Measures, Integrals and Martingales
Rene Schilling
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Description for Measures, Integrals and Martingales
Paperback. A concise, elementary introduction to measure and integration theory, requiring few prerequisites as theory is developed quickly and simply. Num Pages: 512 pages, 40 b/w illus. 420 exercises. BIC Classification: PBT; PBWL. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 247 x 174. .
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 ... Read more
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 ... Read more
Product Details
Publisher
Cambridge University Press
Format
Paperback
Publication date
2017
Condition
New
Weight
28g
Number of Pages
490
Place of Publication
Cambridge, United Kingdom
ISBN
9781316620243
SKU
V9781316620243
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-4
About Rene Schilling
Rene L. Schilling is a Professor of Mathematics at Technische Universitat, Dresden. His main research area is stochastic analysis and stochastic processes.
Reviews for Measures, Integrals and Martingales
Review of previous edition: '... thorough introduction to a wide variety of first-year graduate-level topics in analysis ... accessible to anyone with a strong undergraduate background in calculus, linear algebra and real analysis.' Zentralblatt MATH Review of previous edition: 'The author truly covers a wide range of topics ... Proofs are written in a very organized and detailed manner ... ... Read more