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Cauchy-Schwarz Master Class An Introduction to the Art of Mathematical Inequalities

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ISBN-10: 052154677X

ISBN-13: 9780521546775

Edition: 2004

Authors: J. Michael Steele

List price: $47.95
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Description:

Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide, Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions, in a style reminiscent of George Polya, by teaching basic concepts and sharpening problem solving skills at the same time. Undergraduate and beginning graduate students in mathematics, theoretical computer science, statistics, engineering, and economics will find the book appropriate for self-study.
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Book details

List price: $47.95
Copyright year: 2004
Publisher: American Mathematical Society
Publication date: 4/26/2004
Binding: Paperback
Pages: 318
Size: 6.00" wide x 8.75" long x 0.75" tall
Weight: 0.946
Language: English

Starting with Cauchy
The AM-GM inequality
Lagrange's identity and Minkowski's conjecture
On geometry and sums of squares
Consequences of order
Convexity - the third pillar
Integral intermezzo
The ladder of power means
Holder's inequality
Hilbert's inequality and compensating difficulties
Hardy's inequality and the flop
Symmetric sums
Majorization and Schur convexity
Cancellation and aggregation
Solutions to the exercises
Notes
References