Sequences and mathematical induction (Record no. 72800)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03102cam a2200469Mi 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00011572 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 200120s2020 si ob 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789811211041 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9811211043 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (pbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 510.76 |
| 100 1# - AUTHOR NAME | |
| Author | Zhang, Feng. |
| 245 10 - TITLE STATEMENT | |
| Title | Sequences and mathematical induction |
| Sub Title | in mathematical olympiad and competitions / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific Publishing ; |
| Place of publication | Shanghai, China : East China Normal University Press, |
| Year of publication | [2020] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (xvi, 202 p.) |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematical Olympaid series ; |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 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. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Ma, Feng. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Wang, Youren. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Ni, Ming. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Kong, Lingzhi. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/11572#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematics ǂx Competitions ǂv Study guides. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Sequences (Mathematics) ǂv Problems, exercises, etc. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematics ǂv Problems, exercises, etc. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 1793-8570 |
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