Inequalities (Record no. 102224)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03363nam a22004575i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-642-23792-8 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083302.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 120104s2012 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783642237928 |
| -- | 978-3-642-23792-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-642-23792-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA150-272 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBF |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT002000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cvetkovski, Zdravko. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Inequalities |
| Medium | [electronic resource] : |
| Remainder of title | Theorems, Techniques and Selected Problems / |
| Statement of responsibility, etc | by Zdravko Cvetkovski. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | X, 444p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | "Basic (elementary) inequalities and their application -- Inequalities between means, (with two and three variables) -- Geometric (triangle) inequalities -- Bernoulli’s inequality, the Cauchy–Schwarz inequality, Chebishev’s inequality, Surányi’s inequality -- Inequalities between means (general case) -- Points of incidence in applications of the AM–GM inequality -- The rearrangement inequality -- Convexity, Jensen’s inequality -- Trigonometric substitutions and their application for proving algebraic inequalities -- The most usual forms of trigonometric substitutions -- Characteristic examples, using trigonometric substitutions -- Hölder’s inequality, Minkowski’s inequality and their generalizations -- Generalizations of the Cauchy–Schwarz inequality, Chebishev’s inequality and the mean inequalities -- Newton’s inequality, Maclaurin’s inequality -- Schur’s inequality, Muirhead’s inequality -- Two theorems from differential calculus, and their applications for proving inequalities -- One method of proving symmetric inequalities with three variables -- Method for proving symmetric inequalities with three variables defined on set of real numbers -- Abstract concreteness method (ABC method) -- Sum of Squares (S.O.S - method) -- Strong mixing variables method (S.M.V Theorem) -- Lagrange multipliers method. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Science (General). |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Popular Science in Mathematics/Computer Science/Natural Science/Technology. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics Education. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Popular Science, general. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783642237911 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-23792-8 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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