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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. [Publisher]

Fluid dynamics. --- Calculus of tensors. --- Calculus of tensors --- Fluid dynamics --- Vector analysis --- #TELE:SISTA --- Algebra, Universal --- Mathematics --- Numbers, Complex --- Quaternions --- Spinor analysis --- Vector algebra --- Dynamics --- Fluid mechanics --- Absolute differential calculus --- Analysis, Tensor --- Calculus, Absolute differential --- Calculus, Tensor --- Tensor analysis --- Tensor calculus --- Geometry, Differential --- Geometry, Infinitesimal --- Vector analysis. --- Fluides, Dynamique des --- Calcul tensoriel --- Analyse vectorielle --- Fluides, Dynamique des. --- Calcul tensoriel. --- Analyse vectorielle. --- Dynamique des fluides.

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519.87 --- Decomposition method --- Linear programming --- Matrices --- Production scheduling --- Programming (Mathematics) --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Method, Decomposition --- Operations research --- System analysis --- Mathematical models for operational research --- Decomposition method. --- Linear programming. --- 519.87 Mathematical models for operational research

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51-7 --- 512.642 --- 512.54 --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Vector spaces. Vector space theory --- Groups. Group theory --- 512.54 Groups. Group theory --- 512.642 Vector spaces. Vector space theory --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Group theory --- Vector spaces --- Linear spaces --- Linear vector spaces --- Algebras, Linear --- Functional analysis --- Vector analysis --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Groupes, Théorie des --- Groupes, Théorie des --- Application des groupes a la physique