Euclidean Geometry in Mathematical Olympiads

ISBN-13: 9780883858394 / Angielski / Miękka / 2016 / 326 str.

Evan Chen

Opis

A problem-solving book on Euclidean geometry, providing carefully chosen worked examples and over 300 practice problems from contests around the world.

Spis treści

Preface; Preliminaries; Part I. Fundamentals: 1. Angle chasing; 2. Circles; 3. Lengths and rules; 4. Assorted configurations; Part II. Analytic Techniques: 5. Computational geometry; 6. Complex numbers; 7. Barycentric coordinates; Part III. Farther from Kansas: 8. Inversion; 9. Projective geometry; 10. Complete quadrilaterals; 11. Personal favorites; Part IV. Appendices: Appendix A. An ounce of linear algebra; Appendix B. Hints; Appendix C. Selected solutions; Appendix D. List of contests and abbreviations; Bibliography; Index; About the author.