Verwandte Artikel zu Foundations of Real and Abstract Analysis: 174 (Graduate...
Inhaltsangabe
This book represents a first course in the theory of metric, normed, and Hilbert spaces, and is intended (i) for mathematicians, physicists, and others who may need only one course that provides the elements of that subject, and (ii) as a foundation for more advanced courses in analysis, topology, and geometry for pure mathematicians. Prerequisites is a knowledge of the basic ideas of limits and continuity.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Neu kaufen
Diesen Artikel anzeigen
EUR 47,23
Gratis für den Versand innerhalb von/der Deutschland
Versandziele, Kosten & Dauer
Suchergebnisse für Foundations of Real and Abstract Analysis: 174 (Graduate...
Foto des Verkäufers
Foundations of Real and Abstract Analysis
Print-on-DemandAnbieter: moluna, Greven, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. * A wide range of material * Clear and concise format * Unique collection of nearly 750 exercises * Pointers to new branches of the subjectA wide range of material * Clear and concise format * Unique collection of nearly 750 exercises *Pointer. Bestandsnummer des Verkäufers 4207717
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Foundations of Real and Abstract Analysis
Verlag:
Springer New York, Springer US Mär 2013, 2013
ISBN 10: 1475771614
ISBN 13: 9781475771619
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The core of this book, Chapters three through five, presents a course on metric, normed, and Hilbert spaces at the senior/graduate level. The motivation for each of these chapters is the generalisation of a particular attribute of the n Euclidean space R: in Chapter 3, that attribute is distance; in Chapter 4, length; and in Chapter 5, inner product. In addition to the standard topics that, arguably, should form part of the armoury of any graduate student in mathematics, physics, mathematical economics, theoretical statistics, . . , this part of the book contains many results and exercises that are seldom found in texts on analysis at this level. Examples of the latter are Wong¿s Theorem (3.3.12) showing that the Lebesgue covering property is equivalent to the uniform continuity property, and Motzkin¿s result (5. 2. 2) that a nonempty closed subset of Euclidean space has the unique closest point property if and only if it is convex. The sad reality today is that, perceiving them as one of the harder parts of their mathematical studies, students contrive to avoid analysis courses at almost any cost, in particular that of their own educational and technical deprivation. Many universities have at times capitulated to the negative demand of students for analysis courses and have seriously watered down their expectations of students in that area. As a result, mathematics majors are graduating, sometimes with high honours, with little exposure to anything but a rudimentary course or two on real and complex analysis, often without even an introduction to the Lebesgue integral.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 344 pp. Englisch. Bestandsnummer des Verkäufers 9781475771619
Anzahl: 1 verfügbar
Foto des Verkäufers
Foundations of Real and Abstract Analysis
Verlag:
Springer New York, Springer US, 2013
ISBN 10: 1475771614
ISBN 13: 9781475771619
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The core of this book, Chapters three through five, presents a course on metric, normed, and Hilbert spaces at the senior/graduate level. The motivation for each of these chapters is the generalisation of a particular attribute of the n Euclidean space R: in Chapter 3, that attribute is distance; in Chapter 4, length; and in Chapter 5, inner product. In addition to the standard topics that, arguably, should form part of the armoury of any graduate student in mathematics, physics, mathematical economics, theoretical statistics, . . , this part of the book contains many results and exercises that are seldom found in texts on analysis at this level. Examples of the latter are Wong's Theorem (3.3.12) showing that the Lebesgue covering property is equivalent to the uniform continuity property, and Motzkin's result (5. 2. 2) that a nonempty closed subset of Euclidean space has the unique closest point property if and only if it is convex. The sad reality today is that, perceiving them as one of the harder parts of their mathematical studies, students contrive to avoid analysis courses at almost any cost, in particular that of their own educational and technical deprivation. Many universities have at times capitulated to the negative demand of students for analysis courses and have seriously watered down their expectations of students in that area. As a result, mathematics majors are graduating, sometimes with high honours, with little exposure to anything but a rudimentary course or two on real and complex analysis, often without even an introduction to the Lebesgue integral. Bestandsnummer des Verkäufers 9781475771619
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In. Bestandsnummer des Verkäufers ria9781475771619_new
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Foundations of Real and Abstract Analysis
Print-on-DemandAnbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students. 344 pp. Englisch. Bestandsnummer des Verkäufers 9781475771619
Anzahl: 2 verfügbar
Beispielbild für diese ISBN
Foundations of Real and Abstract Analysis
Verlag:
Springer-Verlag New York Inc., 2013
ISBN 10: 1475771614
ISBN 13: 9781475771619
Neu
Paperback / softback
Anbieter: THE SAINT BOOKSTORE, Southport, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback / softback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 558. Bestandsnummer des Verkäufers C9781475771619
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Foundations of Real and Abstract Analysis
Anbieter: Chiron Media, Wallingford, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PF. Zustand: New. Bestandsnummer des Verkäufers 6666-IUK-9781475771619
Anzahl: 10 verfügbar
Beispielbild für diese ISBN
Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics)
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: Brand New. 336 pages. 9.25x6.10x0.90 inches. In Stock. Bestandsnummer des Verkäufers x-1475771614
Anzahl: 2 verfügbar
Beispielbild für diese ISBN
Foundations of Real and Abstract Analysis (Graduate Texts in Mathematics)
Anbieter: Lucky's Textbooks, Dallas, TX, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Bestandsnummer des Verkäufers ABLIING23Mar2716030093907
Anzahl: Mehr als 20 verfügbar