9781584880738-1584880732-Real Analysis: An Introduction to the Theory of Real Functions and Integration

Real Analysis: An Introduction to the Theory of Real Functions and Integration

ISBN-13: 9781584880738
ISBN-10: 1584880732
Edition: 1
Author: Dshalalow, Jewgeni H.
Publication date: 2000
Publisher: Chapman and Hall/CRC
Format: Hardcover 584 pages
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Book details

ISBN-13: 9781584880738
ISBN-10: 1584880732
Edition: 1
Author: Dshalalow, Jewgeni H.
Publication date: 2000
Publisher: Chapman and Hall/CRC
Format: Hardcover 584 pages

Summary

Acknowledged authors Dshalalow, Jewgeni H. wrote Real Analysis: An Introduction to the Theory of Real Functions and Integration comprising 584 pages back in 2000. Textbook and eTextbook are published under ISBN 1584880732 and 9781584880738. Since then Real Analysis: An Introduction to the Theory of Real Functions and Integration textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

Designed for use in a two-semester course on abstract analysis, REAL ANALYSIS: An Introduction to the Theory of Real Functions and Integration illuminates the principle topics that constitute real analysis. Self-contained, with coverage of topology, measure theory, and integration, it offers a thorough elaboration of major theorems, notions, and constructions needed not only by mathematics students but also by students of statistics and probability, operations research, physics, and engineering.

Structured logically and flexibly through the author's many years of teaching experience, the material is presented in three main sections:

Part 1, chapters 1through 3, covers the preliminaries of set theory and the fundamentals of metric spaces and topology. This section can also serves as a text for first courses in topology.

Part II, chapter 4 through 7, details the basics of measure and integration and stands independently for use in a separate measure theory course.

Part III addresses more advanced topics, including elaborated and abstract versions of measure and integration along with their applications to functional analysis, probability theory, and conventional analysis on the real line.

Analysis lies at the core of all mathematical disciplines, and as such, students need and deserve a careful, rigorous presentation of the material. REAL ANALYSIS: An Introduction to the Theory of Real Functions and Integration offers the perfect vehicle for building the foundation students need for more advanced studies.

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