Geometry

1. Front Matter

   Pages i-xii

   PDF

2. Distance and Angles

   • Serge Lang, Gene Murrow

   Pages 1-64

3. Coordinates

   • Serge Lang, Gene Murrow

   Pages 65-80

4. Area and the Pythagoras Theorem

   • Serge Lang, Gene Murrow

   Pages 81-109

5. The Distance Formula

   • Serge Lang, Gene Murrow

   Pages 110-122

6. Some Applications of Right Triangles

   • Serge Lang, Gene Murrow

   Pages 123-161

7. Polygons

   • Serge Lang, Gene Murrow

   Pages 162-176

8. Congruent Triangles

   • Serge Lang, Gene Murrow

   Pages 177-209

9. Dilations and Similarities

   • Serge Lang, Gene Murrow

   Pages 210-260

10. Volumes

    • Serge Lang, Gene Murrow

    Pages 261-294

11. Vectors and Dot Product

    • Serge Lang, Gene Murrow

    Pages 295-320

12. Transformations

    • Serge Lang, Gene Murrow

    Pages 321-355

13. Isometries

    • Serge Lang, Gene Murrow

    Pages 356-389

14. Back Matter

    Pages 391-394

    PDF

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

• Area
• DEX
• Mathematica
• Microsoft Access
• Volume
• algebra
• boundary element method
• form
• geometry
• mathematics
• polygon
• requirement
• requirements
• review
• theorem

• Department of Mathematics, Yale University, New Haven, USA

  Serge Lang

• Ossining, USA

  Gene Murrow

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