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.
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.
A good understanding of high school geometry, and a fondness for solving problems, should be sufficient background for this book. ... students preparing for mathematics competitions, and their faculty coaches, should find this book very valuable." - Mark Hunacek, MAA Reviews