Classical geometries in modern contexts : geometry of real inner product spaces
Author(s)
Bibliographic Information
Classical geometries in modern contexts : geometry of real inner product spaces
Birkhäuser, c2007
2nd ed.
Available at / 10 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
BEN||10||2(2)200002536278
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. Designed as a two term graduate course, the book helps students to understand great ideas of classical geometries in a modern and general context. A real benefit is the dimension-free approach to important geometrical theories. The only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry.
Table of Contents
Preface.- Translation Groups.- Euclidean and Hyperbolic Geometry.- Sphere Geometries of Mobius and Lie.- Lorentz Transformations.- Bibliography.- Notation and Symbols.- Index.
by "Nielsen BookData"