Proofs that really count (Record no. 2675)
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000 -LEADER | |
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fixed length control field | 01874nam a22002297a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240925130313.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 190430b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780883853337 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | ICTS-TIFR |
050 ## - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA13.5 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Arthur T. Benjamin |
245 ## - TITLE STATEMENT | |
Title | Proofs that really count |
Remainder of title | : the art of combinatorial proof |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | Rhode Island, USA: |
Name of publisher, distributor, etc. | Mathematical Association of America, |
Date of publication, distribution, etc. | [c2003] |
300 ## - Physical Description | |
Pages: | 194 p |
490 ## - SERIES STATEMENT | |
Series statement | Dolciani Mathematical Expositions |
Volume/sequential designation | No. 27 |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Chapter 1. Fibonacci Identities<br/>Chapter 2. Gibonacci and Lucas Identities<br/>Chapter 3. Linear Recurrences<br/>Chapter 4. Continued Fractions<br/>Chapter 5. Binomial Identities<br/>Chapter 6. Alternating Sign Binomial Identities<br/>Chapter 7. Harmonic and Stirling Number Identities<br/>Chapter 8. Number Theory<br/>Chapter 9. Advanced Fibonacci & Lucas Identities<br/> |
520 ## - SUMMARY, ETC. | |
Summary, etc. | Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians. --- summary provided by publisher |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Jennifer J. Quinn |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://www.ams.org/books/dol/027/">https://www.ams.org/books/dol/027/</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | |
Koha item type | Book |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Shelving location | Date acquired | Full call number | Accession No. | Koha item type |
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ICTS | Rack No 4 | 03/21/2019 | QA164.8 | 01836 | Book | |||||
ICTS | Rack No 4 | 04/30/2019 | QA164.8 | 02012 | Book |