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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230831b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789811215971 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
513.21 |
| Item number |
GAS |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Gasarch, William I. |
| 245 ## - TITLE STATEMENT |
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| Title |
Mathematical muffin morsels : nobody wants a small piece |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
World Scientific, |
| Date of publication, distribution, etc |
2020 |
| Place of publication, distribution, etc |
New Jersey : |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xvi, 210 p. ; |
| Other physical details |
ill., (some color), |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
28.00 |
| Price type code |
USD |
| Unit of pricing |
85.40 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Problem solving in mathematics and beyond, |
| Volume number/sequential designation |
2591-7234 ; v.16 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Suppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5/3. You could cut each muffin into 1/3-1/3-1/3 and give each student five 1/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1/3. Is there a way to divide five muffins for three students so that everyone gets 5/3, and all pieces are larger than 1/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5/12. Is there a better division? Spoiler alert: No. In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for students so that everyone gets m/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal. This problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. However, the math is elementary enough for an advanced high school student. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Buddy-match sequence |
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| Topical term or geographic name as entry element |
Duality theorem |
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| Topical term or geographic name as entry element |
Fair divisions |
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| Topical term or geographic name as entry element |
Linear programming |
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| Topical term or geographic name as entry element |
Mixed integer programming |
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| Topical term or geographic name as entry element |
NP-complete |
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| Topical term or geographic name as entry element |
Pigeon Hole Principle |
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| Topical term or geographic name as entry element |
Simplex method |
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| Topical term or geographic name as entry element |
Combinatorics |
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| Topical term or geographic name as entry element |
Optimization theory |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Metz, Erik |
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| Personal name |
Prinz, Jacob |
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| Personal name |
Smolyak, Daniel |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |