College Geometry: A Problem Solving Approach with Applications / Edition 2

by Gary Musser, Lynn Trimpe, Vikki Maurer

Overview

For courses in Geometry or Geometry for Future Teachers.

This popular book has four main goals: 1. to help students become better problem solvers, especially in solving common application problems involving geometry; 2. to help students learn many properties of geometric figures, to verify them using proofs, and to use them to solve applied problems; 3. to expose students to the axiomatic method of synthetic Euclidean geometry at an appropriate level of sophistication; and 4. to provide students with other methods for solving problems in geometry, namely using coordinate geometry and transformation geometry. Beginning with informal experiences, the book gradually moves toward more formal proofs, and includes special topics sections.

Product Details

ISBN-13:	9780131879690
Publisher:	Pearson Education
Publication date:	03/01/2007
Series:	Featured Titles for Geometry Series
Edition description:	Revised Edition
Pages:	656
Product dimensions:	8.35(w) x 10.30(h) x 1.30(d)

About the Author

Gary Musser is Professor Emeritus from OregonStateUniversity where he taught for 24 years. He is coauthor of Mathematics for Elementary Teachers, now in its 7^th edition, and A Mathematical View of our World. In addition, he has published over 40 papers, has given more than 65 invited lectures/workshops, was awarded 15 grants, and coauthored the K-8 series Mathematics in Action. While teaching at OSU, he was awarded the university’s prestigious College of Science Carter Award for Teaching.

Lynn Trimpe has taught mathematics at Linn-BentonCommunity College for 28 years. She is a coauthor of College Geometry, 1^st edition, and A Mathematical View of our World, as well as a coauthor of the Student Hints and Solutions Manual to accompany Mathematics for Elementary Teachers. She has presented at regional and national mathematics conferences, has served as president of the Oregon Mathematical Association of Two-Year Colleges (ORMATYC), and was awarded the 1999 Teaching Excellence Award for the Northwest Region by the American Mathematical Association for Two-Year Colleges (AMATYC).

Vikki Maurer is an instructor at Linn-BentonCommunity College and has been teaching for 16 years. She is a coauthor of A Mathematical View of Our World and is a coauthor of the Student Hints and Solutions Manual to accompany Mathematics for Elementary Teachers, now in its 7th edition. She is the author of the Student Solutions Manual and the Instructor Solution Manual for A Mathematical View of Our World. In 2001, she received a Teaching Excellence award from Linn-BentonCommunity College. She also co-created and presented math workshops for talented and gifted elementary school students.

Table of Contents

I. PROBLEM SOLVING, GEOMETRIC SHAPES, AND MEASUREMENT.

1. Problem Solving in Geometry.

2. Geometric Shapes and Measurement.

3. Perimeter, Area, and Volume.

II. FORMAL SYNTHETIC EUCLIDEAN GEOMETRY.

4. Reasoning and Triangle Congruence.

5. Parallel Lines and Quadrilaterals.

6. Similarity.

7. Circles.

III. ALTERNATE APPROACHES TO PLANE GEOMETRY.

8. Coordinate Geometry

9. Transformation Geometry

TOPIC 1. Elementary Logic

TOPIC 2. Inequalities in Algebra and Geometry

TOPIC 3. Non-Euclidean Geometry