Coverart for item
The Resource The art of the infinite : the pleasures of mathematics, Robert Kaplan and Ellen Kaplan ; illustrations by Ellen Kaplan

The art of the infinite : the pleasures of mathematics, Robert Kaplan and Ellen Kaplan ; illustrations by Ellen Kaplan

Label
The art of the infinite : the pleasures of mathematics
Title
The art of the infinite
Title remainder
the pleasures of mathematics
Statement of responsibility
Robert Kaplan and Ellen Kaplan ; illustrations by Ellen Kaplan
Creator
Contributor
Subject
Language
eng
Summary
The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved the infinity can come in different sizes. The Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the "Republic of Numbers," where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: The intuitionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. "Less than All," wrote William Blake, "cannot satisfy Man." The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination
Cataloging source
DPL
http://library.link/vocab/creatorDate
1933-
http://library.link/vocab/creatorName
Kaplan, Robert
Illustrations
illustrations
Index
index present
LC call number
QA295
LC item number
.A85 2003
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1936-
http://library.link/vocab/relatedWorkOrContributorName
Kaplan, Ellen
http://library.link/vocab/subjectName
  • Series, Infinite
  • Processes, Infinite
Label
The art of the infinite : the pleasures of mathematics, Robert Kaplan and Ellen Kaplan ; illustrations by Ellen Kaplan
Link
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 315-316) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Acknowledgments -- Invitation -- Time and the mind -- How do we hold these truths? -- Designs on a locked chest -- Infinite and the indefinite -- Skipping stones -- Euclid alone -- Longing and the infinite -- Eagle of algebra -- Into the Highlands -- Infinite and the unknown -- Back of beyond -- Abyss
Control code
ocm51962641
Dimensions
25 cm
Extent
ix, 324 pages
Isbn
9780195147438
Lccn
2004266678
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)51962641
Label
The art of the infinite : the pleasures of mathematics, Robert Kaplan and Ellen Kaplan ; illustrations by Ellen Kaplan
Link
Publication
Bibliography note
Includes bibliographical references (pages 315-316) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Acknowledgments -- Invitation -- Time and the mind -- How do we hold these truths? -- Designs on a locked chest -- Infinite and the indefinite -- Skipping stones -- Euclid alone -- Longing and the infinite -- Eagle of algebra -- Into the Highlands -- Infinite and the unknown -- Back of beyond -- Abyss
Control code
ocm51962641
Dimensions
25 cm
Extent
ix, 324 pages
Isbn
9780195147438
Lccn
2004266678
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)51962641

Library Locations

    • Bryn Athyn College, Swedenborg LibraryBorrow it
      2925 College Drive, Bryn Athyn, PA, 19009, US
      40.1343319 -75.0607419
Processing Feedback ...