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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.
Contents
Algebraic Tools
Tensor Analysis in Symbolic Notation and in Cartesian Coordinates
Algebra of Second Order Tensors
Tensor Analysis in Curvilinear Coordinates
Representation of Tensor Functions
Appendices: Solutions to the Problems; Cylindrical Coordinates and Spherical Coordinates
Heinz Schade (retired) TU Berlin; Klaus Neemann, TU Berlin; Andrea Dziubek and Edmond Rusjan, SUNY Polytechnic Institute, USA.