Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Mathematics) (English Edition)

Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Mathematics) (English Edition)

作者
Rutherford Aris
语言
英语
出版社
Dover Publications
出版日期
2012年7月31日
纸书页数
638页
电子书格式
epub,pdf,mobi,azw3,txt,fb2,djvu
文件大小
18372 KB
下载次数
4150
更新日期
2023-05-01
运行环境
PC/Windows/Linux/Mac/IOS/iPhone/iPad/iBooks/Kindle/Android/安卓/平板
内容简介

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.

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