Geometry for College Students / Edition 1

Geometry for College Students / Edition 1

by I. Martin Isaacs
     
 

ISBN-10: 0534351794

ISBN-13: 9780534351793

Pub. Date: 11/28/2000

Publisher: Cengage Learning

I. Martin Isaacs', author of the well-known ALGEBRA: A GRADUATE COURSE, has written a new text that will make readers appreciate the beauty of geometry, especially what it can teach about deductive reasoning and the nature of mathematical proofs. The author focuses on the two classic themes of geometry: facts and proofs.

Overview

I. Martin Isaacs', author of the well-known ALGEBRA: A GRADUATE COURSE, has written a new text that will make readers appreciate the beauty of geometry, especially what it can teach about deductive reasoning and the nature of mathematical proofs. The author focuses on the two classic themes of geometry: facts and proofs.

Product Details

ISBN-13:
9780534351793
Publisher:
Cengage Learning
Publication date:
11/28/2000
Edition description:
New Edition
Pages:
240
Product dimensions:
6.20(w) x 9.30(h) x 0.60(d)

Table of Contents

1. THE BASICS Introduction and Apology / Congruent Triangles / Angles and Parallel Lines / Parallelograms / Area / Circles and Arcs / Polygons in Circles / Similarity 2. TRIANGLES The Circumcircle / The Centroid / The Euler Line, Orthocenter and Nine-Point Circle / Computations / The Incircle / Exscribed Circles / Morley's Theorem / Optimization in Triangles 3. CIRCLES AND LINES Simson Lines / The Butterfly Theorem / Cross Ratios / The Radical Axis 4. CEVA's THEOREM AND ITS RELATIVE Ceva's Theorem / Interior and Exterior Cevians / Ceva's Theorem and Angles / Menelaus'' Theorem 5. VECTOR METHODS OF PROOF Vectors / Vectors and Geometry / Dot Products / Checkerboards / A Bit of Trigonometry / Linear Operators 6. GEOMETRIC CONSTRUCTIONS Rules of the Game / Reconstructing Triangles / Tangents / Three Hard Problems / Constructible Numbers / Changing the Rules SOME FURTHER READING / INDEX

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