MARC details
000 -LEADER |
fixed length control field |
03025cam a2200469Mi 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
WSP |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20250527124000.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
200120s2020 si ob 000 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9789811211041 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9811211043 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
Cancelled/invalid ISBN |
978981121104 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
Cancelled/invalid ISBN |
9789811212079 |
041 ## - LANGUAGE CODE |
Language |
English |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT |
Subject category code subdivision |
025000 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT |
Subject category code subdivision |
030000 |
Source |
bisacsh |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT |
Subject category code subdivision |
000000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
510.76 |
Edition number |
23 |
Item number |
FEN |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Zhang, Feng. |
245 10 - TITLE STATEMENT |
Title |
Sequences and mathematical induction |
Remainder of title |
in mathematical olympiad and competitions / |
Statement of responsibility, etc |
by Zhigang Feng ; translated by Ma Feng, Wang Youren ; edited by Ni Ming, Kong Lingzhi. |
250 ## - EDITION STATEMENT |
Edition statement |
2nd edition. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Singapore : |
Name of publisher, distributor, etc |
World Scientific Publishing ; |
Place of publication, distribution, etc |
Shanghai, China : East China Normal University Press, |
Date of publication, distribution, etc |
[2020] |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xvi, 202 p. |
505 0# - FORMATTED CONTENTS NOTE |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
"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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics ǂx Competitions ǂv Study guides. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Sequences (Mathematics) ǂv Problems, exercises, etc. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics ǂv Problems, exercises, etc. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Ma, Feng. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Wang, Youren. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Ni, Ming. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Kong, Lingzhi. |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://ezproxy.lib.gla.ac.uk/login?url=https://www.worldscientific.com/worldscibooks/10.1142/11572#t=toc">https://ezproxy.lib.gla.ac.uk/login?url=https://www.worldscientific.com/worldscibooks/10.1142/11572#t=toc</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
General Books |
490 1# - SERIES STATEMENT |
Series statement |
Mathematical Olympaid series ; |
Volume number/sequential designation |
vol.16, |
International Standard Serial Number |
1793-8570. |
506 ## - RESTRICTIONS ON ACCESS NOTE |
Terms governing access |
Access restricted to subscribing institutions. |
538 ## - SYSTEM DETAILS NOTE |
System details note |
Mode of access: World Wide Web. |
538 ## - SYSTEM DETAILS NOTE |
System details note |
System requirements: Adobe Acrobat Reader. |
610 20 - SUBJECT ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
International Mathematical Olympiad ǂv Study guides. |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Mathematical Olympiad series ; |
Volume number/sequential designation |
vol.16. |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Public note |
Connect to e-book (Limited user access. 1 user at any one time) |
907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) |
a |
.b37637411 |