Measures, Integrals and Martingales ebook Schilling,Ren © L., Genovese,Eugene D. Diesel eBooks

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Home > Education > Mathematics > Measures, Integrals and Martingales-eBook

Measures, Integrals and Martingales

Schilling,Ren © L., Genovese,Eugene D.

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Measures, Integrals and Martingales

This is a concise and elementary introduction to measure and integration theory as it is nowadays needed in many parts of analysis and probability theory. The basic theory - measures, integrals, convergence theorems, Lp-spaces and multiple integrals - is explored in the first part of the book. The second part then uses the notion of martingales to develop the theory further, covering topics such as Jacobi's generalized transformation Theorem, the Radon-Nikodym theorem, differentiation of measures, Hardy-Littlewood maximal functions or general Fourier series. Undergraduate calculus and an introductory course on rigorous analysis are the only essential prerequisites, making this text suitable for both lecture courses and for self-study. Numerous illustrations and exercises are included and these are not merely drill problems but are there to consolidate what has already been learnt and to discover variants, sideways and extensions to the main material. Hints and solutions can be found on the authors website, which can be reached from /9780521615259.

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Title of ebook: Measures, Integrals and Martingales
ISBN: 9780511343339
Publisher: Cambridge University Press
Internet download file size: 2753 kb
Pages: 394
Released online for download: 11-10-2005
Author of eBook: Schilling,Ren © L.
Author of eBook: Genovese,Eugene D.