The Resource Geometry from a differentiable viewpoint, John McCleary
Geometry from a differentiable viewpoint, John McCleary
Resource Information
The item Geometry from a differentiable viewpoint, John McCleary represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Geometry from a differentiable viewpoint, John McCleary represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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, nonEuclidean 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 nonEuclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as spacetime. 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"
 Language
 eng
 Edition
 2nd ed.
 Extent
 xv, 357 pages
 Isbn
 9780521133111
 Label
 Geometry from a differentiable viewpoint
 Title
 Geometry from a differentiable viewpoint
 Statement of responsibility
 John McCleary
 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, nonEuclidean 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 nonEuclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as spacetime. 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
 Bibliography note
 Includes bibliographical references (pages 341349) 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
 Bibliography note
 Includes bibliographical references (pages 341349) 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/GeometryfromadifferentiableviewpointJohn/rfVdfIsInY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/GeometryfromadifferentiableviewpointJohn/rfVdfIsInY/">Geometry from a differentiable viewpoint, John McCleary</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>