E-book

New Foundations in Mathematics [electronic resource] : The Geometric Concept of Number / by Garret Sobczyk.

Record details

ISBN: 9780817683856
Physical Description: XIV, 370 p. 55 illus., 32 illus. in color. online resource.
Publisher: Boston : Birkhäuser Boston : 2013.

Subject:

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Table of Contents

	1 Modular Number Systems
	2 Complex and Hyperbolic Numbers
	3 Geometric Algebra
	4 Vector Spaces and Matrices
	5 Outer Product and Determinants
	6 Systems of Linear Equations
	7 Linear Transformations on R n
	8 Structure of a Linear Operator
	9 Linear and Bilinear Forms
	10 Hermitian Inner Product Spaces
	11 Geometry of Moving Planes
	12 Representations of the Symmetric Group
	13 Calculus on m-Surfaces
	14 Differential Geometry of Curves
	15 Differential Geometry of k-Surfaces
	16 Mappings Between Surfaces
	17 Non-Euclidean and Projective Geometries
	18 Lie Groups and Lie Algebras
	References
	Symbols