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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities Paperback - 2004

by J. Michael Steele


Summary

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.

From the publisher

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.

First line

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.

Details

  • Title The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
  • Author J. Michael Steele
  • Binding Paperback
  • Edition US soft cover ed
  • Pages 318
  • Volumes 1
  • Language ENG
  • Publisher Mathematical Association of America (MAA), New York
  • Date 2004-04-26
  • Illustrated Yes
  • ISBN 9780521546775 / 052154677X
  • Weight 0.94 lbs (0.43 kg)
  • Dimensions 8.86 x 6.42 x 0.59 in (22.50 x 16.31 x 1.50 cm)
  • Library of Congress subjects Inequalities (Mathematics)
  • Library of Congress Catalog Number 2004040402
  • Dewey Decimal Code 512.97
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THE CAUCHY-SCHWARZ MASTER CLASS: AN INTRODUCTION TO THE ART OF MATHEMATICAL INEQUALITIES
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THE CAUCHY-SCHWARZ MASTER CLASS: AN INTRODUCTION TO THE ART OF MATHEMATICAL INEQUALITIES

by Steele, J. Michael

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New York: Cambridge University Press, 2007. Reprinted. Softcover. Octavo, vii, x, 306 pages. In Very Good condition. Spine yellow/red with purple, red and white lettering. Paperback binding. Covers have mild wear with light soiling to the front and minor wear to the edges. Previous bookshop's sticker to the rear. Text block has very light wear to the edges. Illustrated. Reprinted. NOTE: Shelved in Netdesk Column H, ND-H. 1378672. FP New Rockville Stock.
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (MAA...
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (MAA Problem Books)

by Steele, J. Michael

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

by J. Michael Steele

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

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Paperback / softback. New. Using the Cauchy-Schwarz inequality as a guide, this 2004 book presents a fascinating collection of problems related to inequalities and coaches readers through solutions. Undergraduate and beginning graduate students in mathematics, theoretical computer science, statistics, engineering, and economics will find the book perfect for self-study or as a supplement to probability and analysis courses.
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities

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The Cauchy-Schwarz Master Class

The Cauchy-Schwarz Master Class

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Paperback / softback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; Using the Cauchy-Schwarz inequality as a guide, this 2004 book presents a fascinating collection of problems related to inequalities and coaches readers through solutions. Undergraduate and beginning graduate students in mathematics, th
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (MAA...
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (MAA Problem Books)

by Steele, J. Michael

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