Modern Projective Geometry

Name: Modern Projective Geometry
Brand: Springer Netherlands
SKU: 9780792365259
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Autor: Claude-Alain Faure, Alfred Frölicher

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Editura: Springer Netherlands

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This monograph develops projective geometries and provides a systematic treatment of morphisms. It i...

Informații despre carte

Autor

Claude-Alain Faure, Alfred Frölicher

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2000

Pagini

363

EAN

9780792365259

ISBN

0792365259

Enbook ID

01396519

Editura

Springer Netherlands

Greutate

721

Dimensiuni

160 x 240 x 22

Descriere completă

This monograph develops projective geometries and provides a systematic treatment of morphisms. It is unique in that it does not confine itself to isomorphisms. This work introduces a new fundamental theorem and its applications describing morphisms of projective geometries in homogeneous coordinates by semilinear maps. Other topics treated include three equivalent definitions of projective geometries and their correspondence with certain lattices; quotients of projective geometries and isomorphism theorems; recent results in dimension theory; morphisms and homomorphisms of projective geometries; special morphisms; duality theory; morphisms of affine geometries; polarities; orthogonalities; Hilbertian geometries and propositional systems. The book concludes with a large section of exercises. Audience: This volume will be of interest to mathematicians and researchers whose work involves projective geometries and their morphisms, semilinear maps and sesquilinear forms, lattices, category theory, and quantum mechanics. This book can also be recommended as a text in axiomatic geometry.

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