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Essentials of Integration Theory for Analysis | 2:a upplagan
- Danskt band, Engelska, 2020
- Författare: Daniel W. Stroock
- Betyg:
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Beskrivning
When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows: §2.2.5 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on ℝN are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material.
Om denna bok
Essentials of Integration Theory for Analysis av Daniel W. Stroock är en Danskt band bok med 285 sidor på Engelska. Detta är den 2:a upplagan som utgavs 2020 av Springer Nature.
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Produktinformation
Kategori:
Matematik & statistik
Bandtyp:
Danskt band
Språk:
Engelska
ISBN:
9783030584771
Upplaga:
2
Utgiven:
2020-11-24
Förlag:
Springer Nature
Sidantal:
285