William P. Ziemer: Modern Real Analysis

Cover: 9783319878409 | Modern Real Analysis | William P. Ziemer | Taschenbuch | Paperback

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

64,45 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

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

This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem, Schwartz distributions, the area formula, Sobolev functions and applications to harmonic functions. Together, the selection of topics forms a sound foundation in real analysis that is particularly suited to students going on to further study in partial differential equations.
This second edition of Modern Real Analysis contains many substantial improvements, including the addition of problems for practicing techniques, and an entirely new section devoted to the relationship between Lebesgue and improper integrals. Aimed at graduate students with an understanding of advanced calculus, the text will also appeal to more experienced mathematicians as a useful reference.

Über den Autor

William P. Ziemer
is Professor Emeritus of Mathematics at Indiana University, and is the author of the highly influential GTM (vol. 120),
Weakly Differentiable Functions
.

Monica Torres
is Associate Professor of Mathematics at Purdue University, specializing in geometric measure theory and partial differential equations.

Zusammenfassung

Provides a foundation for further study in partial differential equations

Completely self-contained text equips readers with the fundamentals of graduate real analysis

New edition extensively revised and updated

Supplies frequent opportunities to practice techniques

Inhaltsverzeichnis

Preface.- 1. Preliminaries.- 2. Real, Cardinal and Ordinal Numbers.- 3. Elements of Topology.- 4. Measure Theory.- 5. Measurable Functions.- 6. Integration.- 7. Differentiation.- 8. Elements of Functional Analysis.- 9. Measures and Linear Functionals.- 10. Distributions.- 11. Functions of Several Variables.- Bibliography.- Index.

Details

Erscheinungsjahr:	2018
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xi 382 S.
ISBN-13:	9783319878409
ISBN-10:	3319878409
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Ziemer, William P.
Auflage:	Softcover reprint of the original 2nd ed. 2017
Hersteller:	Springer International Publishing Springer International Publishing AG Graduate Texts in Mathematics
Maße:	235 x 155 x 22 mm
Von/Mit:	William P. Ziemer
Erscheinungsdatum:	31.08.2018
Gewicht:	0,598 kg

Artikel-ID: 115379096