Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson's line, Heron's formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable.
Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.
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"This is a book intended to lead the high school or college student who has had no exposure to geometry to solve some elementary geometry problems of competition type and to do well on the geometry part of standardized tests ... . Mastering the techniques presented in this book, which includes solved homework problem sets in each chapter, should enable the student to solve all geometry problems that are solvable by computational means ... ." (Victor V. Pambuccian, Mathematical Reviews, June, 2014)