New Foundations in Mathematics The Geometric Concept of Number

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

Subject:

Mathematics
Algebra
Group theory
Matrix theory
Topological Groups
Mathematical physics
Engineering mathematics
Mathematics
Linear and Multilinear Algebras, Matrix Theory
Topological Groups, Lie Groups
Group Theory and Generalizations
Mathematical Methods in Physics
Appl.Mathematics/Computational Methods of Engineering
Algebra

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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. .

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