Schobeiri M. Tensor Analysis for Engineers and Physicists...2021 torrent

Textbook in PDF format

This book unies the common tensor analytical aspects in engineering and physics. Using tensor analysis enables the reader to understand complex physical phenomena from the basic principles in continuum mechanics including the turbulence, its correlations and modeling to the complex Einstein' tensor equation. The development of General Theory of Relativity and the introduction of spacetime geometry would not have been possible without the use of tensor analysis. This textbook is primarily aimed at students of mechanical, electrical, aerospace, civil and other engineering disciplines as well as of theoretical physics. It also covers the special needs of practicing professionals who perform CFD-simulation on a routine basis and would like to know more about the underlying physics of the commercial codes they use. Furthermore, it is suitable for self-study, provided that the reader has a sufficient knowledge of differential and integral calculus. Particular attention was paid to selecting the application examples. The transformation of Cartesian coordinate system into curvilinear one and the subsequent applications to conservation laws of continuum mechanics and the turbulence physics prepares the reader for fully understanding the Einstein tensor equations, which exhibits one of the most complex tensor equation in theoretical physics.
Preface
Vectors and Tensors
Transformation of Tensors
Differential Operators in Continuum Mechanics
Tensors and Kinematics
Differential Balances in Continuum Mechanics
Tensor Operations in Orthogonal Curvilinear Coordinate Systems
Tensor Application, Navier–Stokes Equation
Curves, Curvature, Surfaces, Geodesics
Turbulent Flow, Modeling
Special Theory of Relativity
Tensors in General Theory of Relativity