The Cauchy-Schwarz Master Class
An Introduction to the Art of Mathematical Inequalities (Maa Problem Books Series.)
by J. Michael Steele · first published 2004
100% recommend
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
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Best books I read in 2011: * "Salonica, City of Ghosts" by M.Mazower. Tells the history of Thessaloniki, informative, entertaining, at times nostalgic. * "The Cauchy-Schwarz Master Class" by J.M.Steele. A guided tour of mathematical inequalities. Very entertaining and readable (for a math book) and extremely well written. * "Indiscrete Thoughts" by G-C.Rota. Irreverent anecdotes about…
on “Ask HN: Best book you read in 2011” ↗The Cauchy-Schwarz Master Class by J. Michael Steele Linear Algebra by A.O. Morris (out of print and tricky to find)
on “Ask HN: Math books that made you significantly better at math?” ↗The Cauchy–Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities is a graded problem book that will teach them the principles and practice of mathematical proofs like no other book. Here is its MAA review: [0].…
on “Ask HN: Recommend a maths book for a teenager?” ↗