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Geometry of Conics
 
A. A. Zaslavsky CEMI RAN, Moscow, Russia
Geometry of Conics
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
Geometry of Conics
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Geometry of Conics
A. A. Zaslavsky CEMI RAN, Moscow, Russia
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
  • Book Details
     
     
    Mathematical World
    Volume: 262007; 134 pp
    MSC: 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.

    Readership

    Undergraduate and graduate students interested in geometry.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Reviews
     
     
    • The book is well written and contains a lot of figures illustrating the theorems and their proofs.

      MAA Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 262007; 134 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.