Essentials of Integration Theory for Analysis

Um unseren Shop nutzen zu können, müssen Sie Javascript in Ihrem Browser aktivieren.

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

61,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Sie können kein Produkt in den Warenkorb legen, da Javascript und technisch notwendige Cookies aktiviert sein müssen.

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

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 ¿N 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.

Über den Autor

Daniel W. Stroock is Emeritus professor of mathematics at MIT. He is a respected mathematician in the areas of analysis, probability theory and stochastic processes. Prof. Stroock has had an active career in both the research and education. From 2002 until 2006, he was the first holder of the second Simons Professorship of Mathematics. In addition, he has held several administrative posts, some within the university and others outside. In 1996, the AMS awarded him together with his former colleague jointly S.R.S. Varadhan the Leroy P. Steele Prize for seminal contributions to research in stochastic processes. Finally, he is a member of both the American Academy of Arts and Sciences, the National Academy of Sciences and a foreign member of the Polish Academy of Arts and Sciences.

Zusammenfassung

Solutions manual is available to instructors who adopt the textbook for their course

Second edition revised with new topics, some reworked text, new exercises

Suitable for a one-semester graduate course in integration theory as well as for independent study

Includes supplementary material: [...]

Request lecturer material: [...]

Inhaltsverzeichnis

Preface.- Notation.- 1. The Classical Theory.-2. Measures. -3. Lebesgue Integration.-4. Products of Measures.-5. Changes of Variable.-6. Basic Inequalities and Lebesgue Spaces.-7. Hilbert Space and Elements of Fourier Analysis.-8. Radon-Nikodym, Hahn, Daniell Integration, and Carathéodory- Index.

Details

Erscheinungsjahr:	2020
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	304
Reihe:	Graduate Texts in Mathematics
Inhalt:	xvi 285 S. 1 s/w Illustr. 285 p. 1 illus.
ISBN-13:	9783030584771
ISBN-10:	3030584771
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Stroock, Daniel W.
Auflage:	2nd ed. 2020
Hersteller:	Springer International Publishing Graduate Texts in Mathematics
Maße:	241 x 160 x 21 mm
Von/Mit:	Daniel W. Stroock
Erscheinungsdatum:	24.11.2020
Gewicht:	0,678 kg

preigu-id: 118814000