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

Name: Cauchy-Schwarz Master Class An Introduction to the Art of Mathematical Inequalities
Price: 43.36 USD
Availability: InStock
ISBN: 9780521546775

ISBN-10: 052154677X

ISBN-13: 9780521546775

Edition: 2004

Authors: J. Michael Steele

List price: $52.99

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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.

Book details

List price: $52.99
Copyright year: 2004
Publisher: American Mathematical Society
Publication date: 4/26/2004
Binding: Paperback
Pages: 318
Size: 5.91" wide x 8.94" long x 0.63" 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