Stability Theorems in Geometry and Analysis Reshetnyak, Yu.G.

Reshetnyak, Yu.G.

ISBN 10: 0792331184 / ISBN 13: 9780792331186

Published by Springer, 1994

About this Item

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

Bibliographic Details

• Title: Stability Theorems in Geometry and Analysis Reshetnyak, Yu.G.
• Publisher: Springer
• Publication Date: 1994
• Language: English
• ISBN 10: 0792331184
• ISBN 13: 9780792331186
• Binding: Hardcover Sep 30, 1994
• Condition: Used: Very Good

About this title

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.

Language Notes

Text: English (translation)
Original Language: Russian