Posted inNumerical method
Fourier Series
The Fourier series expansion was introduced briefly in Chapter 1, where the behaviour of this…
Posted inNumerical method
Pointwise Convergence And Uniform Convergence
The previous section informed us that sequences can converge in different ways, assuming that they…
Posted inNumerical method
Sequences and Series
Introduction Sequences and series have a major role to play in computational methods. In this…
Posted inNumerical method
Number Representations
Introduction In this chapter we consider how numbers are represented on a computer largely with…
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The Discrete Fourier Series (Dfs)
The subject of discrete Fourier series (DFS) and its relationship to the complex Fourier series…
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Inner Products and Inner Product Spaces
The concept of an inner product is necessary before one can talk about orthogonal bases…
Posted inNumerical method
Norms and Normed Spaces
So far our examples of function spaces have been metric spaces (Section 1.3.1). Such spaces…
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Some Special Mappings: Metrics, Norms, And Inner Products
Sets of objects (vectors, sequences, polynomials, functions, etc.) often have certain special mappings defined on…
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Functional Analysis Ideas
Introduction Many engineering analysis and design problems are far too complex to be solved without…