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 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
- 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 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
- 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 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
- 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Inequalities--theorems-techniques-and-selected/a8lGQE2XTac/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Inequalities--theorems-techniques-and-selected/a8lGQE2XTac/">Inequalities : theorems, techniques and selected problems, Zdravko Cvetkovski</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
