Methods of Solving Complex Geometry Problems

  • Ellina Grigorieva

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Ellina Grigorieva
    Pages 1-91
  3. Ellina Grigorieva
    Pages 93-127
  4. Ellina Grigorieva
    Pages 129-185
  5. Ellina Grigorieva
    Pages 187-218
  6. Back Matter
    Pages 219-234

About this book

Introduction

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.

Keywords

Geometry Problem Solving History of Mathematics Math Competition Plane Geometry Pythagorean Theorem Quadrilateral

Authors and affiliations

  • Ellina Grigorieva
    • 1
  1. 1.Mathematics and Computer ScienceTexas Woman's UniversityDentonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00705-2
  • Copyright Information Springer International Publishing Switzerland 2013
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-00704-5
  • Online ISBN 978-3-319-00705-2
  • About this book
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