Items related to Real Analysis (Dover Books on Mathema 1.4tics)
Synopsis
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.
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" may belong to another edition of this title.
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Real Analysis (Dover Books on Mathematics)
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Real Analysis (Dover Books on Mathematics)
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Real Analysis
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Real Analysis
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Real Analysis
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Real Analysis
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Paperback. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0486665097I3N00
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Real Analysis (Dover Books on Mathematics)
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Paperback. Condition: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_478715413
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REAL ANALYSIS : (Unabridged, Corrected Dover Books on Advanced Mathematics)
Published by
Dover Publications, New York, NY, 1991
ISBN 10: 0486665097
ISBN 13: 9780486665092
Used
Soft cover
First Edition
Seller: 100POCKETS, Berkeley, CA, U.S.A.
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Soft cover. Condition: Near Fine. First Edition. First Thus. Text/BRAND NEW & Bright. Softcover/NF w/a whisper of edge wear. Textbook. Basic course to abstract analysis design, providing a smooth transition from calculus. First published 1971 --- this is the 1991 Dover revised & corrected edition. 341 pgs, 11 chapters: 1, Sets & Relations; 2, The Real Number System; 3, Linear Spaces; 4, Metric Spaces; 5, A Fixed-Point Theorem; Applications; 6, The Lebesgue Integral; 7, Normed Linear Spaces; 8, Approximation; 9, The Fundamental Theorems of Calculus; 10, The Stieltjes Integrals; and 11, Inner Product Spaces, followed by Index. Seller Inventory # 018364
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Real Analysis (Dover Books on Mathematics)
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Condition: good. Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present. Seller Inventory # M00486665097-G
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Real Analysis (Dover Books on Mathematics)
Seller: BennettBooksLtd, Los Angeles, CA, U.S.A.
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paperback. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-0486665097