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 Hölder, 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.

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Recensione:

'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

Descrizione del libro:

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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1.

J. Michael Steele
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2004)
ISBN 10: 052154677X ISBN 13: 9780521546775
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Condizione libro: 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. Codice libro della libreria AAU9780521546775

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J. Michael Steele
Editore: Cambridge University Press
ISBN 10: 052154677X ISBN 13: 9780521546775
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Descrizione libro Cambridge University Press. Paperback. Condizione libro: 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. Codice libro della libreria B9780521546775

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J. Michael Steele
Editore: Cambridge University Press 2004-04-26, Cambridge (2004)
ISBN 10: 052154677X ISBN 13: 9780521546775
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Descrizione libro Cambridge University Press 2004-04-26, Cambridge, 2004. paperback. Condizione libro: New. Codice libro della libreria 9780521546775

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Steele, J. Michael
Editore: The Mathematical Association of America (2004)
ISBN 10: 052154677X ISBN 13: 9780521546775
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Descrizione libro The Mathematical Association of America, 2004. Condizione libro: 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. . . . . . Codice libro della libreria V9780521546775

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J. Michael Steele
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2004)
ISBN 10: 052154677X ISBN 13: 9780521546775
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Condizione libro: 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. Codice libro della libreria AAU9780521546775

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Descrizione libro Cambridge University Press, 2004. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria I2-9780521546775

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97805215467750000000

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Descrizione libro The Mathematical Association of America. Condizione libro: 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. Codice libro della libreria V9780521546775

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Descrizione libro Cambridge University Press, 2004. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria BB-9780521546775

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J. Michael Steele
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Descrizione libro Cambridge Univ Pr, 2004. Paperback. Condizione libro: Brand New. illustrated edition. 316 pages. 8.75x6.00x0.75 inches. In Stock. Codice libro della libreria __052154677X

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