Articles liés à Real Analysis
Synopsis
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.
The first half of the book develops both Lebesgue measure and, with essentially no additional work for the student, general Borel measures for the real line. Notation indicates when a result holds only for Lebesgue measure. Differentiation and absolute continuity are presented using a local maximal function, resulting in an exposition that is both simpler and more general than the traditional approach.
The second half deals with general measures and functional analysis, including Hilbert spaces, Fourier series, and the Riesz representation theorem for positive linear functionals on continuous functions with compact support. To correctly discuss weak limits of measures, one needs the notion of a topological space rather than just a metric space, so general topology is introduced in terms of a base of neighborhoods at a point. The development of results then proceeds in parallel with results for metric spaces, where the base is generated by balls centered at a point. The text concludes with appendices on covering theorems for higher dimensions and a short introduction to nonstandard analysis including important applications to probability theory and mathematical economics.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Peter Loeb is an emeritus Professor of Mathematics at the University of Illinois in Champaign-Urbana. His research is centered on problems of real analysis and applications of model theory to real analysis.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhauser Verlag AG
- Date d'édition2016
- ISBN 10 3319307428
- ISBN 13 9783319307428
- ReliureRelié
- Langueanglais
- Numéro d'édition1
- Nombre de pages274
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Real Analysis.
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Basel, Birkhäuser., 2016
ISBN 10 : 3319307428
ISBN 13 : 9783319307428
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Vendeur : Universitätsbuchhandlung Herta Hold GmbH, Berlin, Allemagne
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XII, 274 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. N° de réf. du vendeur 6431GB
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Real Analysis
Edité par
Springer (edition 1st ed. 2016), 2016
ISBN 10 : 3319307428
ISBN 13 : 9783319307428
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Vendeur : BooksRun, Philadelphia, PA, Etats-Unis
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Hardcover. Etat : Good. 1st ed. 2016. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported. N° de réf. du vendeur 3319307428-11-1
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Real Analysis
Edité par
Birkhauser, 2016
ISBN 10 : 3319307428
ISBN 13 : 9783319307428
Ancien ou d'occasion
Couverture rigide
Vendeur : ThriftBooks-Dallas, Dallas, TX, Etats-Unis
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Hardcover. Etat : Very Good. No Jacket. Former library book; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.55. N° de réf. du vendeur G3319307428I4N10
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REAL ANALYSIS
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Etat : New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. N° de réf. du vendeur ABNR-241634
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Real Analysis
Edité par
Springer International Publishing, 2016
ISBN 10 : 3319307428
ISBN 13 : 9783319307428
Neuf
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Vendeur : moluna, Greven, Allemagne
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Written by one of the leading scholars in the field Includes a novel presentation of differentiation and absolute continuity using a local maximum function, resulting in an exposition that is both simpler and more general than the traditional. N° de réf. du vendeur 117107908
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Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 274. N° de réf. du vendeur 26375075664
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Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. pp. 274. N° de réf. du vendeur 18375075674
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Real Analysis
Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. pp. 274. N° de réf. du vendeur 372018319
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Real Analysis
Edité par
Springer International Publishing, 2016
ISBN 10 : 3319307428
ISBN 13 : 9783319307428
Ancien ou d'occasion
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Gebundene Ausgabe. Etat : Sehr gut. Gebraucht - Sehr gut SG - Ungelesenes Mängelexemplar, gestempelt, mit leichten Lagerspuren - This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. The first half of the book develops both Lebesgue measure and, with essentially no additional work for the student, general Borel measures for the real line. Notation indicates when a result holds only for Lebesgue measure. Differentiation and absolute continuity are presented using a local maximal function, resulting in an exposition that is both simpler and more general than the traditional approach. The second half deals with general measures and functional analysis, including Hilbert spaces, Fourier series, and the Riesz representation theorem for positive linear functionals on continuous functions with compact support. To correctly discuss weak limits of measures, one needs the notion of a topological space rather than just a metric space, so general topology is introduced in terms of a base of neighborhoods at a point. The development of results then proceeds in parallel with results for metric spaces, where the base is generated by balls centered at a point. The text concludes with appendices on covering theorems for higher dimensions and a short introduction to nonstandard analysis including important applications to probability theory and mathematical economics. N° de réf. du vendeur INF1000553655
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Real Analysis
Edité par
Springer International Publishing, 2016
ISBN 10 : 3319307428
ISBN 13 : 9783319307428
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The first half of the book develops both Lebesgue measure and, with essentially no additional work for the student, general Borel measures for the real line. Notation indicates when a result holds only for Lebesgue measure. Differentiation and absolute continuity are presented using a local maximal function, resulting in an exposition that is both simpler and more general than the traditional approach.The second half deals with general measures and functional analysis, including Hilbert spaces, Fourier series, and the Riesz representation theorem for positive linear functionals on continuous functions with compact support. To correctly discuss weak limits of measures, one needs the notion of a topological space rather than just a metric space, so general topology is introduced in terms of a base of neighborhoods at a point. The development of results then proceeds in parallel with results for metric spaces, where the base is generated by balls centered at a point. The text concludes with appendices on covering theorems for higher dimensions and a short introduction to nonstandard analysis including important applications to probability theory and mathematical economics. N° de réf. du vendeur 9783319307428
Quantité disponible : 1 disponible(s)