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Measures Integrals And Martingales Second Edition 2nd Edition Ren L Schilling

  • SKU: BELL-23395660
Measures Integrals And Martingales Second Edition 2nd Edition Ren L Schilling
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Measures Integrals And Martingales Second Edition 2nd Edition Ren L Schilling instant download after payment.

Publisher: Cambridge University Press [CUP]
File Extension: PDF
File size: 3.59 MB
Pages: 498
Author: René L. Schilling
ISBN: 9781316620243, 1316620247, B06XTTLL1F
Language: English
Year: 2017
Edition: 2

Product desciption

Measures Integrals And Martingales Second Edition 2nd Edition Ren L Schilling by René L. Schilling 9781316620243, 1316620247, B06XTTLL1F instant download after payment.

Main subject categories: • Measure Theory • Integration Theory • Probability • Analysis

A concise yet elementary introduction to measure and integration theory, which are vital in many areas of mathematics, including analysis, probability, mathematical physics and finance. In this highly successful textbook, core ideas of measure and integration are explored, and martingales are used to develop the theory further. Other topics are also covered such as Jacobi's transformation theorem, the Radon–Nikodym theorem, differentiation of measures and Hardy–Littlewood maximal functions.

In this second edition, readers will find newly added chapters on Hausdorff measures, Fourier analysis, vague convergence and classical proofs of Radon–Nikodym and Riesz representation theorems. All proofs are carefully worked out to ensure full understanding of the material and its background.

Requiring few prerequisites, this book is suitable for undergraduate lecture courses or self-study. Numerous illustrations and over 400 exercises help to consolidate and broaden knowledge. Full solutions to all exercises are available on the author's webpage at www.motapa.de. This book forms a sister volume to René Schilling's other book Counterexamples in Measure and Integration (www.cambridge.org/9781009001625).

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