Articles liés à An Introduction to Abstract Analysis
Synopsis
Abstract analysis, and particularly the language of normed linear spaces, now lies at the heart of a major portion of modern mathematics. Unfortunately, it is also a subject which students seem to find quite challenging and difficult. This book presumes that the student has had a first course in mathematical analysis or advanced calculus, but it does not presume the student has achieved mastery of such a course. Accordingly, a gentle introduction to the basic notions of convergence of sequences, continuity of functions, open and closed set, compactness, completeness and separability is given.
The pace in the early chapters does not presume in any way that the readers have at their fingertips the techniques provided by an introductory course. Instead, considerable care is taken to introduce and use the basic methods of proof in a slow and explicit fashion. As the chapters progress, the pace does quicken and later chapters on differentiation, linear mappings, integration and the implicit function theorem delve quite deeply into interesting mathematical areas.
There are many exercises and many examples of applications of the theory to diverse areas of mathematics. Some of these applications take considerable space and time to develop, and make interesting reading in their own right.
The treatment of the subject is deliberately not a comprehensive one. The aim is to convince the undergraduate reader that analysis is a stimulating, useful, powerful and comprehensible tool in modern mathematics. This book will whet the readers' appetite, not overwhelm them with material.
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W. Light
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Introduction to Abstract Analysis (Chapman Hall/CRC Mathematics Series)
Edité par
Chapman & Hall, 1990
ISBN 10 : 0412310902
ISBN 13 : 9780412310904
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Etat : Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. N° de réf. du vendeur Z1-E-014-02401
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An Introduction to Abstract Analysis: 3 (Chapman Hall/CRC Mathematics Series)
Edité par
Chapman & Hall, 1990
ISBN 10 : 0412310902
ISBN 13 : 9780412310904
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Paperback
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Paperback. Etat : Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. N° de réf. du vendeur GOR002051328
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An Introduction to Abstract Analysis: 3 (Chapman Hall/CRC Mathematics Series)
Edité par
Chapman & Hall, 1990
ISBN 10 : 0412310902
ISBN 13 : 9780412310904
Ancien ou d'occasion
Couverture souple
Vendeur : Anybook.com, Lincoln, Royaume-Uni
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Etat : Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9780412310904. N° de réf. du vendeur 5832849
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Introduction to Abstract Analysis (Chapman Hall/CRC Mathematics Series)
Edité par
Chapman & Hall, 1990
ISBN 10 : 0412310902
ISBN 13 : 9780412310904
Ancien ou d'occasion
Soft cover
Edition originale
Vendeur : Reader's Corner, Inc., Raleigh, NC, Etats-Unis
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Soft cover. Etat : As New. 1st Edition. This is a fine, as new, 194 page first edition paperback copy, pale blue spine. N° de réf. du vendeur 104701
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Introduction to Abstract Analysis (Chapman Hall/CRC Mathematics Series)
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Paperback. Etat : New. In shrink wrap. Looks like an interesting title! N° de réf. du vendeur Q-0412310902
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