eBook ISBN:  9781470457129 
Product Code:  CLRM/37.E 
List Price:  $55.00 
MAA Member Price:  $41.25 
AMS Member Price:  $41.25 
eBook ISBN:  9781470457129 
Product Code:  CLRM/37.E 
List Price:  $55.00 
MAA Member Price:  $41.25 
AMS Member Price:  $41.25 

Book DetailsClassroom Resource MaterialsVolume: 37; 2010; 461 pp
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.

Table of Contents

Chapters

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


Additional Material

Reviews

... Besides being excellent for a first course in Euclidean geometry, this book is also excellent for an upper level course in which students can see, in one basket, the fruits of what they had learned in many different courses. It is also excellent for training beginning students for competitions.
Mowaffaq Hajja, Zentrallblatt 
“Methods for Euclidean Geometry” is a college geometry textbook with a unique mission. Instead of treating the subject as a distinct unit in the math curriculum, the authors integrate a variety of mathematical disciplines to engage and enlighten the reader ... With its treatment of history, unusual proofs and various methods of finding solutions, this text strives to teach the whole picture. “Methods for Euclidean Geometry” does a wonderful job exploring geometry through fresh new eyes.
Ruth Doherty, MAA Reviews


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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.

Chapters

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

... Besides being excellent for a first course in Euclidean geometry, this book is also excellent for an upper level course in which students can see, in one basket, the fruits of what they had learned in many different courses. It is also excellent for training beginning students for competitions.
Mowaffaq Hajja, Zentrallblatt 
“Methods for Euclidean Geometry” is a college geometry textbook with a unique mission. Instead of treating the subject as a distinct unit in the math curriculum, the authors integrate a variety of mathematical disciplines to engage and enlighten the reader ... With its treatment of history, unusual proofs and various methods of finding solutions, this text strives to teach the whole picture. “Methods for Euclidean Geometry” does a wonderful job exploring geometry through fresh new eyes.
Ruth Doherty, MAA Reviews