Softcover ISBN:  9780821832837 
Product Code:  MAWRLD/20 
List Price:  $37.00 
MAA Member Price:  $33.30 
AMS Member Price:  $29.60 

Book DetailsMathematical WorldVolume: 20; 2004; 128 ppMSC: Primary 00;
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, readerfriendly style. Included are exercises and many figures illustrating the main concepts.
The first chapter talks about the theory of trigonometric and elliptic functions. It includes subjects such as power series expansions, addition and multipleangle formulas, and arithmeticgeometric means. The second chapter discusses various aspects of the Poncelet Closure Theorem. This discussion illustrates to the reader the idea of algebraic geometry as a method of studying geometric properties of figures using algebra as a tool.
This is the second volume originating from a series of lectures given by the authors at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first volume is available as Volume 19 in the AMS series, Mathematical World.ReadershipAdvanced highschool students and undergraduates in mathematics.
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Table of Contents

The legacy of trigonometric functions

1. Introduction

2. Trigonometric functions and infinite series

3. Elliptic functions

Intersection of geometry and algebra

4. Introduction

5. The Poncelet closure theorem

6. The Poncelet theorem for circles

7. The Poncelet theorem in the world of complex numbers

8. Proof of the Poncelet theorem using plane geometry

9. Conclusion


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This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, readerfriendly style. Included are exercises and many figures illustrating the main concepts.
The first chapter talks about the theory of trigonometric and elliptic functions. It includes subjects such as power series expansions, addition and multipleangle formulas, and arithmeticgeometric means. The second chapter discusses various aspects of the Poncelet Closure Theorem. This discussion illustrates to the reader the idea of algebraic geometry as a method of studying geometric properties of figures using algebra as a tool.
This is the second volume originating from a series of lectures given by the authors at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first volume is available as Volume 19 in the AMS series, Mathematical World.
Advanced highschool students and undergraduates in mathematics.

The legacy of trigonometric functions

1. Introduction

2. Trigonometric functions and infinite series

3. Elliptic functions

Intersection of geometry and algebra

4. Introduction

5. The Poncelet closure theorem

6. The Poncelet theorem for circles

7. The Poncelet theorem in the world of complex numbers

8. Proof of the Poncelet theorem using plane geometry

9. Conclusion