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The Cauchy-Schwarz Master Class
An Introduction to the Art of Mathematical Inequalities
- Editore:
Cambridge University Press
- Collana:
- MAA Problem Books
- EAN:
9780521546775
- ISBN:
052154677X
- Pagine:
- 318
- Formato:
- Paperback
- Lingua:
- Inglese
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Descrizione The Cauchy-Schwarz Master Class
This lively, problem-oriented text, accessible to anyone who knows calculus, helps readers master the 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 a famous mathematician or by the reader. Alongside these beautiful and surprising results, 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.
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