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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Cauchy-Schwarz Master Class
• Author: J Michael Steele
• Language: English
• Binding: Paperback
• Number of pages: 318
• EAN: 9780521546775
• ISBN: 052154677X
• ID: 04378536
• Publisher: Cambridge University Press
• Weight: 460 g
• Dimensions: 227 × 153 × 15 mm
• Date of publishing: 26. April 2004

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