Vectors, Tensors, and the Basic Equations of Fluid Mechanics \ Rutherford Aris

By:

Aris, Rutherford

Material type: Text

TextPublisher: New Jersey : Prentice-Hall 1962 Edition: 1Description: 286 pContent type:

texto

Media type:

no mediado

Carrier type:

volumen

Subject(s):

DDC classification:

532 A714

Contents:

1. 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

Abstract: This 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.

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Holdings
Item type	Current library	Call number	Copy number	Status	Notes	Date due	Barcode
Libros	Biblioteca UHEMISFERIOS TECNOLOGÍA	532 A714 (Browse shelf(Opens below))	Ej.1	Available	Acervo General de Libros		24660

This 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.

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