| 000 | 02636cam a22003737a 4500 | ||
|---|---|---|---|
| 001 | 0000072358 | ||
| 003 | 0001 | ||
| 008 | 170725s2009 sz#a b 001 0 eng | ||
| 015 |
_aGBA957860 _2bnb |
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| 015 |
_a992751721 _2dnb |
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| 015 |
_a09,N10,0984 _2dnb |
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| 016 | 7 |
_a015287579 _2Uk |
|
| 020 | _a9783034600491 (paperback) | ||
| 020 | _a3034600496 (pbk.) | ||
| 020 | _a9783034600507 (ebk.) | ||
| 020 | _a303460050X (ebk.) | ||
| 040 |
_aUKM _cUKM _dBWX _dNJT _dGBVCP _dIUL _dDEBBG _dOHX _dYDXCP _dBTCTA _dDLC |
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| 042 | _alccopycat | ||
| 082 | 0 | 4 |
_a512.97 _222 |
| 084 |
_a512.97 _bBUL-I _2sdnb |
||
| 100 | 1 | _aBulajich Manfrino, Radmila. | |
| 245 | 1 | 0 |
_aInequalities : _h[Book] _ba mathematical olympiad approach / _cRadmila Bulajich Manfrino, Jos ̌Antonio Gm̤ez Ortega, Rogelio Valdez Delgado. |
| 260 |
_aBoston : _aBoston : _bBirkhuser, _cc2009. |
||
| 300 |
_aviii, 210 pages : _billustrations ; _c24 cm. |
||
| 365 |
_a01 _b0.00 |
||
| 520 | _aThis book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities. | ||
| 521 | _aAll | ||
| 650 | 0 | _aInequalities (Mathematics) | |
| 650 | 0 | _aGlobal analysis (Mathematics) | |
| 650 | 0 | _aMathematics | |
| 700 | 1 | _aGm̤ez Ortega, Jos ̌Antonio. | |
| 700 | 1 | _aValdez Delgado, Rogelio. | |
| 852 |
_p56662 _93163.20 _h512.97 BUL-I _vRoyal Book Company _bGround Floor _dBooks _t1 _q1-New _aJZL-CUI |
||
| 999 |
_c69247 _d69247 |
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