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Inequalities

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Cover of 'Inequalities'

Table of Contents

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    Book Overview
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    Chapter 1 Basic (Elementary) Inequalities and Their Application
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    Chapter 2 Inequalities Between Means (with Two and Three Variables)
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    Chapter 3 Geometric (Triangle) Inequalities
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    Chapter 4 Bernoulli’s Inequality, the Cauchy–Schwarz Inequality, Chebishev’s Inequality, Surányi’s Inequality
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    Chapter 5 Inequalities Between Means (General Case)
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    Chapter 6 The Rearrangement Inequality
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    Chapter 7 Convexity, Jensen’s Inequality
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    Chapter 8 Trigonometric Substitutions and Their Application for Proving Algebraic Inequalities
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    Chapter 9 Hölder’s Inequality, Minkowski’s Inequality and Their Variants
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    Chapter 10 Generalizations of the Cauchy–Schwarz Inequality, Chebishev’s Inequality and the Mean Inequalities
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    Chapter 11 Newton’s Inequality, Maclaurin’s Inequality
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    Chapter 12 Schur’s Inequality, Muirhead’s Inequality and Karamata’s Inequality
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    Chapter 13 Two Theorems from Differential Calculus, and Their Applications for Proving Inequalities
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    Chapter 14 One Method of Proving Symmetric Inequalities with Three Variables
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    Chapter 15 Method for Proving Symmetric Inequalities with Three Variables Defined on the Set of Real Numbers
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    Chapter 16 Abstract Concreteness Method (ABC Method)
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    Chapter 17 Sum of Squares (SOS Method)
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    Chapter 18 Strong Mixing Variables Method (SMV Theorem)
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    Chapter 19 Method of Lagrange Multipliers
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    Chapter 20 Problems
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    Chapter 21 Solutions
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Title
Inequalities
Published by
Springer-Verlag Berlin Heidelberg, January 2012
DOI 10.1007/978-3-642-23792-8
ISBNs
978-3-64-223791-1, 978-3-64-223792-8
Authors

Cvetkovski, Zdravko, Zdravko Cvetkovski

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 39 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Canada 1 3%
Unknown 38 97%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 9 23%
Student > Master 4 10%
Professor > Associate Professor 4 10%
Professor 3 8%
Researcher 2 5%
Other 6 15%
Unknown 11 28%
Readers by discipline Count As %
Mathematics 7 18%
Engineering 6 15%
Computer Science 6 15%
Physics and Astronomy 3 8%
Biochemistry, Genetics and Molecular Biology 1 3%
Other 1 3%
Unknown 15 38%