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Elementary differential geometry / (Record no. 256)

MARC details
000 -LEADER
fixed length control field 02425cam a2200229 a 4500
001 - CONTROL NUMBER
control field 834
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200611103823.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 051202s2006 ne a b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0120887355 (acidfree paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780120887354 (hbk)
040 ## - CATALOGING SOURCE
Transcribing agency DLC
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.36
Edition number 22
Item number N411
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name O'Neill, Barrett.
245 10 - TITLE STATEMENT
Title Elementary differential geometry /
Statement of responsibility, etc Barrett O'Neill.
250 ## - EDITION STATEMENT
Edition statement Rev. 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Amsterdam :
-- Boston :
Name of publisher, distributor, etc Elsevier Academic Press,
Date of publication, distribution, etc c2006.
300 ## - PHYSICAL DESCRIPTION
Extent xi, 503 p.
Other physical details ill. ;
Dimensions 24 cm.
500 ## - GENERAL NOTE
General note Includes bibliographical references (p. 467) and index.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Differential.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction <br/><br/>Chapter 1: calculus on euclidean space: <br/>Euclidean space. Tangent vectors. Directional derivatives. Curves in r3. 1-forms. Differential forms. Mappings;<br/><br/>Chapter 2: frame fields: <br/>Dot product. Curves. The frenet formulas. Arbitraryspeed curves. Covariant derivatives. Frame fields. Connection forms. The structural equations. ;<br/><br/>Chapter 3: euclidean geometry: <br/>Isometries of r3. The tangent map of an isometry. Orientation. Euclidean geometry. Congruence of curves. ;<br/><br/>Chapter 4: calculus on a surface: <br/>Surfaces in r3. Patch computations. Differentiable functions and tangent vectors. Differential forms on a surface. Mappings of surfaces. Integration of forms. Topological properties. Manifolds.;<br/><br/>Chapter 5: shape operators: <br/>The shape operator of m r3. Normal curvature. Gaussian curvature. Computational techniques. The implicit case. Special curves in a surface. Surfaces of revolution. ;<br/><br/>Chapter 6: geometry of surfaces in r3:<br/>The fundamental equations. Form computations. Some global theorems. Isometries and local isometries. Intrinsic geometry of surfaces in r3. Orthogonal coordinates. Integration and orientation. Total curvature. Congruence of surfaces. ;<br/><br/>Chapter 7: riemannian geometry: geometric surfaces. Gaussian curvature. Covariant derivative. Geodesics. Clairaut parametrizations. The gauss-bonnet theorem. Applications of gauss-bonnet. ;<br/><br/>Chapter 8: global structures of surfaces: length-minimizing properties of geodesics. Complete surfaces. Curvature and conjugate points. Covering surfaces. Mappings that preserve inner products. Surfaces of constant curvature. Theorems of bonnet and hadamard. ;<br/><br/>Appendix <br/><br/>Bibliography <br/><br/>Answers to odd-numbered exercises <br/><br/>Subject index<br/>
Holdings
Withdrawn status Damaged status Not for loan Home library Current library Date acquired Source of acquisition Full call number Barcode Date last seen Price effective from Koha item type
      UE-Central Library UE-Central Library 29.05.2018 U.E. 516.36 N411 T834 27.09.2023 29.05.2018 Books
      UE-Central Library UE-Central Library 17.09.2019 U.E.13520 516.36 N411 T824 17.09.2019 17.09.2019 Books
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