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

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9780521546775: The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities

This lively, problem-oriented text, first published in 2004, 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse :

'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

'… pleaseant reading for everyone with a solid real analysis background at undergraduate level, even before reading Pólya-Szegö. In fact, even researchers working on topics close to those in this book can find much to add to their repertoire.' Tamás Erdélyi, Department of Mathematics, Texas A&M University

'The book is special … A large mathematics department with a functional graduate program could easily consider to offer a course based on this book.' Tamas Erdelyi, Journal of Approximation Theory

Biographie de l'auteur :

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.

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1.

J. Michael Steele
Edité par CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2004)
ISBN 10 : 052154677X ISBN 13 : 9780521546775
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. État : New. 221 x 150 mm. Language: English . Brand New Book. This lively, problem-oriented text, first published in 2004, 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. N° de réf. du libraire AAU9780521546775

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J. Michael Steele
Edité par CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2004)
ISBN 10 : 052154677X ISBN 13 : 9780521546775
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. État : New. 221 x 150 mm. Language: English . Brand New Book. This lively, problem-oriented text, first published in 2004, 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. N° de réf. du libraire AAU9780521546775

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J. Michael Steele
Edité par Cambridge University Press
ISBN 10 : 052154677X ISBN 13 : 9780521546775
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Description du livre Cambridge University Press. Paperback. État : new. BRAND NEW, The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities, J. Michael Steele, This lively, problem-oriented text, first published in 2004, 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. N° de réf. du libraire B9780521546775

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J. Michael Steele
Edité par Cambridge University Press 2004-04-26, Cambridge (2004)
ISBN 10 : 052154677X ISBN 13 : 9780521546775
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Description du livre Cambridge University Press 2004-04-26, Cambridge, 2004. paperback. État : New. N° de réf. du libraire 9780521546775

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Steele, J. Michael
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ISBN 10 : 052154677X ISBN 13 : 9780521546775
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Description du livre The Mathematical Association of America, 2004. État : New. This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions. Num Pages: 318 pages, 35 b/w illus. 161 exercises. BIC Classification: PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 227 x 153 x 15. Weight in Grams: 464. An Introduction to the Art of Mathematical Inequalities. 318 pages, 35 b/w illus. 161 exercises. This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions. Cateogry: (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: PBK. Dimension: 227 x 153 x 15. Weight: 436. . 2004. Paperback. . . . . . N° de réf. du libraire V9780521546775

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Description du livre Cambridge University Press, 2004. PAP. État : New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire I2-9780521546775

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Description du livre The Mathematical Association of America. État : New. This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions. Num Pages: 318 pages, 35 b/w illus. 161 exercises. BIC Classification: PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 227 x 153 x 15. Weight in Grams: 464. An Introduction to the Art of Mathematical Inequalities. 318 pages, 35 b/w illus. 161 exercises. This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions. Cateogry: (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: PBK. Dimension: 227 x 153 x 15. Weight: 436. . 2004. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du libraire V9780521546775

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Description du livre Cambridge University Press, 2004. PAP. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire BB-9780521546775

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Description du livre Cambridge Univ Pr, 2004. Paperback. État : Brand New. illustrated edition. 316 pages. 8.75x6.00x0.75 inches. In Stock. N° de réf. du libraire __052154677X

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