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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Vendeur : Orion Tech, Kingwood, TX, Etats-Unis
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Vendeur : World of Books (was SecondSale), Montgomery, IL, Etats-Unis
Paperback. Etat : 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. N° de réf. du vendeur CIN0486689239G
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Vendeur : World of Books Inc, Montgomery, IL, Etats-Unis
Paperback. Etat : 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. N° de réf. du vendeur CIN0486689239G
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Paperback. Etat : Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_455181267
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Vendeur : Roundabout Books, Greenfield, MA, Etats-Unis
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Vendeur : Boswell's Books, Shelburne Falls, MA, Etats-Unis
paperback. Etat : 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. N° de réf. du vendeur 1781922
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Vendeur : GoldBooks, Denver, CO, Etats-Unis
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Vendeur : Buchpark, Trebbin, Allemagne
Etat : Sehr gut. Zustand: Sehr gut | Seiten: 352 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. N° de réf. du vendeur 1990063/2
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