Amazon cover image
Image from Amazon.com
Image from Google Jackets

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: Contributor(s): Material type: TextTextLanguage: 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:
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.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Collection Call number Status Barcode
General Books General Books CUTN Central Library Non-fiction 510.76 FEN (Browse shelf(Opens below)) Available 50352

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.

"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.