Verwandte Artikel zu Foundations of Real and Abstract Analysis: 174 (Graduate...

Foundations of Real and Abstract Analysis: 174 (Graduate Texts in Mathematics) - Softcover

 
9781475771619: Foundations of Real and Abstract Analysis: 174 (Graduate Texts in Mathematics)

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.

  • VerlagSpringer
  • Erscheinungsdatum2013
  • ISBN 10 1475771614
  • ISBN 13 9781475771619
  • EinbandTapa blanda
  • SpracheEnglisch
  • Anzahl der Seiten344
  • Kontakt zum HerstellerNicht verfügbar

Gratis für den Versand innerhalb von/der Deutschland

Versandziele, Kosten & Dauer

Weitere beliebte Ausgaben desselben Titels

9780387982397: Foundations of Real and Abstract Analysis: 174 (Graduate Texts in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387982396 ISBN 13:  9780387982397
Verlag: Springer, 1997
Hardcover

Suchergebnisse für Foundations of Real and Abstract Analysis: 174 (Graduate...

Foto des Verkäufers

Douglas S. Bridges
ISBN 10: 1475771614 ISBN 13: 9781475771619
Neu Taschenbuch

Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

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. Artikel-Nr. 9781475771619

Verkäufer kontaktieren

Neu kaufen

EUR 58,55
Währung umrechnen
Versand: Gratis
Innerhalb Deutschlands
Versandziele, Kosten & Dauer

Anzahl: 1 verfügbar

In den Warenkorb

Beispielbild für diese ISBN

Bridges, Douglas S. S.
Verlag: Springer, 2013
ISBN 10: 1475771614 ISBN 13: 9781475771619
Neu Softcover

Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

Zustand: New. In. Artikel-Nr. ria9781475771619_new

Verkäufer kontaktieren

Neu kaufen

EUR 62,39
Währung umrechnen
Versand: EUR 5,94
Von Vereinigtes Königreich nach Deutschland
Versandziele, Kosten & Dauer

Anzahl: Mehr als 20 verfügbar

In den Warenkorb

Beispielbild für diese ISBN

Douglas S. Bridges
Verlag: Springer, 2013
ISBN 10: 1475771614 ISBN 13: 9781475771619
Neu Paperback

Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

Paperback. Zustand: Brand New. 336 pages. 9.25x6.10x0.90 inches. In Stock. Artikel-Nr. x-1475771614

Verkäufer kontaktieren

Neu kaufen

EUR 81,19
Währung umrechnen
Versand: EUR 11,92
Von Vereinigtes Königreich nach Deutschland
Versandziele, Kosten & Dauer

Anzahl: 2 verfügbar

In den Warenkorb