000			02172nam a22002297a 4500
003			OSt
005			20241105124131.0
008			220621b |||||||| |||| 00| 0 eng d
020			_a9783540761761
040			_cDonation by Prof. A S Vasudeva Murthy _aICTS-TIFR
050			_aQA303
100			_aSean Dineen
245			_aMultivariate calculus and geometry _b: second edition
250			_a2nd ed.
260			_aNew York: _bSpinger-Verlag, _c[c2001]
300			_a254 p.
490			_aSpringer undergraduate mathematical series
505			_aChapter 1. Introduction to differentiable functions Chapter 2. Level seats and tangent spaces Chapter 3. Lagange multiplers Chapter 4. Maximum and minima on open sets Chapter 5. Curves in Rn Chapter 6. Line integrals Chapter 7. The frenet-serrent equations Chapter 8. Geometry of curves in R3 Chapter 9. Double integration Chapter 10. Parametrized surfaces in R3 Chapter 11. Surface area Chapter 12. Surface integrals Chapter 13. Stokes theorem Chapter 14. Triple integrals Chapter 15. The divergence theorem Chapter 16. Geometry curvature Chapter17. Gaussian curvature Chapter 18. Geodesic curvature
520			_aAimed primarily at higher level undergraduates in the mathematical sciences, the author provides the reader with a deep understanding of the uses and limitations of multivariate calculus by the integrated use of geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. On reading this book the student will acquire the confidence and techniques necessary to tackle new problems. In this revised edition, which includes additional exercises and expanded solutions, Seán Dineen gives a solid description of the basic concepts, via simple familiar examples which are then tested in technically demanding situations. The author recognises the varied backgrounds students bring to the subject and only assumes the minimal prerequisite knowledge necessary for a comprehensive and unified understanding of the Differential, Integral and Geometric Calculus of Several Variables.---Summary provided by publisher
650			_aMathematics
942			_2lcc _cBK
999			_c3166 _d3166