A guide to advanced real analysis / Gerald B. Folland.

By:

Folland, G. B [author.]

Material type: Text

TextSeries: Dolciani mathematical expositions ; no. 37. | MAA guides ; no. 2.Publication details: [Washington, D.C.] : Mathematical Association of America, ©2009.Description: 1 online resource (x, 107 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780883859155
0883859157

Other title:

Advanced real analysis

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Guide to advanced real analysis.DDC classification:

515.8 22

LOC classification:

QA300 .F65 2009

Online resources:

Click here to access online

Contents:

Prologue: notation, terminology, and set theory -- Topology -- Measure and integration: general theory -- Measure and integration: constructions and special examples -- Rudiments of functional analysis -- Function spaces -- Topics in analysis on Euclidean Space.

Summary: A Guide to Advanced Real Analysis is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form.

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Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 101-102) and index.

Print version record.

A Guide to Advanced Real Analysis is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form.

English.

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