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The Resource Geometry from a differentiable viewpoint, John McCleary

Geometry from a differentiable viewpoint, John McCleary

Label
Geometry from a differentiable viewpoint
Title
Geometry from a differentiable viewpoint
Statement of responsibility
John McCleary
Creator
Subject
Language
eng
Summary
"The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Hugyens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics, Euclid's geometry of space, further properties of cycloids and map projections, and the use of transformations such as the reflections of the Beltrami disk"--
Assigning source
Provided by publisher
Cataloging source
DLC
http://library.link/vocab/creatorDate
1952-
http://library.link/vocab/creatorName
McCleary, John
Dewey number
516.3/6
Illustrations
  • illustrations
  • maps
Index
index present
LC call number
QA641
LC item number
.M38 2013
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Geometry, Differential
  • MATHEMATICS / Topology
Label
Geometry from a differentiable viewpoint, John McCleary
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 341-349) and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Control code
794640236
Dimensions
27 cm
Edition
2nd ed.
Extent
xv, 357 pages
Isbn
9780521133111
Isbn Type
(pbk.)
Lccn
2012017159
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations, maps
System control number
(OCoLC)794640236
Label
Geometry from a differentiable viewpoint, John McCleary
Publication
Bibliography note
Includes bibliographical references (pages 341-349) and indexes
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Control code
794640236
Dimensions
27 cm
Edition
2nd ed.
Extent
xv, 357 pages
Isbn
9780521133111
Isbn Type
(pbk.)
Lccn
2012017159
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations, maps
System control number
(OCoLC)794640236

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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