Coverart for item
The Resource Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski

Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski

Label
Inequalities : theorems, techniques and selected problems
Title
Inequalities
Title remainder
theorems, techniques and selected problems
Statement of responsibility
Zdravko Cvetkovski
Creator
Subject
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 high-school 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
Instantiates
Publication
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 Cauchy-Schwarz Inequality, Chebishev's Inequality, Surányi's Inequality; Chapter 5: Inequalities Between Means (General Case); 5.1 Points of Incidence in Applications of the AM-GM 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 Cauchy-Schwarz 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
  • 10.1007/978-3-642-23792-8
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
Publication
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 Cauchy-Schwarz Inequality, Chebishev's Inequality, Surányi's Inequality; Chapter 5: Inequalities Between Means (General Case); 5.1 Points of Incidence in Applications of the AM-GM 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 Cauchy-Schwarz 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
  • 10.1007/978-3-642-23792-8
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

Library Locations

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      38.944491 -92.326012
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