Item Details
The Topological Imagination: Spheres, Edges, and Islands
Angus Fletcher
 Format
 Book
 Published
 Cambridge, Massachusetts : Harvard University Press, 2016.
 Language
 English
 ISBN
 9780674504561, 0674504569
 Summary
 "Ordinary speech and the mathematical language of numbers appear to be light years apart, but this book counters that belief. The author joins two commonly separated domains of human creativitythe emotionally charged poetic imagination and the cool mathematical science of topology, which envisions how shapes change when objects are bent, twisted, or stretched without losing an invariant contact with their original forms. For topology, donuts and coffee mugs are "the same, " like musical variations on a persistent theme. Nine concise chapters indicate how such twin powers create a concern with value. Poetry, philosophy, fiction, and history all use metaphors to stretch our ability to interpret, their freedom derived from stressing metaphoric disparity, while topology strictly treats quality rather than measurement and quantity. Shakespearean speeches echo throughout this book, for their variations on quality mark discoveries by the great mathematician Leonhard Euler. In solving an old riddle, The Bridges of Königsberg, and through his Polyhedron Theorem, he demonstrated how shape could preserve "permanence in change, " like an aging though familiar human face. Current global concerns involve the connection between words, metaphors, mathematics, and transformational powers, among them our world climate; our oddly edgeless planet being structured by edges; theory of cyclical history reflecting biology; the Königsberg Bridges solution, describing networks and hence our modern algorithmic computation; the circulatory patterns of life in our biosphere; the spherical aspect of human time; the ethics derived from equitable scales; the significant topology of islands and their role in evolutionary theory and the human imagination."Provided by publisher.
 Contents
 Topology and the idea of form
 The mind imagining
 Disparities in metaphor
 Euler discovers the first edge
 Vico and the cycles of human history
 "The round earth's imagined corners"
 Notes on a family of edges
 Shape and the ethics of scale
 No man is an island.
 Description
 215 pages : illustrations ; 25 cm
 Notes
 Includes bibliographical references (pages 197208) and index.
 Technical Details

 Access in Virgo Classic
 Staff View
LEADER 03392pam a2200445 i 4500001 u6730762003 SIRSI005 20160504153949.0008 150904t20162016maua b 001 0 eng ca 2015032348a 9780674504561a 0674504569a (OCoLC)921994925a pcca MH/DLC b eng e rda c HLS d DLC d OCLCO d YDXCP d BTCTA d OCLCF d BDX d CDXa QA611 b .F495 2016a 514 2 23a Fletcher, Angus, d 1930 e author.a The topological imagination : b spheres, edges, and islands / c Angus Fletcher.a Cambridge, Massachusetts : b Harvard University Press, c 2016.c ©2016a 215 pages : b illustrations ; c 25 cma text 2 rdacontenta unmediated 2 rdamediaa volume 2 rdacarriera Includes bibliographical references (pages 197208) and index.a Topology and the idea of form  The mind imagining  Disparities in metaphor  Euler discovers the first edge  Vico and the cycles of human history  "The round earth's imagined corners"  Notes on a family of edges  Shape and the ethics of scale  No man is an island.a "Ordinary speech and the mathematical language of numbers appear to be light years apart, but this book counters that belief. The author joins two commonly separated domains of human creativitythe emotionally charged poetic imagination and the cool mathematical science of topology, which envisions how shapes change when objects are bent, twisted, or stretched without losing an invariant contact with their original forms. For topology, donuts and coffee mugs are "the same, " like musical variations on a persistent theme. Nine concise chapters indicate how such twin powers create a concern with value. Poetry, philosophy, fiction, and history all use metaphors to stretch our ability to interpret, their freedom derived from stressing metaphoric disparity, while topology strictly treats quality rather than measurement and quantity. Shakespearean speeches echo throughout this book, for their variations on quality mark discoveries by the great mathematician Leonhard Euler. In solving an old riddle, The Bridges of Königsberg, and through his Polyhedron Theorem, he demonstrated how shape could preserve "permanence in change, " like an aging though familiar human face. Current global concerns involve the connection between words, metaphors, mathematics, and transformational powers, among them our world climate; our oddly edgeless planet being structured by edges; theory of cyclical history reflecting biology; the Königsberg Bridges solution, describing networks and hence our modern algorithmic computation; the circulatory patterns of life in our biosphere; the spherical aspect of human time; the ethics derived from equitable scales; the significant topology of islands and their role in evolutionary theory and the human imagination."Provided by publisher.a Topology.a Mathematics x Philosophy.a Art and science.a Knowledge, Theory of.a 8a QA611 .F495 2016 w LC i X031795031 l STACKS m MATH t BOOK
Availability
Library  Location  Map  Availability  Call Number 

Math  Stacks  N/A  Available 
QA611 .F495 2016 