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9783110613919

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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 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. [...] In: Bookauthority, https: //bookauthority.org/books/beginner-functional-analysis-books, Letzter Aufruf am 22.10.2019 Der Autor stellt ubersichtlich die wesentlichen Themen der klassischen Funktionalanalysis in einem angemessenen Umfang [...] dar. [...] Das Buch ist als eine geeignete Erganzung zu einem entsprechenden Grundkurs Analysis [...] zu verstehen. Dr. Torsten Mergen, Universitat des Saarlandes

Der Autor stellt bersichtlich die wesentlichen Themen der klassischen Funktionalanalysis in einem angemessenen Umfang [...] dar. [...] Das Buch ist als eine geeignete Erg nzung zu einem entsprechenden Grundkurs Analysis [...] zu verstehen. Dr. Torsten Mergen, Universit t des Saarlandes

"""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 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. [...]"" In: Bookauthority, https: //bookauthority.org/books/beginner-functional-analysis-books, Letzter Aufruf am 22.10.2019 ""Der Autor stellt übersichtlich die wesentlichen Themen der klassischen Funktionalanalysis in einem angemessenen Umfang [...] dar. [...] Das Buch ist als eine geeignete Ergänzung zu einem entsprechenden Grundkurs Analysis [...] zu verstehen."" Dr. Torsten Mergen, Universität des Saarlandes"

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Marat V. Markin, California State University, Fresno, USA.

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