Overview
Contains over 160 complex problems with answers, hints, and detailed solutions
Serves as the bridge to more advanced texts in problem-solving
Serves as a self-study or extra resource in the classroom
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Table of contents (5 chapters)
Keywords
About this book
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.
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)
Authors and Affiliations
Bibliographic Information
Book Title: Methods of Solving Complex Geometry Problems
Authors: Ellina Grigorieva
DOI: https://doi.org/10.1007/978-3-319-00705-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Hardcover ISBN: 978-3-319-00704-5Published: 19 August 2013
Softcover ISBN: 978-3-319-37562-5Published: 23 August 2016
eBook ISBN: 978-3-319-00705-2Published: 13 August 2013
Edition Number: 1
Number of Pages: XVI, 234
Number of Illustrations: 10 b/w illustrations, 191 illustrations in colour
Topics: Geometry, History of Mathematical Sciences