The Cauchy Schwarz Master Class
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The Cauchy Schwarz Master Class
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Author : J. Michael Steele
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-26
The Cauchy Schwarz Master Class written by J. Michael Steele and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-26 with Mathematics categories.
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.
The Cauchy Schwarz Master Class
DOWNLOAD
Author : J. Michael Steele
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-26
The Cauchy Schwarz Master Class written by J. Michael Steele and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-26 with Mathematics categories.
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.
The Cauchy Schwarz Master Class Icm Edition
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Author : J. Michael Steele
language : en
Publisher:
Release Date : 2010-07-23
The Cauchy Schwarz Master Class Icm Edition written by J. Michael Steele and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with categories.
Probability Theory And Combinatorial Optimization
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Author : J. Michael Steele
language : en
Publisher: SIAM
Release Date : 1997-01-01
Probability Theory And Combinatorial Optimization written by J. Michael Steele and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
This monograph provides an introduction to the state of the art of the probability theory that is most directly applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings. Still, there are several nongeometric optimization problems that receive full treatment, and these include the problems of the longest common subsequence and the longest increasing subsequence. The philosophy that guides the exposition is that analysis of concrete problems is the most effective way to explain even the most general methods or abstract principles. There are three fundamental probabilistic themes that are examined through our concrete investigations. First, there is a systematic exploitation of martingales. The second theme that is explored is the systematic use of subadditivity of several flavors, ranging from the naïve subadditivity of real sequences to the subtler subadditivity of stochastic processes. The third and deepest theme developed here concerns the application of Talagrand's isoperimetric theory of concentration inequalities.
When Less Is More
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Author : Claudi Alsina
language : en
Publisher: MAA
Release Date : 2009-04-09
When Less Is More written by Claudi Alsina and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-09 with Education categories.
Introduces the richness and variety of inequalities in mathematics using illustration and visualisation.
Educative Jee Mathematics
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Author : K.D. Joshi
language : en
Publisher: Universities Press
Release Date : 2004-03
Educative Jee Mathematics written by K.D. Joshi and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03 with categories.
The Cauchy Schwarz Master Class
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Author : John Michael Steele
language : en
Publisher:
Release Date : 2004
The Cauchy Schwarz Master Class written by John Michael Steele and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Inequalities (Mathematics) categories.
Using the Cauchy-Schwarz inequality as the initial guide, this text explains the concepts of mathematical inequalities by presenting a sequence of problems as they might have been discovered, the solutions to which can either be found with one of history's great mathematicians or by the reader themselves.
The Cauchy Schwarz Master Class
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Author : J. Michael Steele
language : en
Publisher: Mathematical Association of America
Release Date : 2004-04-26
The Cauchy Schwarz Master Class written by J. Michael Steele and has been published by Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-26 with Mathematics categories.
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.
Algebraic Inequalities
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Author : Hayk Sedrakyan
language : en
Publisher: Springer
Release Date : 2018-07-05
Algebraic Inequalities written by Hayk Sedrakyan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-05 with Mathematics categories.
This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities.