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Cauchy-Schwarz Master Class

Name: Cauchy-Schwarz Master Class
Brand: Cambridge University Press
SKU: 04378536
Price: 22952 HUF
Availability: InStock
Author: J Michael Steele
ISBN: 9780521546775

J Michael Steele

Language

English

Book Paperback

Libristo code: 04378536

Publishers Cambridge University Press, April 2004

This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mas... Full description

Libristo code: 04378536

153 b

22 952 Ft

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This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.