Vectors, Tensors and the Basic Equations of Fluid Mechanics (eBook)

Rutherford Aris (Autor)

eBook Download: EPUB

2012
Dover Publications (Verlag)
9780486134895 (ISBN)

Infos

Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

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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.

Produkt-Details

• Erscheint lt. Verlag: 28.8.2012
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Schlagworte: Analytic • Angular momentum • books on angular momenta • books on boundary layers • books on coordinate systems • books on curvatures • books on deformations • books on derivations • books on engineering students • books on engineers • books on equations • books on fluid dynamics • books on fluid flows • books on fluids • books on gradients • books on hartog • books on hydrodynamics • books on kinematics • books on kinetic energies • books on lagrangians • books on linear algebras • books on mechanical engineerings • books on notations • books on physics • books on properties • books on provisions • books on statics • books on supplements • books on tensor analysis • books on tensor calculus • books on tensors • books on thermodynamics • books on torques • books on undergraduate engineerings • books on vectors • books on viscosities • boundary layer • Cartesian • Constitutive • coordinate system • Curvature • Deformation • Derivation • Differential • engineer • engineering students • Equations • Fluid Dynamics • Fluid Flow • Fluids • Gradient • Hartog • Hydrodynamics • Kinematics • kinetic energy • Lagrangian • linear algebra • Mathematical • mechanical engineering • Newtonian • Notation • Physics • Properties • Provision • statics • Supplement • Symmetric • Tensor Analysis • tensor calculus • Tensors • thermodynamics • torque • undergraduate engineering • Vectors • viscosity • viscous
• ISBN-13: 9780486134895 / 9780486134895