eBook ISBN: | 978-1-4704-5683-2 |
Product Code: | DOL/29.E |
List Price: | $60.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $45.00 |
eBook ISBN: | 978-1-4704-5683-2 |
Product Code: | DOL/29.E |
List Price: | $60.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $45.00 |
-
Book DetailsDolciani Mathematical ExpositionsVolume: 29; 2005; 403 ppMSC: Primary 00
This book engages the reader in a journey of discovery through a spirited discussion among three characters: philosopher, teacher, and student. Throughout the book, philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, worked-out examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.
-
Table of Contents
-
Chapters
-
Chapter 1. Beauty and the Beast
-
Chapter 2. Life at Infinity
-
Chapter 3. How to Gift-Wrap a Hyperbola
-
Chapter 4. The Cube
-
Chapter 5. The Other Foci: A Well-Kept Secret
-
Chapter 6. Are Hyperbolas Really Ellipses?
-
Chapter 7. Stakes and Strings
-
Chapter 8. Directrices, New and Old
-
Chapter 9. Conics in General Position
-
Chapter 10. A Beautiful Mathematical Universe
-
Chapter 11. A Most Excellent Theorem
-
Chapter 12. The Big View
-
Chapter 13. Curvature
-
Chapter 14. Curvature of Conics
-
Chapter 15. Photons and Conics
-
Chapter 16. How Conics Solved a 2000-Year-Old Problem
-
Chapter 17. Waves and Conics
-
Appendix 1. Some Conics Formulas
-
Appendix 2. Topology: A Quick Handshake
-
-
Reviews
-
This highly commendable work brings fresh perspective and astonishing new insight to its venerable subject. In Professor Kendig's skillful hands, the reader is brought to view the conic sections within the broader framework of algebraic curves in complex projective space. The resulting interplay is both instructive and pleasurable.
Basil Gordon, UCLA
-
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
This book engages the reader in a journey of discovery through a spirited discussion among three characters: philosopher, teacher, and student. Throughout the book, philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, worked-out examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.
-
Chapters
-
Chapter 1. Beauty and the Beast
-
Chapter 2. Life at Infinity
-
Chapter 3. How to Gift-Wrap a Hyperbola
-
Chapter 4. The Cube
-
Chapter 5. The Other Foci: A Well-Kept Secret
-
Chapter 6. Are Hyperbolas Really Ellipses?
-
Chapter 7. Stakes and Strings
-
Chapter 8. Directrices, New and Old
-
Chapter 9. Conics in General Position
-
Chapter 10. A Beautiful Mathematical Universe
-
Chapter 11. A Most Excellent Theorem
-
Chapter 12. The Big View
-
Chapter 13. Curvature
-
Chapter 14. Curvature of Conics
-
Chapter 15. Photons and Conics
-
Chapter 16. How Conics Solved a 2000-Year-Old Problem
-
Chapter 17. Waves and Conics
-
Appendix 1. Some Conics Formulas
-
Appendix 2. Topology: A Quick Handshake
-
This highly commendable work brings fresh perspective and astonishing new insight to its venerable subject. In Professor Kendig's skillful hands, the reader is brought to view the conic sections within the broader framework of algebraic curves in complex projective space. The resulting interplay is both instructive and pleasurable.
Basil Gordon, UCLA