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| 008 | 200120s2020 si ob 000 0 eng d | ||
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_a WSPC _b eng _c WSPC |
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| 020 |
_a9789811211041 _q(ebook) |
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| 020 |
_a9811211043 _q(ebook) |
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| 020 |
_z978981121104 _q(hbk.) |
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| 020 |
_z9789811212079 _q(pbk.) |
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_aQA43 _b.Z53 2020 |
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_aMAT _x025000 _2bisacsh |
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_aMAT _x000000 _2bisacsh |
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_a510.76 _223 |
| 100 | 1 |
_aZhang, Feng. _921251 |
|
| 245 | 1 | 0 |
_aSequences and mathematical induction _h[electronic resource] : _bin mathematical olympiad and competitions / _cby Zhigang Feng ; translated by Ma Feng, Wang Youren ; edited by Ni Ming, Kong Lingzhi. |
| 250 | _a2nd edition. | ||
| 260 |
_aSingapore : _bWorld Scientific Publishing ; _aShanghai, China : East China Normal University Press, _c[2020] |
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| 300 | _a1 online resource (xvi, 202 p.) | ||
| 490 | 1 |
_aMathematical Olympaid series ; _vvol.16, _x1793-8570 |
|
| 538 | _aMode of access: World Wide Web. | ||
| 538 | _aSystem requirements: Adobe Acrobat Reader. | ||
| 505 | 0 | _aKnowledge and technique. The first form of mathematical induction ; The second form of mathematical induction ; Well-ordering Principle and Infinite Descent ; General terms and summation of sequences ; Arithmetic sequences and geometric sequences ; Higher-order arithmetic sequences and the method of differences ; Recursive Sequences; Periodic Sequences ; Exercise Set 1 -- Selected topical discussions. The fibonacci sequence ; Several proofs of AM-GM inequality ; Choosing a proper span ; Choosing the appropriate object for induction ; Make appropriate changes to the propositions ; Guessing before proving ; Problem regarding existence with sequences ; Exercise set 2 -- Solutions to exercises. Solutions to exercise set 1 ; Solutions to exercise set 2 -- Bibliography. | |
| 520 | _a"The author attempts to use some common characteristics of sequence and mathematical induction to fundamentally connect Math Olympiad problems to particular branches of mathematics. In doing so, the author hopes to reveal the beauty and joy involved with math exploration and at the same time, attempts to arouse readers' interest of learning math and invigorate their courage to challenge themselves with difficult problems"--Publisher's website. | ||
| 610 | 2 | 0 |
_aInternational Mathematical Olympiad ǂv Study guides. _921252 |
| 650 | 0 |
_aMathematics ǂx Competitions ǂv Study guides. _921253 |
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| 650 | 0 |
_aSequences (Mathematics) ǂv Problems, exercises, etc. _921254 |
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| 650 | 0 |
_aMathematics ǂv Problems, exercises, etc. _921255 |
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| 655 | 0 |
_aElectronic books. _93294 |
|
| 700 | 1 |
_aMa, Feng. _921256 |
|
| 700 | 1 |
_aWang, Youren. _921257 |
|
| 700 | 1 |
_aNi, Ming. _921258 |
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| 700 | 1 |
_aKong, Lingzhi. _921259 |
|
| 830 | 0 |
_aMathematical Olympiad series ; _vvol.16. _x1793-8570 _921260 |
|
| 856 | 4 | 0 |
_uhttps://www.worldscientific.com/worldscibooks/10.1142/11572#t=toc _zAccess to full text is restricted to subscribers. |
| 942 | _cEBK | ||
| 999 |
_c72800 _d72800 |
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