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 |