Vector, Matrix and Tensor Algebras

time and location with D. 'Tony' Sun (dsun2019@hotmail.com)
semester if any  |  [Syllabus.PDF]  |  ------
Primary References
Chapman, C. J. (2000). High Speed Flow. Cambridge University Press.
Dullemond, K. & Peeters, K. (2010). Introduction to Tensor Calculus.  Available at the author's website https://www.ita.uni-heidelberg.de/~dullemond/lectures/tensor/tensor.pdf
Grow, D. E. (Spring 2015). Mathematics 5222 (Syllabus).
Levi-Civita, T. (1923). The Absolute Differential Calculus (Calculus of Tensors) [.pdf  commentary]. Blackie & Son Limited (London and Glasgow).
Ricci, M. M. G., & Levi-Civita, T. (1900). Methods of the Absolute Differential Calculus and Their Applications. Mathematische Annalen, 54, 125-201.
Spain, B. (1960). Tensor Calculus: A Concise Course. Dover Publications, Inc.
Willmore, T. J. (1959). An Introduction to Differential Geometry. Oxford at the Clarendon Press.


Scalars [.pdf]
Reading:  StackExchange post "What are elements of a field called"
Serge Lang's identification of scalars in Linear Algebra (1987) [excerpt]
Section 16.1 : Vector Fields from Paul's Online Notes
- [.pdf]
- [.pdf]


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