Borrow it
Coverart for item
The Resource Looking at Numbers, by Tom Johnson, Franck Jedrzejewski, (electronic resource)

Looking at Numbers, by Tom Johnson, Franck Jedrzejewski, (electronic resource)

Creator
Author
Contributor
Summary
Galileo Galilei said he was reading the book of nature as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply looking at numbers. Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while looking at numbers can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski
Language
eng
Work
Publication
Extent
XVII, 120 pages 139 illustrations, 1 illustrations in color.
Contents
  • Introduction
  • 1. Permutations
  • 1.1 Symmetric Group
  • 1.2 Bruhat Order
  • 1.3 Euler Characteristic
  • 1.4 Group Action
  • 1.5 Permutohedra and Cayley Graphs
  • 1.6 Coxeter Groups
  • 1.7 Homometric Sets
  • 2. Sums
  • 2.1 Integer Partitions
  • References
  • 3. Subsets
  • 3.1 Combinatorial Designs
  • 4 Kirkman's Ladies, a Combinatorial Design
  • 4.1 Steiner and Kirkman Systems
  • 5. Twelve
  • 5.1 (12,4,3)
  • 6. (9,4,3)
  • 6.1 Decomposition of Block Designs
  • 7. 55 Chords
  • 7.1 Chords and Designs.-8. Clarinet Trio
  • 8.1 Strange Fractal Sequences
  • 9. Loops
  • 9.1 Self-Replicating Melodies
  • 9.2 Rhythmic Canons.-10. Juggling
  • 10.1 Juggling, Groups, and Braids
  • 11. Unclassified
  • 11.1 Some Other Designs
  • A Figures
  • References
Isbn
9783034805544
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0554-4
Instance
Label
Looking at Numbers
Title
Looking at Numbers
Statement of responsibility
by Tom Johnson, Franck Jedrzejewski
Creator
Contributor
Author
Subject
Language
eng
Summary
Galileo Galilei said he was reading the book of nature as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply looking at numbers. Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while looking at numbers can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski
Member of
Cataloging source
IT-FiEUI
http://library.link/vocab/creatorName
Johnson, Tom
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Jedrzejewski, Franck.
  • SpringerLink (Online service)
Series statement
Springer eBooks
http://library.link/vocab/subjectName
Mathematics
Label
Looking at Numbers, by Tom Johnson, Franck Jedrzejewski, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0554-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Introduction -- 1. Permutations -- 1.1 Symmetric Group -- 1.2 Bruhat Order -- 1.3 Euler Characteristic -- 1.4 Group Action -- 1.5 Permutohedra and Cayley Graphs -- 1.6 Coxeter Groups -- 1.7 Homometric Sets -- 2. Sums -- 2.1 Integer Partitions -- References -- 3. Subsets -- 3.1 Combinatorial Designs -- 4 Kirkman's Ladies, a Combinatorial Design -- 4.1 Steiner and Kirkman Systems -- 5. Twelve -- 5.1 (12,4,3) -- 6. (9,4,3) -- 6.1 Decomposition of Block Designs -- 7. 55 Chords -- 7.1 Chords and Designs.-8. Clarinet Trio -- 8.1 Strange Fractal Sequences -- 9. Loops -- 9.1 Self-Replicating Melodies -- 9.2 Rhythmic Canons.-10. Juggling -- 10.1 Juggling, Groups, and Braids -- 11. Unclassified -- 11.1 Some Other Designs -- A Figures -- References
Control code
978-3-0348-0554-4
Dimensions
unknown
Extent
XVII, 120 pages 139 illustrations, 1 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034805544
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0554-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1066594503
Label
Looking at Numbers, by Tom Johnson, Franck Jedrzejewski, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0554-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Introduction -- 1. Permutations -- 1.1 Symmetric Group -- 1.2 Bruhat Order -- 1.3 Euler Characteristic -- 1.4 Group Action -- 1.5 Permutohedra and Cayley Graphs -- 1.6 Coxeter Groups -- 1.7 Homometric Sets -- 2. Sums -- 2.1 Integer Partitions -- References -- 3. Subsets -- 3.1 Combinatorial Designs -- 4 Kirkman's Ladies, a Combinatorial Design -- 4.1 Steiner and Kirkman Systems -- 5. Twelve -- 5.1 (12,4,3) -- 6. (9,4,3) -- 6.1 Decomposition of Block Designs -- 7. 55 Chords -- 7.1 Chords and Designs.-8. Clarinet Trio -- 8.1 Strange Fractal Sequences -- 9. Loops -- 9.1 Self-Replicating Melodies -- 9.2 Rhythmic Canons.-10. Juggling -- 10.1 Juggling, Groups, and Braids -- 11. Unclassified -- 11.1 Some Other Designs -- A Figures -- References
Control code
978-3-0348-0554-4
Dimensions
unknown
Extent
XVII, 120 pages 139 illustrations, 1 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034805544
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0554-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1066594503

Subject

Member of

Library Locations

    • Badia FiesolanaBorrow it
      Via dei Roccettini 9, San Domenico di Fiesole, 50014, IT
      43.803074 11.283055

Library Links

Structured data from the Bibframe namespace is licensed under the Creative Commons Attribution 4.0 International License by European University Institute. Additional terms may apply to data associated with third party namespaces.
Processing Feedback ...