By Rüdiger U. Seydel
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This ebook offers a scientific improvement of the Rubio de Francia idea of extrapolation, its many generalizations and its purposes to at least one and two-weight norm inequalities. The ebook relies upon a brand new and effortless evidence of the classical extrapolation theorem that absolutely develops the facility of the Rubio de Francia generation set of rules.
‘A Concise creation to the idea of Integration’ used to be a best-selling Birkhäuser name which released three variations. This manuscript is a considerable revision of the fabric. bankruptcy one now contains a part concerning the fee of convergence of Riemann sums. the second one bankruptcy now covers either Lebesgue and Bernoulli measures, whose relation to each other is mentioned.
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This publication bargains an entire and streamlined therapy of the imperative ideas of abelian harmonic research: Pontryagin duality, the Plancherel theorem and the Poisson summation formulation, in addition to their respective generalizations to non-abelian teams, together with the Selberg hint formulation. the rules are then utilized to spectral research of Heisenberg manifolds and Riemann surfaces.
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Tools for Computational Finance (Universitext) by Rüdiger U. Seydel