The Resource Single digits : in praise of small numbers, Marc Chamberland
Single digits : in praise of small numbers, Marc Chamberland
Resource Information
The item Single digits : in praise of small numbers, Marc Chamberland represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Single digits : in praise of small numbers, Marc Chamberland represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 bitesized chunksespecially 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
 Language
 eng
 Extent
 1 online resource (xii, 226 pages)
 Contents

 Chapter 6. The Number Six
 Chapter 7. The Number Seven
 Chapter 8. The Number Eight
 Chapter 9. The Number Nine
 Chapter 10. Solutions
 Further reading
 Credits for illustrations
 Index
 Frontmatter
 Contents
 Preface
 Chapter 1. The Number One
 Chapter 2. The Number Two
 Chapter 3. The Number Three
 Chapter 4. The Number Four
 Chapter 5. The Number Five
 Isbn
 9781400865697
 Label
 Single digits : in praise of small numbers
 Title
 Single digits
 Title remainder
 in praise of small numbers
 Statement of responsibility
 Marc Chamberland
 Subject

 Electronic books
 MATHEMATICS  Essays
 MATHEMATICS  PreCalculus
 MATHEMATICS  Reference
 MATHEMATICS / General
 Mathematical analysis
 Mathematical analysis
 Mathematics
 Combinatorial analysis
 Sequences (Mathematics)
 Sequences (Mathematics)
 Trivia and miscellanea
 Trivia and miscellanea
 Mathematics  Miscellanea
 Combinatorial analysis
 Language
 eng
 Summary
 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 bitesized chunksespecially 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
 Cataloging source
 E7B
 http://library.link/vocab/creatorDate
 1964
 http://library.link/vocab/creatorName
 Chamberland, Marc
 Illustrations

 illustrations
 maps
 Index
 index present
 Language note
 In English
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 EBLSchweitzer
 http://library.link/vocab/subjectName

 Mathematical analysis
 Sequences (Mathematics)
 Combinatorial analysis
 Mathematics
 MATHEMATICS
 MATHEMATICS
 MATHEMATICS
 Combinatorial analysis
 Mathematical analysis
 Mathematics
 Sequences (Mathematics)
 MATHEMATICS / General
 Label
 Single digits : in praise of small numbers, Marc Chamberland
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Chapter 6. The Number Six
 Chapter 7. The Number Seven
 Chapter 8. The Number Eight
 Chapter 9. The Number Nine
 Chapter 10. Solutions
 Further reading
 Credits for illustrations
 Index
 Frontmatter
 Contents
 Preface
 Chapter 1. The Number One
 Chapter 2. The Number Two
 Chapter 3. The Number Three
 Chapter 4. The Number Four
 Chapter 5. The Number Five
 Control code
 ocn909908463
 Dimensions
 unknown
 Extent
 1 online resource (xii, 226 pages)
 Form of item
 online
 Isbn
 9781400865697
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400865697
 Other physical details
 illustrations, map
 http://library.link/vocab/ext/overdrive/overdriveId

 778640
 22573/ctvc668cp
 Specific material designation
 remote
 System control number
 (OCoLC)909908463
 Label
 Single digits : in praise of small numbers, Marc Chamberland
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Chapter 6. The Number Six
 Chapter 7. The Number Seven
 Chapter 8. The Number Eight
 Chapter 9. The Number Nine
 Chapter 10. Solutions
 Further reading
 Credits for illustrations
 Index
 Frontmatter
 Contents
 Preface
 Chapter 1. The Number One
 Chapter 2. The Number Two
 Chapter 3. The Number Three
 Chapter 4. The Number Four
 Chapter 5. The Number Five
 Control code
 ocn909908463
 Dimensions
 unknown
 Extent
 1 online resource (xii, 226 pages)
 Form of item
 online
 Isbn
 9781400865697
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400865697
 Other physical details
 illustrations, map
 http://library.link/vocab/ext/overdrive/overdriveId

 778640
 22573/ctvc668cp
 Specific material designation
 remote
 System control number
 (OCoLC)909908463
Subject
 Electronic books
 MATHEMATICS  Essays
 MATHEMATICS  PreCalculus
 MATHEMATICS  Reference
 MATHEMATICS / General
 Mathematical analysis
 Mathematical analysis
 Mathematics
 Combinatorial analysis
 Sequences (Mathematics)
 Sequences (Mathematics)
 Trivia and miscellanea
 Trivia and miscellanea
 Mathematics  Miscellanea
 Combinatorial analysis
Genre
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/SingledigitsinpraiseofsmallnumbersMarc/U0LEZncM6M/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/SingledigitsinpraiseofsmallnumbersMarc/U0LEZncM6M/">Single digits : in praise of small numbers, Marc Chamberland</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>