The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
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Cambridge University Press
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Автор: J. Michael Steele
Издательство: Cambridge University Press, 2004
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PDF, 318 страниц, 9.54 МБ
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 This lively, problem-oriented text 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 Holder, 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.
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1149
 mustafaka
16 марта 2009
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