Books : Introduction to Classical Geometries

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Author name: Ana Irene Ramírez Galarza, José Seade

 : Introduction to Classical Geometries
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Type of bind: Paperback
Dewey Decimal Number: 516.02
EAN num: 9783764375171
ISBN number: 3764375175
Label: Birkhäuser Basel
Manufacturer: Birkhäuser Basel
Quantity: 1
Page Count: 219
Printing Date: April 19, 2007
Publishing house: Birkhäuser Basel
Sale Popularity Level: 282109
Studio: Birkhäuser Basel




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This book follows Klein’s proposal of studying geometry by looking at the symmetries (or rigid motions) of the space in question. In this way the classical geometries are studied: Euclidean, affine, elliptic, projective and hyperbolic. For simplicity the focus is on the two-dimensional case, which is already rich enough, though some aspects of the 3 or $n$-dimensional geometries are included. Once plane geometry is well understood, it is much easier to go into higher dimensions.



The book appeals to, and develops, the geometric intuition of the reader. Some basic notions of algebra and analysis are also used to get better understandings of various concepts and results.









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