Methods of Solving Complex Geometry Problems

Authors: Grigorieva, Ellina

  • 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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Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-00705-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $49.99
price for USA
  • ISBN 978-3-319-00704-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $49.99
price for USA
  • ISBN 978-3-319-37562-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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)


Table of contents (4 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-00705-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $49.99
price for USA
  • ISBN 978-3-319-00704-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $49.99
price for USA
  • ISBN 978-3-319-37562-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Methods of Solving Complex Geometry Problems
Authors
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00705-2
DOI
10.1007/978-3-319-00705-2
Hardcover ISBN
978-3-319-00704-5
Softcover ISBN
978-3-319-37562-5
Edition Number
1
Number of Pages
XVI, 234
Number of Illustrations and Tables
10 b/w illustrations, 191 illustrations in colour
Topics