Linear Algebra and Projective Geometry

 
9780120722501: Linear Algebra and Projective Geometry

Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. These focus on the representation of projective geometries by linear manifolds, of projectivities by semilinear transformations, of collineations by linear transformations, and of dualities by semilinear forms. These theorems lead to a reconstruction of the geometry that constituted the discussion's starting point, within algebraic structures such as the endomorphism ring of the underlying manifold or the full linear group.
Restricted to topics of an algebraic nature, the text shows how far purely algebraic methods may extend. It assumes only a familiarity with the basic concepts and terms of algebra. The methods of transfinite set theory frequently recur, and for readers unfamiliar with this theory, the concepts and principles appear in a special appendix.

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Reinhold Baer
Published by Academic Press (1952)
ISBN 10: 012072250X ISBN 13: 9780120722501
New Hardcover First Edition Quantity Available: 1
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(Rumford, ME, U.S.A.)
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Book Description Academic Press, 1952. Hardcover. Book Condition: New. book. Bookseller Inventory # M012072250X

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