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Vector Spaces


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Continuous Functions


Equations are omitted for technical reasons - download the original pdf

The set of continuous functions of the interval [Equation goes here - download the original to see it.] is also a vector space, with addition defined by [Equation goes here - download the original to see it.] and scalar multiplication defined by [Equation goes here - download the original to see it.]
Contents of
Vector Spaces

1 Vector Spaces
2 Linear polynomials
3 Complex numbers
4 Quadratic polynomials
5 Continuous Functions
6 Infinite sequences
7 Vector space axioms
8 Properties of vector spaces
9 Subspaces of vector spaces
10 Basis and dimension
11 Span
12 Theorem (Vector spaces)
13 Vectors, dimension and bases

Related articles: (1) Algebra of complex numbers, (2) Vector Spaces