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Dieses Lehrbuch stellt eine umfassende und leicht verstandliche Einfuhrung in die Tensoranalysis dar, die hier als Oberbegriff von klassischer Tensoranalysis und Tensoralgebra zu verstehen ist und die in vielen Anwendungen der Physik und der Ingenieurwissenschaften benotigt wird. Es vermittelt die notigen algebraischen Hilfsmittel und enthalt zahlreiche Ubungsaufgaben mit Losungen, so dass es sich auch fur ein Selbststudium eignet.
Tensor calculus is a prerequisite for many tasks in physics and engineering. This book introduces the symbolic and the index notation side by side and offers easy access to techniques in the field by focusing on algorithms in index notation. It explains the required algebraic tools and contains numerous exercises with answers, making it suitable for self study for students and researchers in areas such as solid mechanics, fluid mechanics, and electrodynamics. ContentsAlgebraic ToolsTensor Analysis in Symbolic Notation and in Cartesian CoordinatesAlgebra of Second Order TensorsTensor Analysis in Curvilinear CoordinatesRepresentation of Tensor FunctionsAppendices: Solutions to the Problems; Cylindrical Coordinates and Spherical Coordinates
A work on fluid mechanics, which treats the basics of fluid mechanics with learning units and feedback.
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