størrelse i cm:
15,5 x 23,4 x 2,2
Oplagsdato:
21 jan 2023
Forfatter(e):

Spherical Geometry and Its Applications

Engelsk
Paperback 2023
Format:

Bog beskrivelse

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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    Specifikationer
    Sprog:
    Engelsk
    Sider:
    348
    ISBN-13:
    9781032475370
    Indbinding:
    Paperback
    ISBN-10:
    1032475374
    Udg. Dato:
    21 jan 2023
    Størrelse i cm:
    15,5 x 23,4 x 2,2
    Oplagsdato:
    21 jan 2023
    Forfatter(e):
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