The Resource Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski
Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski
Resource Information
The item Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and highschool students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book
 Language
 eng
 Extent
 1 online resource (x, 444 pages)
 Contents

 Inequalities; Preface; Contents; Chapter 1: Basic (Elementary) Inequalities and Their Application; Chapter 2: Inequalities Between Means (with Two and Three Variables); Chapter 3: Geometric (Triangle) Inequalities; Chapter 4: Bernoulli's Inequality, the CauchySchwarz Inequality, Chebishev's Inequality, Surányi's Inequality; Chapter 5: Inequalities Between Means (General Case); 5.1 Points of Incidence in Applications of the AMGM Inequality; Chapter 6: The Rearrangement Inequality; Chapter 7: Convexity, Jensen's Inequality
 Chapter 8: Trigonometric Substitutions and Their Application for Proving Algebraic Inequalities8.1 The Most Usual Forms of Trigonometric Substitutions; 8.2 Characteristic Examples Using Trigonometric Substitutions; Chapter 9: Hölder's Inequality, Minkowski's Inequality and Their Variants; Chapter 10: Generalizations of the CauchySchwarz Inequality, Chebishev's Inequality and the Mean Inequalities; Chapter 11: Newton's Inequality, Maclaurin's Inequality; Chapter 12: Schur's Inequality, Muirhead's Inequality and Karamata's Inequality
 Chapter 13: Two Theorems from Differential Calculus, and Their Applications for Proving InequalitiesChapter 14: One Method of Proving Symmetric Inequalities with Three Variables; Chapter 15: Method for Proving Symmetric Inequalities with Three Variables De?ned on the Set of Real Numbers; Chapter 16: Abstract Concreteness Method (ABC Method); 16.1 ABC Theorem; Chapter 17: Sum of Squares (SOS Method); Chapter 18: Strong Mixing Variables Method (SMV Theorem); Chapter 19: Method of Lagrange Multipliers; Chapter 20: Problems; Chapter 21: Solutions; Index of Problems; Abbreviations; References
 Isbn
 9783642237928
 Label
 Inequalities : theorems, techniques and selected problems
 Title
 Inequalities
 Title remainder
 theorems, techniques and selected problems
 Statement of responsibility
 Zdravko Cvetkovski
 Language
 eng
 Summary
 This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and highschool students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Cvetkovski, Zdravko
 Dewey number
 512.9/7
 Index
 index present
 LC call number
 QA295
 LC item number
 .C84 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 http://library.link/vocab/subjectName

 Inequalities (Mathematics)
 Mathematics
 MATHEMATICS
 Inequalities (Mathematics)
 Ungleichung
 Label
 Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Inequalities; Preface; Contents; Chapter 1: Basic (Elementary) Inequalities and Their Application; Chapter 2: Inequalities Between Means (with Two and Three Variables); Chapter 3: Geometric (Triangle) Inequalities; Chapter 4: Bernoulli's Inequality, the CauchySchwarz Inequality, Chebishev's Inequality, Surányi's Inequality; Chapter 5: Inequalities Between Means (General Case); 5.1 Points of Incidence in Applications of the AMGM Inequality; Chapter 6: The Rearrangement Inequality; Chapter 7: Convexity, Jensen's Inequality
 Chapter 8: Trigonometric Substitutions and Their Application for Proving Algebraic Inequalities8.1 The Most Usual Forms of Trigonometric Substitutions; 8.2 Characteristic Examples Using Trigonometric Substitutions; Chapter 9: Hölder's Inequality, Minkowski's Inequality and Their Variants; Chapter 10: Generalizations of the CauchySchwarz Inequality, Chebishev's Inequality and the Mean Inequalities; Chapter 11: Newton's Inequality, Maclaurin's Inequality; Chapter 12: Schur's Inequality, Muirhead's Inequality and Karamata's Inequality
 Chapter 13: Two Theorems from Differential Calculus, and Their Applications for Proving InequalitiesChapter 14: One Method of Proving Symmetric Inequalities with Three Variables; Chapter 15: Method for Proving Symmetric Inequalities with Three Variables De?ned on the Set of Real Numbers; Chapter 16: Abstract Concreteness Method (ABC Method); 16.1 ABC Theorem; Chapter 17: Sum of Squares (SOS Method); Chapter 18: Strong Mixing Variables Method (SMV Theorem); Chapter 19: Method of Lagrange Multipliers; Chapter 20: Problems; Chapter 21: Solutions; Index of Problems; Abbreviations; References
 Control code
 772633395
 Dimensions
 unknown
 Extent
 1 online resource (x, 444 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783642237928
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9786613576910
 10.1007/9783642237928
 http://library.link/vocab/ext/overdrive/overdriveId
 357691
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)772633395
 Label
 Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Inequalities; Preface; Contents; Chapter 1: Basic (Elementary) Inequalities and Their Application; Chapter 2: Inequalities Between Means (with Two and Three Variables); Chapter 3: Geometric (Triangle) Inequalities; Chapter 4: Bernoulli's Inequality, the CauchySchwarz Inequality, Chebishev's Inequality, Surányi's Inequality; Chapter 5: Inequalities Between Means (General Case); 5.1 Points of Incidence in Applications of the AMGM Inequality; Chapter 6: The Rearrangement Inequality; Chapter 7: Convexity, Jensen's Inequality
 Chapter 8: Trigonometric Substitutions and Their Application for Proving Algebraic Inequalities8.1 The Most Usual Forms of Trigonometric Substitutions; 8.2 Characteristic Examples Using Trigonometric Substitutions; Chapter 9: Hölder's Inequality, Minkowski's Inequality and Their Variants; Chapter 10: Generalizations of the CauchySchwarz Inequality, Chebishev's Inequality and the Mean Inequalities; Chapter 11: Newton's Inequality, Maclaurin's Inequality; Chapter 12: Schur's Inequality, Muirhead's Inequality and Karamata's Inequality
 Chapter 13: Two Theorems from Differential Calculus, and Their Applications for Proving InequalitiesChapter 14: One Method of Proving Symmetric Inequalities with Three Variables; Chapter 15: Method for Proving Symmetric Inequalities with Three Variables De?ned on the Set of Real Numbers; Chapter 16: Abstract Concreteness Method (ABC Method); 16.1 ABC Theorem; Chapter 17: Sum of Squares (SOS Method); Chapter 18: Strong Mixing Variables Method (SMV Theorem); Chapter 19: Method of Lagrange Multipliers; Chapter 20: Problems; Chapter 21: Solutions; Index of Problems; Abbreviations; References
 Control code
 772633395
 Dimensions
 unknown
 Extent
 1 online resource (x, 444 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783642237928
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9786613576910
 10.1007/9783642237928
 http://library.link/vocab/ext/overdrive/overdriveId
 357691
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)772633395
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