Overview

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 Problems serves 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 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.

Full Product Details

Author:   Ellina Grigorieva
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   Softcover reprint of the original 1st ed. 2013
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   3.869kg
ISBN:  

9783319375625

ISBN 10:   3319375628
Pages:   234
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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.     

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)

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)

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