Proofs that Really Count (Record no. 59429)
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| 000 -LEADER | |
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| fixed length control field | 02521nam a22002897a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220623131244.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220623b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789393330116 |
| 028 ## - DISTRIBUTOR NAME | |
| Distributor Name | :Donated from NBHM |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.62 BEN |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Benjamin, Arthur |
| 245 ## - TITLE STATEMENT | |
| Title | Proofs that Really Count |
| Remainder of title | : the art of combinatorial proof |
| Statement of responsibility, etc | / Arthur Benjamin |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | [Washington, |
| Name of publisher, distributor, etc | : Mathematical Association of America, |
| Date of publication, distribution, etc | @2003 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 194p |
| Dimensions | 24cm. |
| 365 ## - TRADE PRICE | |
| Price amount | Donated |
| 490 ## - SERIES STATEMENT | |
| Series statement | Dolciani mathematical expositions, no. 27. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | Fibonacci identities --<br/>Gibonacci and Lucas identities --<br/>Linear recurrences --<br/>Continued fractions --<br/>Binomial identities --<br/>Alternating sign binomial identities --<br/>Harmonic and stirling number identities --<br/>Number theory --<br/>Advanced Fibonacci & Lucas identities. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | <br/>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 arguments primarily take one of two forms: - A counting question is posed and answered in two different ways. Since both answers solve the same question they must be equal.-Two different sets are described, counted, and a correspondence found between them. One-to-one correspondences guarantee sets of the same size. Almost one-to-one correspondences take error terms into account. Even many-to-one correspondences are utilized. The book explores more than 200 identities throughout the text and exercises, frequently emphasizing numbers not often 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 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | General principles of mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics -- Combinatorics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics -- Discrete Mathematics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Kombinatorische Analysis |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Benjamin, Arthur |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Quinn, Jennifer J. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Mathematics Departmental Library |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Mathematics Departmental Library | Mathematics Departmental Library | 23/06/2022 | Donated from NBHM | 511.62 BEN | M384 | 23/06/2022 | 23/06/2022 | Mathematics Departmental Library |
