- Series: MAA Problem Books
- Paperback: 318 pages
- Publisher: The Mathematical Association of America (April 26, 2004)
- Language: English
- ISBN-10: 052154677X
- ISBN-13: 978-0521546775
- Product Dimensions: 6 x 0.7 x 9 inches
- Shipping Weight: 1.2 pounds (View shipping rates and policies)
- Average Customer Review: 16 customer reviews
- Amazon Best Sellers Rank: #494,013 in Books (See Top 100 in Books)
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The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (MAA Problem Books)
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"...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."
"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."
"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
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, and it can also be used as a supplement to courses in analysis, probability, and combinatorics.
Top customer reviews
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I dinged this one star because the book has the thickest errata sheet I've ever seen. There are even comments in the errata sheet (for example regarding ex 6.8) saying that a problem is fatally flawed and the author plans to update it in 2007. A decade passes and still no update or re-prints of the book.
Still, all things considered, I love this book.
The challenge problems are excellent and his solutions sometimes skip over some important steps which a teacher could get students to fill in so that they can demonstrate that they understand the material.
There is a lot to learn from this book and it should be read by everyone who is seriously interested in mathematics. The classic Hardy-Littlewood-Polya book on inequalities is a quite different beast but the two together provide the serious reader with a depth of understanding that is hard to surpass.
The book may be good but the equations do not scale on phones or tablets. The equations are not readable and had to be returned for a refund. I have ordered a printed copy instead.
In addition to its core content, the book does something that too few books in mathematics do: Provide a solution for every exercise. This makes it a precious resource for independent study.
Please make a revised hardcover edition!
Famous inequalities bear the name of famous mathematicians, e.g: Tchebychev, Hilbert, Cauchy, Hardy, Rademacher...This is one way to understand their significance in maths. This book is about those ones and others such as 3/2 < a/(b+c) + b/(c+a) + c/(a+b) and the many ways to tackle with the fact of proving and using them. Study of this book should be seen as a good and rewarding path towards improving one's mathematical skills .
Most recent customer reviews
i love maths but my math education in high school is a just a mess
they also discussed am-gm inequality, but the logic and insight is...Read more