Methods for Euclidean Geometry (Classroom Resource Materials)

Byer, Owen; Lazebnik, Felix; Smeltzer, Deirdre L.

ISBN 10: 0883857634 / ISBN 13: 9780883857632

Verlag: The Mathematical Association of America, Washington, Dc, 2010

Beschreibung

No Markings. Bestandsnummer des Verkäufers 044875

Bibliografische Details

Titel: Methods for Euclidean Geometry (Classroom ...

Verlag: The Mathematical Association of America, Washington, Dc

Erscheinungsdatum: 2010

Einband: Hardcover

Zustand: Fine

Auflage: 1st Edition

Über diesen Titel

Inhaltsangabe:

A novel approach to the elucidation of Euclidean geometry, this book uses a variety of mathematical methods rather than focusing solely on the building of geometries from axiom sets. It is ideal as an undergraduate textbook or as a reference for secondary school teachers.

Contraportada:

Methods for Euclidean Geometry explores one of the oldest and most beautiful of mathematical subjects. The book begins with a thorough presentation of classical solution methods for plane geometry problems, but its distinguishing feature is the subsequent collection of methods which have appeared since 1600. For example, the coordinate method, which is a central part of the book, has been part of mathematics for four centuries. However, it has rarely served as a tool that students consider using when faced with geometry problems. The same holds true regarding the use of trigonometry, vectors, complex numbers, and transformations. The book presents each of these as self-contained topics, providing examples of their applications to geometry problems. Both strengths and weaknesses of various methods, as well as the ranges of their effective applications, are discussed. Importance is placed on the problems and their solutions. The book contains numerous problems of varying difficulty; over a third of its contents are devoted to problem statements, hints, and complete solutions. The book can be used as a textbook for geometry courses; as a source book for geometry and other mathematics courses; for capstone, problem-solving, and enrichment courses; and for independent study courses.