Fourier Series
The Fourier series expansion was introduced briefly in Chapter 1, where the…
Pointwise Convergence And Uniform Convergence
The previous section informed us that sequences can converge in different ways,…
Sequences and Series
Introduction Sequences and series have a major role to play in computational…
Number Representations
Introduction In this chapter we consider how numbers are represented on a…
The Discrete Fourier Series (Dfs)
The subject of discrete Fourier series (DFS) and its relationship to the…
Inner Products and Inner Product Spaces
The concept of an inner product is necessary before one can talk…
Norms and Normed Spaces
So far our examples of function spaces have been metric spaces (Section…
Some Special Mappings: Metrics, Norms, And Inner Products
Sets of objects (vectors, sequences, polynomials, functions, etc.) often have certain special…


