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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