Sequences and mathematical induction in mathematical olympiad and competitions / by Zhigang Feng ; translated by Ma Feng, Wang Youren ; edited by Ni Ming, Kong Lingzhi.

By:

Zhang, Feng

Contributor(s):

Material type: Text

TextLanguage: English Series: Mathematical Olympiad series ; vol.16.Publication details: Singapore : World Scientific Publishing ; Shanghai, China : East China Normal University Press, [2020]Edition: 2nd editionDescription: xvi, 202 pISBN:

9789811211041
9811211043

Subject(s):

DDC classification:

510.76 23 FEN

Online resources:

Click here to access online

Contents:

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.

Summary: "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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Status	Barcode
General Books	CUTN Central Library	Non-fiction	510.76 FEN (Browse shelf(Opens below))	Available	50352

Browsing CUTN Central Library shelves, Collection: Non-fiction Close shelf browser (Hides shelf browser)

Previous						No cover image available No cover image available	No cover image available No cover image available	Next
Previous	510.71 IVA Making mathematics come to life : a guide for teachers and students /	510.71 PON Teaching Mathematics Creatively/	510.724 YAN Perspectives in mathematical sciences /	510.76 FEN Sequences and mathematical induction in mathematical olympiad and competitions /	510.76 HOL A First Step to Mathematical Olympiad Problems/	510.76 JIA Lecture notes on mathematical olympiad courses : for junior section, volume 1 & 2 /	510.76 JIA Lecture notes on mathematical olympiad courses : for junior section, volume 1 & 2 /	Next

Access restricted to subscribing institutions.

"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.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

There are no comments on this title.

to post a comment.