Mathematical Analysis II (Universitext)
Contributors: R. Cooke (Translator)
Edition: 1 edition
Publisher: Springer
Published: January 22, 2004
Language: eng
Format: Hardcover
Number of pages: 681
ISBN-13: 9783540406334
Subjects: Calculus & mathematical analysis; Science/Mathematics; Mathematical Analysis; Mathematics; Calculus; Mathematical Physics; Fourier transforms; Mathematics / Mathematical Analysis; analysis on manifolds; asymptotic methods; differential calculus; integral calculus; General
First sentence: Definition 1. A set X is said to be endowed with a metric or a metric space structure or to be a metric space if a function d : X x X R (9.1) is exhibited satisfying the following conditions: a) d(x1, x2) = 0 x1 = x2, b) d(x1, x2) = d(x2, x2) (symmetry), c) d(x1, x3) d(x1, x2) + d(x2, x3) (the triangle inequality), where x1, x2, x3 are arbitrary elements of X.