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Expedition to Geometry
Expedition to Geometry
★★★★★
★★★★★
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A01=G. Santhanam
A01=S. Kumaresan
Age Group_Uncategorized
Age Group_Uncategorized
Author_G. Santhanam
Author_S. Kumaresan
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Category1=Non-Fiction
Category=PBM
COP=India
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Language_English
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Price_€20 to €50
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Product details
- ISBN 9789380250113
- Weight: 320g
- Dimensions: 152 x 229mm
- Publication Date: 30 Dec 2011
- Publisher: Hindustan Book Agency
- Publication City/Country: IN
- Product Form: Paperback
- Language: English
Delivery/Collection within 10-20 working days
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This book, taking a holistic view of geometry, introduces the reader to axiomatic, algebraic, analytic and differential geometry.
Starting with an informal introduction to non-Euclidean plane geometries, the book develops the theory to put them on a rigorous footing. It may be considered as an explication of the Kleinian view of geometry a la Erlangen Programme. The treatment in the book, however, goes beyond the Kleinian view of geometry.
Some noteworthy topics presented include:
Starting with an informal introduction to non-Euclidean plane geometries, the book develops the theory to put them on a rigorous footing. It may be considered as an explication of the Kleinian view of geometry a la Erlangen Programme. The treatment in the book, 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.
Qty: