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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 Hˆlder, 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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Previews available in: English
Subjects
Mathematics, Nonfiction, Inequalities (Mathematics)Showing 6 featured editions. View all 6 editions?
Edition | Availability |
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1
Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
2013, American Mathematical Society
in English
051181710X 9780511817106
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2
The Cauchy-Schwarz Master Class
2006, Cambridge University Press
E-book
in English
051120776X 9780511207761
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zzzz
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WorldCat
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3
Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
2004, Cambridge University Press
in English
0511211341 9780511211348
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zzzz
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WorldCat
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4
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Maa Problem Books Series.)
April 26, 2004, Cambridge University Press, The Mathematical Association of America
Hardcover
in English
0521837758 9780521837750
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WorldCat
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5
Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
2004, Cambridge University Press
in English
0511213115 9780511213113
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zzzz
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WorldCat
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6
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Maa Problem Books Series.)
April 26, 2004, Cambridge University Press
Paperback
in English
052154677X 9780521546775
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zzzz
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WorldCat
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Book Details
First Sentence
"Cauchy's inequality for real numbers tells us that and there is no doubt that this is one of the most widely used and most important inequalities in all of mathematics."
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- Created April 29, 2008
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April 6, 2023 | Edited by ImportBot | import existing book |
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April 29, 2008 | Created by an anonymous user | Imported from amazon.com record |