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040 _aUHEM
_bspa
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_dUHEM
_erda
082 0 4 _a532 A714
100 1 _aAris, Rutherford
245 1 0 _aVectors, Tensors, and the Basic Equations of Fluid Mechanics \ Rutherford Aris
250 _a1
264 3 1 _aNew Jersey :
_bPrentice-Hall 1962
300 _a286 p.
336 _2rdacontent
_atexto
_btxt
337 _2rdamedia
_ano mediado
_bn
338 _2rdacarrier
_avolumen
_bnc
505 0 _a1. Introduction 2. Cartesian Vectors and Tensors: Their Algebra 3. Cartesian Vectors and Tensors: Their Calculus 4. The Kinematics of Fluid Motion 5. Stress in Fluids 6. Equations of motion and Energy on Cartesian Coordinates 7. Tensors 8. Equations of Fluid Flow in Euclidean space 9. The Geometry of Surfaces in Space 10. The Equations of Surface Flow 11. Equations for Reacting Fluids 12. Appendix A. 13. Appendix B. 14. Index
520 3 _aThis excellent text develops and utilizes mathematical concepts to illuminate physical theories. Directed primarily to engineers, physicists, and applied mathematicians at advanced undergraduate and graduate levels, it applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics.Essentially an introductory text, intended for readers with some acquaintance with the calculus of partial differentiation and multiple integration, it first reviews the necessary background material, then proceeds to explore the algebra and calculus of Cartesian vectors and tensors. Subsequent chapters take up the kinematics of fluid motion, stress in fluids, equations of motion and energy in Cartesian coordinates, tensors, and equations of fluid flow in Euclidean space.The concluding chapters discuss the geometry of surfaces in space, the equations of surface flow and equations for reacting fluids. Two invaluable appendixes present a resume of 3-dimensional coordinate geometry and matrix theory and another of implicit functions and Jacobians. A generous number of exercises are an integral part of the presentation, providing numerous opportunities for manipulation and extension of the concepts presented.
546 _aInglés
650 1 4 _aECUACIONES
650 1 4 _aMECÁNICA DE FLUIDOS
942 _2ddc
_cBK
999 _c19854
_d19854