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Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - Tibor Rado, Paul V. Reichelderfer
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Tibor Rado, Paul V. Reichelderfer:
Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - gebunden oder broschiert

ISBN: 3540018972

[SR: 7454784], Hardcover, [EAN: 9783540018971], Springer, Springer, Book, [PU: Springer], Springer, 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., 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books

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Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - Tibor Rado, Paul V. Reichelderfer
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Tibor Rado, Paul V. Reichelderfer:
Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - gebunden oder broschiert

ISBN: 3540018972

[SR: 7431555], Hardcover, [EAN: 9783540018971], Springer, Springer, Book, [PU: Springer], Springer, 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., 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books

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Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - Tibor Rado, Paul V. Reichelderfer
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Tibor Rado, Paul V. Reichelderfer:
Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - gebunden oder broschiert

ISBN: 3540018972

[SR: 5072335], Hardcover, [EAN: 9783540018971], Springer, Springer, Book, [PU: Springer], Springer, 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., 13987, Topology, 226700, Geometry & Topology, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books

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Continuous Transformations in Analysis : With an Introduction to Algebraic Topology - Tibor Rado; Paul V. Reichelderfer
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ISBN: 3540018972

ID: 14523015

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 Cal used books,books Books, Springer

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Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - Tibor Rado, Paul V. Reichelderfer
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Tibor Rado, Paul V. Reichelderfer:
Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren der mathematischen Wissenschaften) - gebunden oder broschiert

ISBN: 3540018972

[SR: 6983586], Hardcover, [EAN: 9783540018971], Springer, Springer, Book, [PU: Springer], 1955-01-01, Springer, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Details zum Buch
Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover))

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.

Detailangaben zum Buch - Continuous Transformations in Analysis: With an Introduction to Algebraic Topology (Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover))


EAN (ISBN-13): 9783540018971
ISBN (ISBN-10): 3540018972
Gebundene Ausgabe
Erscheinungsjahr: 1955
Herausgeber: Springer

Buch in der Datenbank seit 26.03.2010 15:05:04
Buch zuletzt gefunden am 18.11.2017 11:16:17
ISBN/EAN: 3540018972

ISBN - alternative Schreibweisen:
3-540-01897-2, 978-3-540-01897-1


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