Elementary Functional Analysis

Sprache: Englisch

Verlag: De Gruyter, DE, 2018

3110613913 / 9783110613919

Anbieter: Rarewaves USA, HEBRON, KY, USARarewaves USA

Verkäufer/-in mit 5 Sternen

Verkäufer:in bei AbeBooks seit 10. Juni 2025

Softcover

Zustand: Neu

EUR 69,38

 Versand gratis 
Versand innerhalb von USA

Anzahl: Mehr als 20 verfügbar

In den Warenkorb
30 Tage kostenlose Rückgabe

Artikelbeschreibung des Verkäufers

While there is a plethora of excellent, but mostly "tell-it-all'' books on the subject, this one is intended to take a unique place in what today seems to be a still wide open niche for an introductory text on the basics of functional analysis to be taught within the existing constraints of the standard, for the United States, one-semester graduate curriculum (fifteen weeks with two seventy-five-minute lectures per week).? The book consists of seven chapters and an appendix taking the reader from the fundamentals of abstract spaces (metric, vector, normed vector, and inner product), through the basics of linear operators and functionals, the three fundamental principles (the Hahn-Banach Theorem, the Uniform Boundedness Principle, the Open Mapping Theorem and its equivalents: the Inverse Mapping and Closed Graph Theorems) with their numerous profound implications and certain interesting applications, to the elements of the duality and reflexivity theory. Chapter 1 outlines some necessary preliminaries, while the Appendix gives a concise discourse on the celebrated Axiom of Choice, its equivalents (the Hausdorff Maximal Principle, Zorn's Lemma, and Zermello's Well-Ordering Principle), and ordered sets.? Being designed as a text to be used in a classroom, the book constantly calls for the student's actively mastering the knowledge of the subject matter. It contains 112 Problems, which are indispensable for understanding and moving forward. Many important statements are given as problems, a lot of these are frequently referred to and used in the main body. There are also 376 Exercises throughout the text, including Chapter 1 and the Appendix, which require of the student to prove or verify a statement or an example, fill in necessary details in a proof, or provide an intermediate step or a counterexample. They are also an inherent part of the material. More difficult problems are marked with an asterisk, many problem and exercises being supplied with "existential'' hints.? The book is generous on Examples and contains numerous Remarks accompanying every definition and virtually each statement to discuss certain subtleties, raise questions on whether the converse assertions are true, whenever appropriate, or whether the conditions are essential.?? The prerequisites are set intentionally quite low, the students not being assumed to have taken graduate courses in real or complex analysis and general topology, to make the course accessible and attractive to a wider audience of STEM (science, technology, engineering, and mathematics) graduate students or advanced undergraduates with a solid background in calculus and linear algebra. With proper attention given to applications, plenty of examples, problems, and exercises, this well-designed text is ideal for a one-semester graduate course on the fundamentals of functional analysis for students in mathematics, physics, computer science, and engineering. ContentsPreliminariesMetric SpacesNormed Ve.…

Bestandsnummer des Verkäufers LU-9783110613919

Titel
Elementary Functional Analysis
Autor
Marat V. Markin
Verlag
De Gruyter, DE
Erscheinungsjahr
2018
Zustand
New
Einband
Paperback
Sprache
Englisch
ISBN-10
3110613913
ISBN-13
9783110613919
Artikelgewicht
639 Gramm

Rarewaves USA

HEBRON, KY, USA

Verkäufer/-in mit 5 Sternen

Verkäufer:in bei AbeBooks seit 10. Juni 2025

Versandkosten innerhalb von USA

Artikel10 bis 13 Werktage10 bis 13 Werktage
Erster ArtikelEUR 0,00EUR 0,00
Die Versandzeiten werden von den Verkäuferinnen und Verkäufern festgelegt. Sie variieren je nach Versanddienstleister und Standort. Sendungen, die den Zoll passieren, können Verzögerungen unterliegen. Eventuell anfallende Abgaben oder Gebühren sind von der Käuferin bzw. dem Käufer zu tragen. Die Verkäuferin bzw. der Verkäufer kann Sie bezüglich zusätzlicher Versandkosten kontaktieren, um einen möglichen Anstieg der Versandkosten für Ihre Artikel auszugleichen.

Zahlungsarten

  • Visa
  • Mastercard
  • American Express
  • Carte Bleue
  • Apple Pay
  • Google Pay

Unternehmensdaten der Verkäuferin bzw. des Verkäufers

Rarewaves USA

10100 West Sample Road, Ste 101
Coral Springs, FL USA 33065