Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics.This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
- 485 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Methods for Euclidean Geometry
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Table of contents
- Cover
- Copyright
- Title
- Preface
- Contents
- 1 Early History
- 2 Axioms: From Euclid to Today
- 3 Lines and Polygons
- 4 Circles
- 5 Length and Area
- 6 Loci
- 7 Trigonometry
- 8 Coordinatization
- 9 Conics
- 10 Complex Numbers
- 11 Vectors
- 12 Affine Transformations
- 13 Inversions
- 14 Coordinate Method with Software
- Epilogue
- Hints to Chapter Problems
- Solutions to Chapter Problems
- Bibliography
- Index
- About the Authors
- Back cover
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Yes, you can access Methods for Euclidean Geometry by Owen Byer,Felix Lazebnik,Deirdre L. Smeltzer in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.