Tensor Analysis
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Heinz Schade
-
Translated by:
Andrea Dziubek
About this book
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
- All methods are explained in 3 dimensions, both in Cartesian & in curvilinear coordinates.
- The theory of surfaces & of the representation of tensor functions are introduced.
- A variety of problems with detailed solutions engage readers in learning.
Author / Editor information
Heinz Schade (retired) TU Berlin; Klaus Neemann, TU Berlin; Andrea Dziubek and Edmond Rusjan, SUNY Polytechnic Institute, USA.
Topics
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Frontmatter
I -
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Preface
V -
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Acknowledgments of the Translators
IX -
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Contents
XI -
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1. Algebraic Tools
1 -
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2. Tensor Analysis in Symbolic Notation and in Cartesian Coordinates
31 -
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3. Algebra of Second-Order Tensors
99 -
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4. Tensor Analysis in Curvilinear Coordinates
159 -
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5. Representation of Tensor Functions
221 -
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References
249 - Appendices
-
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A. Solutions to the Problems
253 -
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B. Cylindrical Coordinates and Spherical Coordinates
309 -
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Index
321
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Walter de Gruyter GmbH
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10785 Berlin
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