Vectors, Tensors and the Basic Equations of Fluid Mechanics

L. Tornheim, Rutherford Aris

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English

Dover
01 January 1990

Mathematics & Sciences; Calculus & mathematical analysis

Series: Dover Books on Mathema 1.4tics

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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.

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.

By: L. Tornheim, Rutherford Aris
Imprint: Dover
Country of Publication: United States
Edition: New edition
Dimensions: Height: 217mm, Width: 142mm, Spine: 17mm
Weight: 390g
ISBN: 9780486661100
ISBN 10: 0486661105
Series: Dover Books on Mathema 1.4tics
Pages: 320
Publication Date: 01 January 1990
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Unspecified