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Methods for Euclidean Geometry

Methods for Euclidean Geometry

$73.00

Part of Classroom Resource Materials

  • availability: Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
  • format: Hardback
  • isbn: 9780883857632

$73.00
Hardback

Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
Unavailable Add to wishlist

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About the Authors
  • Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.

    • A unique and refreshing approach to teaching Euclidean geometry which will also serve to enhance a student's understanding of mathematics as a whole
    • Over a third of the book is given over to detailed problems of varying difficulty, and their solutions
    • Some of the same exercises are repeated in different chapters so that the student may see how the same problem may be tackled by a number of different methods
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    Product details

    • format: Hardback
    • isbn: 9780883857632
    • length: 476 pages
    • dimensions: 274 x 195 x 29 mm
    • weight: 1.09kg
    • availability: Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
  • Table of Contents

    1. Early history
    2. Axioms: from Euclid to today
    3. Lines and polygons
    4. Circles
    5. Length and area
    6. Loci
    7. Trigonometry
    8. Coordinatization
    9. Conics
    10. Complex numbers
    11. Vectors
    12. A+ne transformations
    13. Inversions
    14. Coordinate method with software.

  • Authors

    Owen Byer, Eastern Mennonite University, Virginia
    fm.author_biographical_note1

    Felix Lazebnik, University of Delaware
    fm.author_biographical_note2

    Deirdre L. Smeltzer, Eastern Mennonite University, Virginia
    fm.author_biographical_note3

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