TY  - BOOK
AU  - Zhang,Feng
AU  - Ma,Feng
AU  - Wang,Youren
AU  - Ni,Ming
AU  - Kong,Lingzhi
TI  - Sequences and mathematical induction: in mathematical olympiad and competitions 
T2  - Mathematical Olympaid series
SN  - 9789811211041
U1  - 510.76 23
PY  - 2020///]
CY  - Singapore, Shanghai, China : East China Normal University Press
PB  - World Scientific Publishing
KW  - International Mathematical Olympiad Ç‚v Study guides
KW  - Mathematics Ç‚x Competitions Ç‚v Study guides
KW  - Sequences (Mathematics) Ç‚v Problems, exercises, etc
KW  - Mathematics Ç‚v Problems, exercises, etc
N1  - Knowledge 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; Access restricted to subscribing institutions
N2  - "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
UR  - https://ezproxy.lib.gla.ac.uk/login?url=https://www.worldscientific.com/worldscibooks/10.1142/11572#t=toc
ER  -