Softcover ISBN: | 978-0-8218-4323-9 |
Product Code: | MAWRLD/26 |
List Price: | $49.00 |
MAA Member Price: | $44.10 |
AMS Member Price: | $39.20 |
eBook ISBN: | 978-1-4704-2481-7 |
Product Code: | MAWRLD/26.E |
List Price: | $45.00 |
MAA Member Price: | $40.50 |
AMS Member Price: | $36.00 |
Softcover ISBN: | 978-0-8218-4323-9 |
eBook: ISBN: | 978-1-4704-2481-7 |
Product Code: | MAWRLD/26.B |
List Price: | $94.00 $71.50 |
MAA Member Price: | $84.60 $64.35 |
AMS Member Price: | $75.20 $57.20 |
Softcover ISBN: | 978-0-8218-4323-9 |
Product Code: | MAWRLD/26 |
List Price: | $49.00 |
MAA Member Price: | $44.10 |
AMS Member Price: | $39.20 |
eBook ISBN: | 978-1-4704-2481-7 |
Product Code: | MAWRLD/26.E |
List Price: | $45.00 |
MAA Member Price: | $40.50 |
AMS Member Price: | $36.00 |
Softcover ISBN: | 978-0-8218-4323-9 |
eBook ISBN: | 978-1-4704-2481-7 |
Product Code: | MAWRLD/26.B |
List Price: | $94.00 $71.50 |
MAA Member Price: | $84.60 $64.35 |
AMS Member Price: | $75.20 $57.20 |
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Book DetailsMathematical WorldVolume: 26; 2007; 134 ppMSC: Primary 51
The book is devoted to the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, the authors move to less trivial results, both classical and contemporary. In particular, the chapter on projective properties of conics contains a detailed analysis of the polar correspondence, pencils of conics, and the Poncelet theorem. In the chapter on metric properties of conics the authors discuss, in particular, inscribed conics, normals to conics, and the Poncelet theorem for confocal ellipses.
The book demonstrates the advantage of purely geometric methods of studying conics. It contains over 50 exercises and problems aimed at advancing geometric intuition of the reader. The book also contains more than 100 carefully prepared figures, which will help the reader to better understand the material presented.
ReadershipUndergraduate and graduate students interested in geometry.
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Table of Contents
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Chapters
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Chapter 1. Elementary properties of curves of second degree
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Chapter 2. Some results from classical geometry
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Chapter 3. Projective properties of conics
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Chapter 4. Euclidean properties of curves of second degree
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Chapter 5. Solutions to the problems
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Additional Material
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Reviews
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The book is well written and contains a lot of figures illustrating the theorems and their proofs.
MAA Reviews
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
The book is devoted to the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, the authors move to less trivial results, both classical and contemporary. In particular, the chapter on projective properties of conics contains a detailed analysis of the polar correspondence, pencils of conics, and the Poncelet theorem. In the chapter on metric properties of conics the authors discuss, in particular, inscribed conics, normals to conics, and the Poncelet theorem for confocal ellipses.
The book demonstrates the advantage of purely geometric methods of studying conics. It contains over 50 exercises and problems aimed at advancing geometric intuition of the reader. The book also contains more than 100 carefully prepared figures, which will help the reader to better understand the material presented.
Undergraduate and graduate students interested in geometry.
-
Chapters
-
Chapter 1. Elementary properties of curves of second degree
-
Chapter 2. Some results from classical geometry
-
Chapter 3. Projective properties of conics
-
Chapter 4. Euclidean properties of curves of second degree
-
Chapter 5. Solutions to the problems
-
The book is well written and contains a lot of figures illustrating the theorems and their proofs.
MAA Reviews