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Period: to
Axiomatisation of Linear Algebra
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Peano introduced n-tuples as vectors
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Peano: Axiomatic approach for vectors in geometry
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Peano: Geometry defined by vectors
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Hamel basis over the reals
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Hilbert first mentioned Hilbert spaces
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Weyl on axioms for finite vector spaces
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Banarch: Normed vector space
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Wiener: Normed vector spaces
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Hahn: Normed vector space
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Fréchet response to Banarch spaces
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Von Neumann on Hilbert spaces
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Banarch on linear functionals
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A Survey of Modern Algebra (Birkhoff & Mac Lane)
A first general axiomatized description of linear algebra