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Rado Tibor, Reichelderfer Paul V.:

Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften, Band 75) - encadernado, livro de bolso

ISBN: 3540018972

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Rado Tibor, Reichelderfer Paul V.:

Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften, Band 75) - encadernado, livro de bolso

ISBN: 3540018972

[EAN: 9783540018971], ,, Zustand: in gebrauchtem, gutem Zustand, aus Privatbesitz, geringe Lese- Lagerspuren, Altersgemaesse kleinere Maengel sind nicht immer extra aufgefuehrt., Rechnung… mais…

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Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - Tibor Rado, Paul V. Reichelderfer
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Tibor Rado, Paul V. Reichelderfer:
Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - encadernado, livro de bolso

ISBN: 3540018972

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Rado, T., Reichelderfer, P. V.:
Continuous Transformations in Analysis. With an Introduction to Algebraic Topology (Die Grundlehren der mathematischen Wissenschaften, Band LXXV) - encadernado, livro de bolso

1955, ISBN: 3540018972

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Rado, T., Reichelderfer, P. V.:
Continuous Transformations in Analysis. With an Introduction to Algebraic Topology (Die Grundlehren der mathematischen Wissenschaften, Band LXXV) - encadernado, livro de bolso

ISBN: 9783540018971

Springer-Verlag, 1955. 441 pp., Hardcover, very good in an age-toned and lightly chipped dust jacket, Springer-Verlag, 1955

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Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften)
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3540018972


The general objective of this treatise is to give a systematic presenta­ tion of some of the topological and measure-theoretical foundations of the theory of real-valued functions of several real variables, with particular emphasis upon a line of thought initiated by BANACH, GEOCZE, LEBESGUE, TONELLI, and VITALI. To indicate a basic feature in this line of thought, let us consider a real-valued continuous function I(u) of the single real variable tt. Such a function may be thought of as defining a continuous translormation T under which x = 1 (u) is the image of u. About thirty years ago, BANACH and VITALI observed that the fundamental concepts of bounded variation, absolute continuity, and derivative admit of fruitful geometrical descriptions in terms of the transformation T: x = 1 (u) associated with the function 1 (u). They further noticed that these geometrical descriptions remain meaningful for a continuous transformation T in Euclidean n-space Rff, where T is given by a system of equations of the form 1-/(1 ff) X-I U, . . . ,tt ,. ", and n is an arbitrary positive integer. Accordingly, these geometrical descriptions can be used to define, for continuous transformations in Euclidean n-space Rff, n-dimensional concepts 01 bounded variation and absolute continuity, and to introduce a generalized Jacobian without reference to partial derivatives. These ideas were further developed, generalized, and modified by many mathematicians, and significant applications were made in Calculus of Variations and related fields along the lines initiated by GEOCZE, LEBESGUE, and TONELLI.

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EAN (ISBN-13): 9783540018971
ISBN (ISBN-10): 3540018972
Livro de capa dura
Ano de publicação: 1955
Editor/Editora: Springer

Livro na base de dados desde 2010-03-26T14:05:04+00:00 (Lisbon)
Página de detalhes modificada pela última vez em 2020-06-07T17:18:12+01:00 (Lisbon)
Número ISBN/EAN: 3540018972

Número ISBN - Ortografia alternativa:
3-540-01897-2, 978-3-540-01897-1
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: rado reichelderfer, tibor rado, tibor paul
Título do livro: algebraic topology, continuous transformations analysis, wissenschaft, introduction topology, analysis band

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