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The language of linear algebra in operator algebras, representation theory, harmonic analysis, geometry, algebra, algebraic geometry
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Classroom Contents
Geometry with Linear Algebra - Wild Linear Algebra A - NJ Wildberger
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- 1 Introduction
- 2 Linear algebra: the greatest 20th century contribution to pure mathematics
- 3 The language of linear algebra in operator algebras, representation theory, harmonic analysis, geometry, algebra, algebraic geometry
- 4 Problems with foundations of Euclidean geometry
- 5 Basic affine geometry
- 6 Euclidean geometry = affine geometry + "metrical structure"
- 7 Back to Pythagoras!! via Euclid
- 8 Perpendicularity
