Geometry from a differentiable viewpoint / (Record no. 263)

MARC details
000 -LEADER
fixed length control field 02973cam a22003374a 4500
001 - CONTROL NUMBER
control field 17271812
003 - CONTROL NUMBER IDENTIFIER
control field 0
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20151109040305.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120425s2013 enkab b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2012017159
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521116077 (hardback)
International Standard Book Number 9780521133111 (pbk.)
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency DLC
Modifying agency DLC
042 ## - AUTHENTICATION CODE
Authentication code pcc
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641
Item number .M38 2013
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
Edition number 23
Item number MCC/G
084 ## - OTHER CLASSIFICATION NUMBER
Classification number MAT038000
Number source bisacsh
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name McCleary, John,
Dates associated with a name 1952-
245 10 - TITLE STATEMENT
Title Geometry from a differentiable viewpoint /
Statement of responsibility, etc. John McCleary.
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Cambridge [England] ;
-- New York :
Name of publisher, distributor, etc. Cambridge University Press,
Date of publication, distribution, etc. 2013.
300 ## - PHYSICAL DESCRIPTION
Extent xv, 357 p. :
Other physical details ill., maps ;
Dimensions 27 cm.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (p. 341-349) and indexes.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Machine generated contents note: Part I. Prelude and Themes: Synthetic Methods and Results: 1. Spherical geometry; 2. Euclid; 3. The theory of parallels; 4. Non-Euclidean geometry; Part II. Development: Differential Geometry: 5. Curves in the plane; 6. Curves in space; 7. Surfaces; 8. Curvature for surfaces; 9. Metric equivalence of surfaces; 10. Geodesics; 11. The Gauss-Bonnet Theorem; 12. Constant-curvature surfaces; Part III. Recapitulation and Coda: 13. Abstract surfaces; 14. Modeling the non-Euclidean plane; 15. Epilogue: where from here?.
520 ## - SUMMARY, ETC.
Summary, etc. "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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Differential.
Topical term or geographic name as entry element MATHEMATICS / Topology.
Source of heading or term bisacsh
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN)
a 7
b cbc
c orignew
d 1
e ecip
f 20
g y-gencatlg
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Text Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
Not withdrawn Not Lost Dewey Decimal Classification not damaged   Central Library, IIT Bhubaneswar Central Library, IIT Bhubaneswar 09/11/2015   516.36 MCC/G TB2326 09/11/2015 09/11/2015 Text Book
Not withdrawn Not Lost Dewey Decimal Classification not damaged   Central Library, IIT Bhubaneswar Central Library, IIT Bhubaneswar 09/11/2015   516.36 MCC/G TB2327 09/11/2015 09/11/2015 Course Reserve
Not withdrawn Not Lost Dewey Decimal Classification not damaged   Central Library, IIT Bhubaneswar Central Library, IIT Bhubaneswar 09/11/2015   516.36 MCC/G TB2328 19/07/2016 09/11/2015 Text Book
Not withdrawn Not Lost Dewey Decimal Classification not damaged   Central Library, IIT Bhubaneswar Central Library, IIT Bhubaneswar 09/11/2015   516.36 MCC/G TB2329 09/11/2015 09/11/2015 Text Book

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