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Real Analysis

by

Real Analysis Cover

 

Synopses & Reviews

Publisher Comments:

This book is a text for a first course in abstract analysis. Although this topic is traditionally treated in first-year graduate courses, the present volume is so clear and accessible, it is suitable for undergraduates with a good background in the calculus of functions of one and several variables.

In outline, the course consists of a study of the familiar concepts of calculus such as convergence, continuity, differentiation, and integration in a more general and abstract setting. This serves to reinforce and deepen the reader's understanding of the basic concepts of analysis and, at the same time, to provide a familiarity with the abstract approach to analysis which is valuable in many areas of applied mathematics and essential to the study of advanced analysis.

After introductory chapters on sets and relations, the real number system and linear spaces, the book offers easily followed discussions of normed spaces, normed linear spaces, inner product spaces, and a complete development of the Lebesgue integral, as well as important topics involving approximation theory, the Banach fixed-point theorem, and its applications and Stieltjes integrals.

Thorough, well-conceived, and well-written, Real Analysis is abundantly furnished with problem material—each chapter includes a carefully chosen selection of stimulating problems.

Synopsis:

Clear, accessible text for 1st course in abstract analysis. Explores sets and relations, real number system and linear spaces, normed spaces, Lebesgue integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Includes numerous problems.

Synopsis:

Clear, accessible text for first course in abstract analysis. Normed spaces, Lebesgue integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Numerous problems. Bibliography.

Synopsis:

Clear, accessible text for 1st course in abstract analysis. Explores sets and relations, real number system and linear spaces, normed spaces, Lebesgue integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Includes numerous problems.

Description:

Includes bibliographical references (p. 333-334) and indexes.

Product Details

ISBN:
9780486665092
Other:
Haaser, Norman B.
Publisher:
Dover Publications
Author:
Mathematics
Author:
Haaser
Author:
Sullivan, George David Ed. David Ed.
Author:
Haaser, Norman B.
Author:
Sullivan, David
Author:
Sullivan, George
Author:
Sullivan, Christine
Author:
Sullivan, George David Ed. David Ed.
Author:
Sullivan, Joseph A.
Location:
New York :
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Functions of real variables
Subject:
General Mathematics
Subject:
Functional Analysis
Subject:
Mathematics-Calculus
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
17
Publication Date:
19910131
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
352
Dimensions:
8.5 x 5.38 in 0.83 lb

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Related Subjects

Reference » Science Reference » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Real Analysis

Real Analysis New Trade Paper
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Product details 352 pages Dover Publications - English 9780486665092 Reviews:
"Synopsis" by ,
Clear, accessible text for 1st course in abstract analysis. Explores sets and relations, real number system and linear spaces, normed spaces, Lebesgue integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Includes numerous problems.
"Synopsis" by , Clear, accessible text for first course in abstract analysis. Normed spaces, Lebesgue integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Numerous problems. Bibliography.

"Synopsis" by ,
Clear, accessible text for 1st course in abstract analysis. Explores sets and relations, real number system and linear spaces, normed spaces, Lebesgue integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Includes numerous problems.
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