Stability Theorems in Geometry and Analysis: 304 (Mathematics and Its Applications, 304) - Hardcover
Synopsis
1. Preliminaries, Notation, and Terminology n n 1.1. Sets and functions in lR. • Throughout the book, lR. stands for the n-dimensional arithmetic space of points x = (X},X2,'" ,xn)j Ixl is the length of n n a vector x E lR. and (x, y) is the scalar product of vectors x and y in lR. , i.e., for x = (Xl, X2, •.• , xn) and y = (y}, Y2,··., Yn), Ixl = Jx~ + x~ + ... + x~, (x, y) = XIYl + X2Y2 + ... + XnYn. n Given arbitrary points a and b in lR. , we denote by [a, b] the segment that joins n them, i.e. the collection of points x E lR. of the form x = >.a + I'b, where>. + I' = 1 and >. ~ 0, I' ~ O. n We denote by ei, i = 1,2, ... ,n, the vector in lR. whose ith coordinate is equal to 1 and the others vanish. The vectors el, e2, ... ,en form a basis for the space n lR. , which is called canonical. If P( x) is some proposition in a variable x and A is a set, then {x E A I P(x)} denotes the collection of all the elements of A for which the proposition P( x) is true.
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Synopsis
This monograph deals with the metric theory of spatial mappings and incorporates results in the theory of quasi-conformal, quasi-isometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space, which is representative of a number of problems on stability for transformation classes. To enable this investigation a wide range of mathematical tools has been developed which incorporate the calculus of variation, estimates for differential operators like Korn inequalities, properties of functions with bounded mean oscillation, etc. Results obtained by others researching similar topics are mentioned, and a survey is given of publications treating relevant questions or involving the technique proposed. This volume should be of interest to graduate students and researchers interested in geometric function theory.
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Stability Theorems in Geometry and Analysis Reshetnyak, Yu.G.
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Hardcover Sep 30, 1994. Condition: Used: Very Good. Stability Theorems in Geometry and Analysis| Y.G. Reshetnyak| Kluwer Academic publishers, 1994. In-8° cartonné, 394 pages. Couverture propre. Dos solide. Intérieur frais sans soulignage ou annotation. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l'intérieur de l'ouvrage. Très bon état général pour cet ouvrage. [Phi15]. Seller Inventory # 0428UUR736W
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Stability Theorems in Geometry and Analysis (Mathematics and Its Applications, 304)
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Stability Theorems in Geometry and Analysis
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Foreword to the English Translation. Preface to the First Russian Edition. 1. Introduction. 2. Moebius Transformations. 3. Integral Representations and Estimates for Differentiable Functions. 4. Stability in Liouville s Theorem on Conformal Mappings i. Seller Inventory # 5967247
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Stability Theorems in Geometry and Analysis
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -1. Preliminaries, Notation, and Terminology n n 1.1. Sets and functions in lR. Throughout the book, lR. stands for the n-dimensional arithmetic space of points x = (X},X2,'' ,xn)j Ixl is the length of n n a vector x E lR. and (x, y) is the scalar product of vectors x and y in lR. , i.e., for x = (Xl, X2, . , xn) and y = (y}, Y2, ., Yn), Ixl = Jx~ + x~ + . + x~, (x, y) = XIYl + X2Y2 + . + XnYn. n Given arbitrary points a and b in lR. , we denote by [a, b] the segment that joins n them, i.e. the collection of points x E lR. of the form x = .a + I'b, where. + I' = 1 and . ~ 0, I' ~ O. n We denote by ei, i = 1,2, . ,n, the vector in lR. whose ith coordinate is equal to 1 and the others vanish. The vectors el, e2, . ,en form a basis for the space n lR. , which is called canonical. If P( x) is some proposition in a variable x and A is a set, then {x E A I P(x)} denotes the collection of all the elements of A for which the proposition P( x) is true. 412 pp. Englisch. Seller Inventory # 9780792331186
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Stability Theorems in Geometry and Analysis
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Stability Theorems in Geometry and Analysis
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1. Introduction.- 2. Möbius Transformations.- 3. Integral Representations and Estimates for Differentiable Functions.- 4. Stability in Liouville's Theorem on Conformal Mappings in Space.- 5. Stability of Isometric Transformations of the Space n.- 6. Stability in Darboux's Theorem.- 7. Differential Properties of Mappings with Bounded Distortion and Conformal Mappings of Riemannian Spaces.- References.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 412 pp. Englisch. Seller Inventory # 9780792331186
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Stability Theorems in Geometry and Analysis
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Condition: New. Print on Demand pp. 412 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Seller Inventory # 8383938
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Stability Theorems in Geometry and Analysis
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Stability Theorems in Geometry and Analysis
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 1. Preliminaries, Notation, and Terminology n n 1.1. Sets and functions in lR. Throughout the book, lR. stands for the n-dimensional arithmetic space of points x = (X},X2,'' ,xn)j Ixl is the length of n n a vector x E lR. and (x, y) is the scalar product of vectors x and y in lR. , i.e., for x = (Xl, X2, . , xn) and y = (y}, Y2, ., Yn), Ixl = Jx~ + x~ + . + x~, (x, y) = XIYl + X2Y2 + . + XnYn. n Given arbitrary points a and b in lR. , we denote by [a, b] the segment that joins n them, i.e. the collection of points x E lR. of the form x = .a + I'b, where. + I' = 1 and . ~ 0, I' ~ O. n We denote by ei, i = 1,2, . ,n, the vector in lR. whose ith coordinate is equal to 1 and the others vanish. The vectors el, e2, . ,en form a basis for the space n lR. , which is called canonical. If P( x) is some proposition in a variable x and A is a set, then {x E A I P(x)} denotes the collection of all the elements of A for which the proposition P( x) is true. Seller Inventory # 9780792331186
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Stability Theorems in Geometry and Analysis (Mathematics and Its Applications, 304)
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