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Measure, Integral and Probability (Paperback, Softcover reprint of the original 2nd ed. 2004)
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Measure, Integral and Probability (Paperback, Softcover reprint of the original 2nd ed. 2004)
Series: Springer Undergraduate Mathematics Series
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Measure, Integral and Probability is a gentle introduction that
makes measure and integration theory accessible to the average
third-year undergraduate student. The ideas are developed at an
easy pace in a form that is suitable for self-study, with an
emphasis on clear explanations and concrete examples rather than
abstract theory. For this second edition, the text has been
thoroughly revised and expanded. New features include: * a
substantial new chapter, featuring a constructive proof of the
Radon-Nikodym theorem, an analysis of the structure of
Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a
brief introduction to martingales * key aspects of financial
modelling, including the Black-Scholes formula, discussed briefly
from a measure-theoretical perspective to help the reader
understand the underlying mathematical framework. In addition,
further exercises and examples are provided to encourage the reader
to become directly involved with the material.
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