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Geometry and Its Applications de Walter Meyer

Geometry and Its Applications: Textbooks in Mathematics

Autor Walter Meyer
en Limba Engleză Paperback – 26 aug 2024
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
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    Specificații

    ISBN-13: 9780367689995
    ISBN-10: 0367689995
    Pagini: 489
    Ilustrații: 500
    Dimensiuni: 156 x 234 mm
    Greutate: 0.9 kg
    Ediția:3
    Editura: CRC Press
    Colecția Chapman and Hall/CRC
    Seria Textbooks in Mathematics

    Locul publicării:Boca Raton, United States

    Public țintă

    Undergraduate Advanced

    Cuprins

    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

    Recenzii

    "Geometry and its Applications, 3rd edition, offers an impressive table of contents. It covers the usual topics yet goes further by covering other aspects not usually found in an introductory geometry textbook. The book covers the basics of axiomatic geometry with chapters on Euclidean and non-Euclidean geometry incorporating material on hyperbolic and spherical geometries. It includes a series of chapters on transformation geometry, covering isometries, symmetries, similarity, inversion, and projections. Linear algebra is used to study a variety of geometric problems. Some aspects of graph theory related to geometry are introduced in a final chapter.
    A key strength of this book is its strong coverage of many diverse applications of geometry. The author’s background in industry has clearly helped him to present these applications in a nature and understandable way. With over 300 updated applications, many new exercises, and an emphasis on computer science-related applications appeals to student interest this new edition has been streamlined to tighten the presentation."
    -Dr. Ken Rosen

    Descriere

    This unique textbook combines traditional geometry with current ideas to present a contemporary approach that is grounded in real-world applications. It balances introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes.