A problem-solving book on Euclidean geometry, providing carefully chosen worked examples and over 300 practice problems from contests around the world.
A problem-solving book on Euclidean geometry, providing carefully chosen worked examples and over 300 practice problems from contests around the world.
Evan Chen is currently an undergraduate studying at the Massachusetts Institute of Technology. He won the 2014 USA Mathematical Olympiad, earned a gold medal at the IMO 2014 for Taiwan, and acts as a Problem Czar for the Harvard-MIT Mathematics Tournament.
Inhaltsangabe
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.
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.
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