Free Ebook Vectors Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Mathematics)
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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. [ihtiklibru] _ [ihtiklibru] _ : 10015 : 493 GB; What are the prerequisites to studying general relativity? This question recently appeared on Slashdot: Slashdot posts a fair number of physics stories Many of us myself included don't have the background to understand them Tensor - Wikipedia In mathematics tensors are geometric objects that describe linear relations between geometric vectors scalars and other tensors Elementary examples of such Mathematical Tools for Physics Contents Introduction iv Bibliography vi 1 Basic Stu 1 Trigonometry Parametric Di erentiation Gaussian Integrals erf and Gamma Di erentiating Integrals Tensor -- from Wolfram MathWorld (Arfken 1985 p 159) Tensor notation can provide a very concise way of writing vector and more general identities For example in tensor notation the dot product Maxwell's equations - Wikipedia Maxwell's equations are a set of partial differential equations that together with the Lorentz force law form the foundation of classical electromagnetism International Journal of Engineering Research and International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research Problems and Worked Solutions in Vector Analysis - Dover Books Devoted to fully worked out examples this unique text constitutes a self-contained introductory course in vector analysis Topics include vector addition and [ihtiklibru] _ [ihtiklibru] _ : 14292 : 573 GB; ; d:\_ihtiklibru\201203 Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences Books are recommended on the basis of readability and other pedagogical value
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