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Geometry and Its Applications (3rd Ed.) Textbooks in Mathematics Series

Langue : Anglais

Auteur :

Couverture de l’ouvrage Geometry and Its Applications

This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, introduces axiomatic, Euclidean and non-Euclidean, and transformational geometry. The text integrates applications and examples throughout. The Third Edition offers many updates, including expaning on historical notes, Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers.

  • The Third Edition streamlines the treatment from the previous two editions
  • Treatment of axiomatic geometry has been expanded
  • Nearly 300 applications from all fields are included
  • An emphasis on computer science-related applications appeals to student interest
  • Many new excercises keep the presentation fresh
  • Chapter 1

    The Axiomatic Method in Geometry

    Chapter 2

    The Eucidean Heritage

    Chapter 3

    Non-Euclidean Geometry

    Chapter 4

    Transformation Geometry I: Isometries

    Chapter 5

    Vectors in Geometry

    Chapter 6

    Transformation Geometry II: Isometries and Matrices

    Chapter 7

    Transformation Geometry III: Similarity, Inversion and Projections

    Chapter 8

    Graphs, Maps and Polyhedra

    Walter A. Meyer is a professor at Adelphi University in New York.