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Engineering - Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein’s Special and General Theory of Relativity

Description

Book Synopsis: 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.

Details

Looking to deepen your understanding of tensor analysis in engineering and physics? Look no further! Our Tensor Analysis for Engineers and Physicists is the ultimate guide to mastering this complex subject. With applications to continuum mechanics, turbulence, and Einstein's Special and General Theory of Relativity, this book covers all the essential concepts you need to know.

By delving into tensor analysis, you'll gain a comprehensive understanding of how to analyze and interpret complex physical phenomena. Whether you're a student studying mechanical, electrical, aerospace, or civil engineering, or a theoretical physics enthusiast, this textbook caters to your needs.

But it's not just for students and enthusiasts. Professionals who rely on CFD-simulation in their everyday work will also find this book invaluable. Gain a deeper insight into the underlying physics of the commercial codes you use and enhance your skills and knowledge in the process.

One of the highlights of this textbook is its careful selection of application examples. From transforming the Cartesian coordinate system into a curvilinear one to exploring conservation laws of continuum mechanics and turbulence physics, you'll be thoroughly prepared to tackle even the most complex tensor equations, including the Einstein tensor equations.

Ready to take your understanding of tensor analysis and its applications to the next level? Start reading Tensor Analysis for Engineers and Physicists today and unleash your true potential!

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