This textbook represents an extensive and easily understood introduction to tensor analysis, which is to be construed here as the generic term for classical tensor analysis and tensor algebra, and which is a requirement in many physics applications and in engineering sciences. 
Tensors in symbolic notation and in Cartesian and curvilinear co-ordinates are introduced, amongst other things, as well as the algebra of second stage tensors. 
The book is primarily directed at students on various engineering study courses. It imparts the required algebraic aids and contains numerous exercises with answers, making it eminently suitable for self study.

Tensoranalysis (Uberarbeitete Auflage) (German Edition)

Reference

Klaus Neemann

Heinz Schade

Foreign Language Study & Reference

Walter de Gruyter

Tensor Analysis (De Gruyter Textbook)

Tensor analysis is a prerequisite for many tasks in engineering and physics. By focusing on algorithms in the coordinate representation of tensors, this graduate textbook offers easy access to techniques in the field. It imparts the required algebraic aids and contains numerous exercises with answers, making it suitable for taught courses and self study for students and researchers in areas such as fluid dynamics, solid mechanics, and electrodynamics. While a variety of textbooks on mathematical aspects of tensor analysis are available, this book focuses on the practical aspects allowing engineers to directly apply the methods learned in three dimensions. By using carefully chosen language an emphasis lies on conveying symbolic and index notation in parallel, thus allowing for immediate applications e.g. in continuum mechanics, electrodynamics, or signal processing. Students with basic knowledge in linear algebra will get an understanding of the methods on an algorithmic level, rather than by means of visualization and metaphors which are hard to apply to practical problems.

Tensor Analysis

Andrea Dziubek

Edmond Rusjan

de Gruyter

Tensor analysis is a prerequisite for many tasks in engineering and physics. By focusing on algorithms in the coordinate representation of tensors, this graduate textbook offers easy access to techniques in the field. It imparts the required algebraic aids and contains numerous exercises with answers, making it suitable for taught courses and self study for students and researchers in areas such as fluid dynamics, solid mechanics, and electrodynamics. While a variety of textbooks on mathematical aspects of tensor analysis are available, this book focuses on the practical aspects allowing engineers to directly apply the methods learned in three dimensions. By using carefully chosen language an emphasis lies on conveying symbolic and index notation in parallel, thus allowing for immediate applications e.g. in continuum mechanics, electrodynamics, or signal processing. Students with basic knowledge in linear algebra will get an understanding of the methods on an algorithmic level, rather than by means of visualization and metaphors which are hard to apply to practical problems. 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

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