Abstract
This chapter is a short introduction into tensor fields, some basic techniques from linear algebra, differential geometry and the mathematical concept of tensor fields are presented. The main goal of this chapter is to give readers from different backgrounds some fundamentals to access the research papers in the following chapters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fuhrmann, P.A.: A Polynomial Approach to Linear Algebra. Springer, Berlin (2002)
do Carmo, M.P.: Differential Geometry of Curves and Surfaces. Prentice-Hall, Englewood Cliffs, N.J. (1976)
Spivak, M.: Differential Geometry. Publish or Perish, Berkeley (1979)
Borisenko, A.I., Tarpov, I.E.: Vector and Tensor Analysis with Applications. Dover, New York (1980)
Abraham, R., Marsden, J.E., and Ratiu, T.S.: Manifolds, Tensor Analysis, and Applications, 2nd ed. Springer, New York (1991)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Hagen, H., Garth, C. (2006). An Introduction to Tensors. In: Weickert, J., Hagen, H. (eds) Visualization and Processing of Tensor Fields. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31272-2_1
Download citation
DOI: https://doi.org/10.1007/3-540-31272-2_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25032-6
Online ISBN: 978-3-540-31272-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)