Methods of Solving Complex Geometry Problems by Ellina GrigorievaMethods of Solving Complex Geometry Problems by Ellina Grigorieva

Methods of Solving Complex Geometry Problems

byEllina Grigorieva

Hardcover | August 19, 2013

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This book is a unique collection of challenging geometry problems and detailed solutions that will build students' confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry's connections with different fields of mathematics,Methods of Solving Complex Geometry Problemsserves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader's ability to solve math problems through the direct application of theorems.

Containing over 160 complex problems with hints and detailed solutions,Methods of Solving Complex Geometry Problemscan 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 Problemswill 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.

Title:Methods of Solving Complex Geometry ProblemsFormat:HardcoverDimensions:234 pagesPublished:August 19, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319007041

ISBN - 13:9783319007045


Table of Contents

1 Problems Involving Triangles.- 2 Quadrilaterals and other Polygons.- 3 Problems Involving Circles.- 4 Problems on Construction.- Appendix A Ratios and Proportion.- Appendix B My 9th Grade Notebook Page.- Appendix C My Pictures.- References.- Index.

Editorial Reviews

From the book reviews:"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)