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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Maa Problem Books Series.) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
J. Michael Steele is C. F. Koo Professor of Statistics at Wharton School, University of Pennsylvania. He is the author of more than 100 mathematical publications including the books, Probability Theory and Combinatorial Optimization and Stochastic Calculus and Financial Applications. He is also the founding editor of the Annals of Applied Probability.
Review
"...this book is a 'must have' for a university's library, and I recommend it highly to its 'ideal audience.' Many other readers are also bound to discover a satisfying number of attractive and less than familiar results."
MAA Reviews
"This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics."
Zentralblatt MATH
"The book is special...A large mathematics department with a functional graduate program could easily consider to offer a master course based on this book."
Tamas Erdelyi, Journal of Approximation Theory
"I believe George Polya would enjoy reading this book, and I recommend it to both the novice and the sophisticate. It is a nice read."
Ingram Olkin, Stanford University for SIAM Review
"About this title" may belong to another edition of this title.
- PublisherThe Mathematical Association of America
- Publication date2004
- ISBN 10 0521837758
- ISBN 13 9780521837750
- BindingHardcover
- LanguageEnglish
- Number of pages318
- Rating
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Cauchy-Schwarz Master Class : An Introduction to the Art of Mathematical Inequalities
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The Mathematical Association of America, 2004
ISBN 10: 0521837758
ISBN 13: 9780521837750
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Cauchy-Schwarz Master Class : An Introduction to the Art of Mathematical Inequalities
Published by
The Mathematical Association of America, 2004
ISBN 10: 0521837758
ISBN 13: 9780521837750
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Maa Problem Books Series.)
Published by
The Mathematical Association of America, 2004
ISBN 10: 0521837758
ISBN 13: 9780521837750
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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 (Maa Problem Books Series.)
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Cauchy-Schwarz Master Class : An Introduction to the Art of Mathematical Inequalities
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ISBN 13: 9780521837750
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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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CAUCHY-SCHWARZ MASTER CLASS
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The Cauchy-Schwarz Master Class (Hardcover)
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Cambridge University Press, Cambridge, 2004
ISBN 10: 0521837758
ISBN 13: 9780521837750
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Hardcover. Condition: new. Hardcover. 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 Holder, 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521837750
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