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Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces [Hardcover]

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Item description for Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces by Walter Benz...

This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries of Mbius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. The geometrical notions of this book are based on general spaces X as described. This implies that also mathematicians who have not so far been especially interested in geometry may study and understand great ideas of classical geometries in modern and general contexts.

Proofs of newer theorems, characterizing isometries and Lorentz transformations under mild hypotheses are included, like for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. Only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry.





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Item Specifications...


Pages   277
Est. Packaging Dimensions:   Length: 9.1" Width: 6.4" Height: 0.8"
Weight:   1.45 lbs.
Binding  Hardcover
Release Date   Dec 10, 2007
Publisher   Birkhäuser Basel
ISBN  3764385405  
ISBN13  9783764385408  


Availability  0 units.


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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Special Features > New & Used Textbooks > Sciences > Physics
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
4Books > Subjects > Professional & Technical > Professional Science > Physics > General
5Books > Subjects > Professional & Technical > Professional Science > Physics > Mathematical Physics
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > Applied > General
8Books > Subjects > Science > Mathematics > General
9Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
10Books > Subjects > Science > Physics > General
11Books > Subjects > Science > Physics > Mathematical Physics



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