Geometry: A High School Course

✍ Scribed by Serge Lang, Gene Murrow (auth.)

• Publisher: Springer-Verlag New York
• Year: 1988
• Tongue: English
• Leaves: 405
• Edition: 2
• Category: Library

✦ Synopsis

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. CongruentTriangles.- 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

✦ Table of Contents

Front Matter....Pages i-xii
Distance and Angles....Pages 1-64
Coordinates....Pages 65-80
Area and the Pythagoras Theorem....Pages 81-109
The Distance Formula....Pages 110-122
Some Applications of Right Triangles....Pages 123-161
Polygons....Pages 162-176
Congruent Triangles....Pages 177-209
Dilations and Similarities....Pages 210-260
Volumes....Pages 261-294
Vectors and Dot Product....Pages 295-320
Transformations....Pages 321-355
Isometries....Pages 356-389
Back Matter....Pages 391-394

✦ Subjects

History of Science; Geometry; History of Mathematical Sciences