Theorems and Problems in Functional Analysis (Problem Books in Mathematics)

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9780387906386: Theorems and Problems in Functional Analysis (Problem Books in Mathematics)

Even the simplest mathematical abstraction of the phenomena of reality­ the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe­ matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.

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Kirillov, A. A.
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ISBN 10: 038790638X ISBN 13: 9780387906386
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780387906386_lsuk

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Descripción Springer, 1982. Hardback. Estado de conservación: NEW. 9780387906386 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0275146

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A. A. Kirillov
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Descripción Springer-Verlag New York Inc., 1982. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780387906386

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Descripción Springer-Verlag New York Inc., 1982. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780387906386

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Descripción Springer. Hardcover. Estado de conservación: New. Hardcover. 347 pages. Dimensions: 9.5in. x 6.4in. x 0.9in.Even the simplest mathematical abstraction of the phenomena of reality- the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply operations, and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its continuity as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe- matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Nº de ref. de la librería 9780387906386

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Kirillov, A. A.
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Descripción Springer, 2017. Hardcover. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería 038790638X

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A. A. Kirillov, A. D. Gvishiani
Editorial: Springer-Verlag New York Inc., United States (1982)
ISBN 10: 038790638X ISBN 13: 9780387906386
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Descripción Springer-Verlag New York Inc., United States, 1982. Hardback. Estado de conservación: New. 1982 ed.. Language: English . Brand New Book ***** Print on Demand *****.Even the simplest mathematical abstraction of the phenomena of reality- the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply operations, and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its continuity as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe- matical meaning to the concepts of a limit, continuity, a neighborhood, and so on.Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures. Nº de ref. de la librería APC9780387906386

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A. A. Kirillov, A. D. Gvishiani
Editorial: Springer-Verlag New York Inc., United States (1982)
ISBN 10: 038790638X ISBN 13: 9780387906386
Nuevos Tapa dura Cantidad: 10
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Descripción Springer-Verlag New York Inc., United States, 1982. Hardback. Estado de conservación: New. 1982 ed.. Language: English . Brand New Book ***** Print on Demand *****. Even the simplest mathematical abstraction of the phenomena of reality- the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply operations, and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its continuity as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe- matical meaning to the concepts of a limit, continuity, a neighborhood, and so on.Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures. Nº de ref. de la librería APC9780387906386

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A. A. Kirillov; A. D. Gvishiani
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Descripción Estado de conservación: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería POD_9780387906386

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10.

A. A. Kirillov, A. D. Gvishiani, H. H. McFaden (Translator)
Editorial: Springer (1982)
ISBN 10: 038790638X ISBN 13: 9780387906386
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Descripción Springer, 1982. Hardcover. Estado de conservación: New. 1982. This item is printed on demand. Nº de ref. de la librería DADAX038790638X

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