Geometry: A High School Course - Hardcover

Lang, Serge; Murrow, Gene

Hardcover

ISBN 10: 0387966544 ISBN 13: 9780387966540

Publisher: Springer, 1988

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. 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

About this title

Synopsis

'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".

Edition details

• Publisher: Springer
• Publication date: 1988
• ISBN 10: 0387966544
• ISBN 13: 9780387966540
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 406