ENGLISH

Measure Integral and Probability

By Marek Capinski , Peter Ekkehard Kopp

Book information

Publisher
Springer
Year
2004
ISBN
9781852337810, 9781447106456
Language
english
Format
PDF
Filesize
74 MB (77171143 bytes)
Series
Springer Undergraduate Mathematics Series
Edition
2
Pages
311\327
Library
duxiu
Time added
2025-04-20 23:44:17

Description

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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