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Spherical Geometry and Its Applications

List Price: $69.99
SKU:
9781032475370
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  • Product Details

    Author:
    Marshall Whittlesey
    Format:
    Paperback
    Pages:
    348
    Publisher:
    CRC Press (January 21, 2023)
    Language:
    English
    ISBN-13:
    9781032475370
    Weight:
    19.125oz
    Dimensions:
    6.125" x 9.1875"
    File:
    TAYLORFRANCIS-TayFran_260825153154877-20260825.xml
    Folder:
    TAYLORFRANCIS
    List Price:
    $69.99
    Series:
    Textbooks in Mathematics
    Case Pack:
    50
    As low as:
    $66.49
    Publisher Identifier:
    P-CRC
    Discount Code:
    H
    Country of Origin:
    United States
    Pub Discount:
    30
    Imprint:
    Chapman and Hall/CRC
  • Overview

    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