Single Digits: In Praise of Small Numbers
The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2015]
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| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 Volltext |
| Zusammenfassung: | The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics.Each chapter focuses on a single digit, beginning with easy concepts that become more advanced as the chapter progresses. Chamberland covers vast numerical territory, such as illustrating the ways that the number three connects to chaos theory, an unsolved problem involving Egyptian fractions, the number of guards needed to protect an art gallery, and problematic election results. He considers the role of the number seven in matrix multiplication, the Transylvania lottery, synchronizing signals, and hearing the shape of a drum. Throughout, he introduces readers to an array of puzzles, such as perfect squares, the four hats problem, Strassen multiplication, Catalan’s conjecture, and so much more. The book’s short sections can be read independently and digested in bite-sized chunks—especially good for learning about the Ham Sandwich Theorem and the Pizza Theorem. Appealing to high school and college students, professional mathematicians, and those mesmerized by patterns, this book shows that single digits offer a plethora of possibilities that readers can count on |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed September 10 2015) |
| Beschreibung: | 240 pages) illustrations |
| ISBN: | 9781400865697 |
| DOI: | 10.1515/9781400865697 |
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| 520 | |a The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics.Each chapter focuses on a single digit, beginning with easy concepts that become more advanced as the chapter progresses. Chamberland covers vast numerical territory, such as illustrating the ways that the number three connects to chaos theory, an unsolved problem involving Egyptian fractions, the number of guards needed to protect an art gallery, and problematic election results. He considers the role of the number seven in matrix multiplication, the Transylvania lottery, synchronizing signals, and hearing the shape of a drum. Throughout, he introduces readers to an array of puzzles, such as perfect squares, the four hats problem, Strassen multiplication, Catalan’s conjecture, and so much more. The book’s short sections can be read independently and digested in bite-sized chunks—especially good for learning about the Ham Sandwich Theorem and the Pizza Theorem. Appealing to high school and college students, professional mathematicians, and those mesmerized by patterns, this book shows that single digits offer a plethora of possibilities that readers can count on | ||
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| spelling | Chamberland, Marc Verfasser aut Single Digits In Praise of Small Numbers Marc Chamberland Princeton, N.J. Princeton University Press [2015] © 2015 240 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed September 10 2015) The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics.Each chapter focuses on a single digit, beginning with easy concepts that become more advanced as the chapter progresses. Chamberland covers vast numerical territory, such as illustrating the ways that the number three connects to chaos theory, an unsolved problem involving Egyptian fractions, the number of guards needed to protect an art gallery, and problematic election results. He considers the role of the number seven in matrix multiplication, the Transylvania lottery, synchronizing signals, and hearing the shape of a drum. Throughout, he introduces readers to an array of puzzles, such as perfect squares, the four hats problem, Strassen multiplication, Catalan’s conjecture, and so much more. The book’s short sections can be read independently and digested in bite-sized chunks—especially good for learning about the Ham Sandwich Theorem and the Pizza Theorem. Appealing to high school and college students, professional mathematicians, and those mesmerized by patterns, this book shows that single digits offer a plethora of possibilities that readers can count on In English Geschichte gnd rswk-swf Combinatorial analysis Mathematical analysis Mathematics, other Mathematics Mathematik Sequences (Mathematics) Mathematics / Essays bisacsh Mathematics / Pre-Calculus bisacsh Mathematics / Reference bisacsh Mathematics Miscellanea Zahl (DE-588)4067271-2 gnd rswk-swf Mathematisches Problem (DE-588)4114530-6 gnd rswk-swf Ziffer (DE-588)4190809-0 gnd rswk-swf Ziffer (DE-588)4190809-0 s Zahl (DE-588)4067271-2 s Mathematisches Problem (DE-588)4114530-6 s Geschichte z 1\p DE-604 https://doi.org/10.1515/9781400865697 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chamberland, Marc Single Digits In Praise of Small Numbers Combinatorial analysis Mathematical analysis Mathematics, other Mathematics Mathematik Sequences (Mathematics) Mathematics / Essays bisacsh Mathematics / Pre-Calculus bisacsh Mathematics / Reference bisacsh Mathematics Miscellanea Zahl (DE-588)4067271-2 gnd Mathematisches Problem (DE-588)4114530-6 gnd Ziffer (DE-588)4190809-0 gnd |
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| title | Single Digits In Praise of Small Numbers |
| title_auth | Single Digits In Praise of Small Numbers |
| title_exact_search | Single Digits In Praise of Small Numbers |
| title_full | Single Digits In Praise of Small Numbers Marc Chamberland |
| title_fullStr | Single Digits In Praise of Small Numbers Marc Chamberland |
| title_full_unstemmed | Single Digits In Praise of Small Numbers Marc Chamberland |
| title_short | Single Digits |
| title_sort | single digits in praise of small numbers |
| title_sub | In Praise of Small Numbers |
| topic | Combinatorial analysis Mathematical analysis Mathematics, other Mathematics Mathematik Sequences (Mathematics) Mathematics / Essays bisacsh Mathematics / Pre-Calculus bisacsh Mathematics / Reference bisacsh Mathematics Miscellanea Zahl (DE-588)4067271-2 gnd Mathematisches Problem (DE-588)4114530-6 gnd Ziffer (DE-588)4190809-0 gnd |
| topic_facet | Combinatorial analysis Mathematical analysis Mathematics, other Mathematics Mathematik Sequences (Mathematics) Mathematics / Essays Mathematics / Pre-Calculus Mathematics / Reference Mathematics Miscellanea Zahl Mathematisches Problem Ziffer |
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