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Sinopsis
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms ― including problems in the complex domain, especially involving the Laplace transform ― and more. Each chapter includes a set of problems, with hints and answers. Bibliography. 1974 edition.
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Acerca del autor
Soviet mathematician Georgi E. Shilov (1917-75) was a longtime Professor of Mathematics at Moscow State University and the author of several other successful Dover reprints.
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Elementary Functional Analysis (Dover Books on Mathematics)
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Elementary Functional Analysis (Dover Books on Mathematics)
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Dover Publications, 1996
ISBN 10: 0486689239
ISBN 13: 9780486689234
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Elementary Functional Analysis
Publicado por
Dover Publications Inc., 1996
ISBN 10: 0486689239
ISBN 13: 9780486689234
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Paperback
Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Good. In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term functional analysis), rather than sets of points in a finite-dimensional space.Chapter 2 is devoted to differential equations, and contains the basic theorems on existence and uniqueness of solutions of ordinary differential equations for functions taking values in a Banach space. The solution of the linear equation with constant (operator) coefficients is written in general form in terms of the exponential of the operator. This leads, in the finite-dimensional case, to explicit formulas not only for the solutions of first-order equations, but also to the solutions of higher-order equations and systems of equations. The third chapter presents a theory of curvature for curve in a multidimensional space.The final two chapters essentially comprise an introduction to Fourier analysis. In the treatment of orthogonal expansions, a key role is played by Fourier series and the various kinds of convergence and summability for such series. The material on Fourier transforms, in addition to presenting the more familiar theory, also deals with problems in the complex domain, in particular with problems involving the Laplace transform.Designed for students at the upper-undergraduate or graduate level, the text includes a set of problems for each chapter, with hints and answers at the end of the book. Nº de ref. del artículo: CIN0486689239G
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Elementary Functional Analysis (Dover Books on Mathematics)
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paperback. Condición: Near Fine. Condition Notes: Excellent, unmarked copy with little wear and tight binding. We ship in recyclable American-made mailers. 100% money-back guarantee on all orders. Nº de ref. del artículo: 1781922
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Elementary Functional Analysis
Publicado por
Dover Publications Inc., 1996
ISBN 10: 0486689239
ISBN 13: 9780486689234
Antiguo o usado
Paperback
Librería: World of Books Inc, Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: Good. In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term functional analysis), rather than sets of points in a finite-dimensional space.Chapter 2 is devoted to differential equations, and contains the basic theorems on existence and uniqueness of solutions of ordinary differential equations for functions taking values in a Banach space. The solution of the linear equation with constant (operator) coefficients is written in general form in terms of the exponential of the operator. This leads, in the finite-dimensional case, to explicit formulas not only for the solutions of first-order equations, but also to the solutions of higher-order equations and systems of equations. The third chapter presents a theory of curvature for curve in a multidimensional space.The final two chapters essentially comprise an introduction to Fourier analysis. In the treatment of orthogonal expansions, a key role is played by Fourier series and the various kinds of convergence and summability for such series. The material on Fourier transforms, in addition to presenting the more familiar theory, also deals with problems in the complex domain, in particular with problems involving the Laplace transform.Designed for students at the upper-undergraduate or graduate level, the text includes a set of problems for each chapter, with hints and answers at the end of the book. Nº de ref. del artículo: CIN0486689239G
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Elementary Functional Analysis Dover Books on Mathematics
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N/A 1996-01-18T00:00:01Z, 1996
ISBN 10: 0486689239
ISBN 13: 9780486689234
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Softcover/Paperback. Condición: Very Good. N/A | Pages: 352. Nº de ref. del artículo: BK-3URQAG
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Elementary Functional Analysis (Dover Books on Mathematics)
Librería: Boswell's Books, Shelburne Falls, MA, Estados Unidos de America
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paperback. Condición: Near Fine. Condition Notes: Excellent, unmarked copy with little wear and tight binding. We ship in recyclable American-made mailers. 100% money-back guarantee on all orders. Nº de ref. del artículo: 1781922
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Elementary Functional Analysis (Dover Books on Mathematics)
Librería: GoldBooks, Denver, CO, Estados Unidos de America
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Elementary Functional Analysis
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DOVER PUBN INC, 1996
ISBN 10: 0486689239
ISBN 13: 9780486689234
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Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Seiten: 352 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Nº de ref. del artículo: 1990063/2
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