EXPEDITION TO GEOMETRY, TRIM 30
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Book Details
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Author: S. Kumaresan
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Brand: Hindustan Book Agency
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Binding: Paperback
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Number of Pages: 242
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Release Date: 30-12-2011
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ISBN: 9789380250113
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Languages: English
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Package Dimensions: 8.5 x 5.4 x 0.6 inches
About The Book
This book provides a comprehensive, holistic view of geometry, blending axiomatic, algebraic, analytic, and differential approaches. It starts with an informal introduction to non-Euclidean geometries, eventually developing the theory in a rigorous manner.
The book expands on the Kleinian view of geometry as described by the Erlangen Programme, though it goes beyond this framework. It covers a range of important topics, including:
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Results about triangles in Euclidean, hyperbolic, and spherical planes
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Affine and projective classification of conics
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Two-point homogeneity of the three planes
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Distance-preserving (isometric) and length-preserving maps of these planes
Emphasizing geometric intuition, the book includes several figures to aid understanding. It also provides a variety of exercises ranging from computational problems to open-ended investigative questions, making it a suitable resource for students and enthusiasts seeking a deeper understanding of geometry.
