The Cauchy-Schwarz Master Class
An Introduction to the Art of Mathematical Inequalities
By (author) J. Michael Steele
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Cauchy-Schwarz Master Class by J. Michael Steele
Book DescriptionThis 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 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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Book DetailsISBN: 9780521546775
(228mm x 152mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 26-Apr-2004
Country of Publication: United Kingdom
Books By Author J. Michael Steele
Cauchy-Schwarz Master Class, Hardback (April 2004)
This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions.
Probability Theory and Combinatorial Optimization, Paperback (January 1987)» View all books by J. Michael Steele
An introduction to the state of the art of the probability theory most applicable to combinatorial optimization.
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Author Biography - J. Michael Steele
J. Michael Steele is C. F. Koo Professor of Statistics at Wharton School, University of Pennsylvania. He is the author of more than 100 mathematical publications including the books, Probability Theory and Combinatorial Optimization and Stochastic Calculus and Financial Applications. He is also the founding editor of the Annals of Applied Probability.
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