Articles liés à Real and Functional Analysis: Third Edition
Synopsis
This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal- ysis. I assume that the reader is acquainted with notions of uniform con- vergence and the like. In this third edition, I have reorganized the book by covering inte- gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga- tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results.
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Présentation de l'éditeur
This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Real and Functional Analysis (Graduate Texts in Mathematics): v. 142
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Springer, 1993
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ISBN 13 : 9780387940014
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REAL AND FUNCTIONAL ANALYSIS
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Real and Functional Analysis
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Real and Functional Analysis
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Real and Functional Analysis (Graduate Texts in Mathematics, 142)
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Real and Functional Analysis
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Real and Functional Analysis
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Springer New York Apr 1993, 1993
ISBN 10 : 0387940014
ISBN 13 : 9780387940014
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters. 600 pp. Englisch. N° de réf. du vendeur 9780387940014
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Real and Functional Analysis
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Real and Functional Analysis
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Springer New York, 1993
ISBN 10 : 0387940014
ISBN 13 : 9780387940014
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Etat : New. This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organ. N° de réf. du vendeur 5911864
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Real and Functional Analysis
Edité par
Springer New York, Springer US Apr 1993, 1993
ISBN 10 : 0387940014
ISBN 13 : 9780387940014
Neuf
Couverture rigide
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Buch. Etat : Neu. Neuware -This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal ysis. I assume that the reader is acquainted with notions of uniform con vergence and the like. In this third edition, I have reorganized the book by covering inte gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 600 pp. Englisch. N° de réf. du vendeur 9780387940014
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