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.

Note: I am halfway through the book, about to go into the chapter on tensors, though I am already familiar with them .

Note: I am halfway through the book, about to go into the chapter on tensors, though I am already familiar with them, having already gone through Pavel Grinfeld's excellent "Introduction to Tensor Analysis and the Calculus of Moving Surfaces". The first half of the book, which is aimed at introducing the basic equations of fluid mechanics in Cartesian coordinates, appears to be a partially abridged retelling - with a preference for tensor ( .

Calculus of tensors. inlibrary; printdisabled; ; china. Books for People with Print Disabilities. Internet Archive Books. Uploaded by Lotu Tii on August 20, 2012. SIMILAR ITEMS (based on metadata). Terms of Service (last updated 12/31/2014).

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. Numerous exercises appear throughout the text. To read this book, upload an EPUB or FB2 file to Bookmate. Издательство: Dover Publications. ISBN 13: 9780486661100. Series: Dover Books on Mathematics. File: PDF, . 0 MB. Читать онлайн.

Basic Fluid Mechanics. J J Sharp Continuum mechanics in general, and fluid mechanics in particular, provide mathematical models of the real world in which the engineer. Vector and Tensor Analysis with Applications. Russell was referring to the logical foundations of pure mathematics, to which he had made his own contributions, and constructing a paradox which would throw into relief the debate that was then at its height. There are, of course, regions of pure mathematics which have developed into such abstraction as to have no apparent contact with the commonplace world. Continuum mechanics in general, and fluid mechanics in particular, provide mathematical models of the real world in which the engineer can have a high degree of confidence. The idea of a continuum is an abstraction. Fun, festive, and engaging holiday coloring books for adults and children. Bestselling series of coloring books for adults offers highly detailed illustrations on premium paper – relax and color. Coloring books for adults and children. For all ages and levels. Beautifully illustrated, low-priced Dover coloring on an amazing variety of subjects. Visit Dover Coloring. Show me . Teacher's Resources. Award-Winning Children's Books.

Paperback, 320 pages. Published January 1st 1990 by Dover Publications.

Details (if other): Cancel. 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. Paperback, 320 pages. Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Engineering).

this is really a nice book if you want to work on fluid mechanics. Series: Dover Books on Engineering. it provides you the equations of fluid mechanics in different coordinate system. Categories: Mathematics. Publisher: Dover Publications. Pages: 314. ISBN 10: 0486661105.

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.