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Geometry : A High School Course - Serge Lang

Geometry

A High School Course

Hardcover

Published: 10th November 2000
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From the reviews: "A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course. The result is a challenging, vividly written volume which offers a broader treatment than the traditional Euclidean one, but which preserves its pedagogical virtues. The material included has been judiciously selected: some traditional items have been omitted, while emphasis has been laid on topics which relate the geometry course to the mathematics that precedes and follows. The exposition is clear and precise, while avoiding pedantry. There are many exercises, quite a number of them not routine. The exposition falls into twelve chapters: 1. Distance and Angles. - 2. Coordinates. - 3. Area and the Pythagoras Theorem. - 4. The Distance Formula. - 5. Some Applications of Right Triangles. - 6. Polygons. - 7. Congruent Triangles. - 8. Dilatations and Similarities. - 9. Volumes. - 10. Vectors and Dot Product. - 11. Transformations. - 12. Isometries. This excellent text, presenting elementary geometry in a manner fully corresponding to the requirements of modern mathematics, will certainly obtain well-merited popularity. Publicationes Mathematicae Debrecen#1

Introduction
Distance and Algebra
Coordinates
Area and the Pythagoras Theorem
The Distance Formula
Some Applications of Right Triangles
Polygons
Congruent Triangles
Dilations and Similarities
Volumes
Vectors and Dot Product
Transformations
Isometries
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387966540
ISBN-10: 0387966544
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 394
Published: 10th November 2000
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.77 x 16.51  x 2.54
Weight (kg): 0.73
Edition Number: 2
Edition Type: Revised