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An Expedition to Geometry
 
S. Kumaresan University of Mumbai, Mumbai, India
G. Santhanam Indian Institute of Technology, Kanpur, India
A publication of Hindustan Book Agency
An Expedition to Geometry
Hardcover ISBN:  978-81-85931-50-0
Product Code:  HIN/21
List Price: $49.00
AMS Member Price: $39.20
Please note AMS points can not be used for this product
An Expedition to Geometry
Click above image for expanded view
An Expedition to Geometry
S. Kumaresan University of Mumbai, Mumbai, India
G. Santhanam Indian Institute of Technology, Kanpur, India
A publication of Hindustan Book Agency
Hardcover ISBN:  978-81-85931-50-0
Product Code:  HIN/21
List Price: $49.00
AMS Member Price: $39.20
Please note AMS points can not be used for this product
  • Book Details
     
     
    Hindustan Book Agency
    Volume: 212005; 242 pp
    MSC: Primary 51; 53;

    This book uses a holistic view of geometry to introduce axiomatic, algebraic, analytic, and differential geometry.

    Starting with an informal introduction to non-Euclidean plane geometries, the book develops the theory of these geometries to put them on a rigorous footing. It can be considered an explanation of the Kleinian view a la Erlangen Programme. The treatment, however, goes beyond the Kleinian view of geometry.

    Some noteworthy topics presented include ...

    • various results about triangles (including results on areas of geodesic triangles) in Euclidean, hyperbolic, and spherical planes
    • affine and projective classification of conics
    • twopoint homogeneity of the three planes and
    • the fact that the set of distance preserving maps (isometries) are essentially the same as the set of lengths preserving maps of these planes.

    Geometric intuition is emphasized throughout the book. Figures are included wherever needed. The book has several exercises varying from computational problems to investigative or explorative open questions.

    A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

    Readership

    Graduate students and research mathematicians interested in geometry and topology.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 212005; 242 pp
MSC: Primary 51; 53;

This book uses a holistic view of geometry to introduce axiomatic, algebraic, analytic, and differential geometry.

Starting with an informal introduction to non-Euclidean plane geometries, the book develops the theory of these geometries to put them on a rigorous footing. It can be considered an explanation of the Kleinian view a la Erlangen Programme. The treatment, however, goes beyond the Kleinian view of geometry.

Some noteworthy topics presented include ...

  • various results about triangles (including results on areas of geodesic triangles) in Euclidean, hyperbolic, and spherical planes
  • affine and projective classification of conics
  • twopoint homogeneity of the three planes and
  • the fact that the set of distance preserving maps (isometries) are essentially the same as the set of lengths preserving maps of these planes.

Geometric intuition is emphasized throughout the book. Figures are included wherever needed. The book has several exercises varying from computational problems to investigative or explorative open questions.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students and research mathematicians interested in geometry and topology.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.