000 02583cam a22002654a 4500
008 090603s2006 ne a b 001 0 eng
010 _a2005057176
020 _a9780120887354
035 _a(Sirsi) u1667
040 _aEG-CaNU
_cEG-CaNU
_dEG-CaNU
042 _ancode
082 0 0 _a516.36
_2 22
100 1 _aO'Neill, Barrett.
_92281
245 1 0 _aElementary differential geometry /
_c Barrett O'Neill.
250 _aRev. 2nd ed.
260 _aAmsterdam ;
_a Boston :
_b Elsevier Academic Press,
_c c2006.
300 _axi, 503 p. :
_b ill. ;
_c 24 cm.
504 _aIncludes bibliographical references (p. 467) and index.
505 0 _aPreface Introduction Calculus on Euclidean Space Frame Fields Euclidean Geometry Calculus on a Surface Shape Operators Geometry of Surfaces in R3 Riemannian Geometry Global Structures of Surfaces Appendix Bibliography Answers to Odd-Numbered Exercises Subject Index Table of Contents provided by Publisher. All Rights Reserved.
520 _aWritten primarily for students who have completed the standard first courses in calculus and linear algebra, ELEMENTARY DIFFERENTIAL GEOMETRY, REVISED SECOND EDITION, provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text. *Fortieth anniversary of publication Over 36,000 copies sold worldwide *Accessible, practical yet rigorous approach to a complex topic--also suitable for self-study *Extensive update of appendices on Mathematica and Maple software packages *Thorough streamlining of second edition's numbering system *Fuller information on solutions to odd-numbered problems *Additional exercises and hints guide students in using the latest computer modeling tools
650 0 _aGeometry, Differential.
_971
596 _a1
999 _c730
_d730