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041			_aEnglish
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072		7	_aMAT _x000000 _2bisacsh
082	0	4	_a510.76 _223 _bFEN
100	1		_aZhang, Feng.
245	1	0	_aSequences and mathematical induction _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]
300			_axvi, 202 p.
490	1		_aMathematical Olympaid series ; _vvol.16, _x1793-8570.
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.
506			_aAccess restricted to subscribing institutions.
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.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat Reader.
610	2	0	_aInternational Mathematical Olympiad Ç‚v Study guides.
650		0	_aMathematics Ç‚x Competitions Ç‚v Study guides.
650		0	_aSequences (Mathematics) Ç‚v Problems, exercises, etc.
650		0	_aMathematics Ç‚v Problems, exercises, etc.
700	1		_aMa, Feng.
700	1		_aWang, Youren.
700	1		_aNi, Ming.
700	1		_aKong, Lingzhi.
830		0	_aMathematical Olympiad series ; _vvol.16.
856	4	0	_uhttps://ezproxy.lib.gla.ac.uk/login?url=https://www.worldscientific.com/worldscibooks/10.1142/11572#t=toc
856	4	0	_zConnect to e-book (Limited user access. 1 user at any one time)
907			_a.b37637411
942			_2ddc _cBOOKS
999			_c44376 _d44376