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Bibliography
The content in this chapter is standard matter and treated in almost all texts. The mathematical methods in accounting Cartesian vectors and tensors are found in
A. Rutherford, Vectors, Tensors, and the Basic Equations of Fluid Mechanics, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1962.
F. B. Hildebrand, Advanced Calculus for Applications(2nd Edition), Prentice-Hall, Inc., Englewood Cliffs, NJ, 1976.
R. B. Bird, C. F.Curtiss, R. C. Armstrong and O. Hassanger, Dynamics of Polymeric Liquids(2nd Edition), John Wiley & Sons, A Wiley-Interscience Publication, New York, Vol. 1 and Vol. 2, 1987. Appendices are useful.
G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists(6th Edition), Elsevier, Academic Press, Amsterdam, 2005.
Some interesting topics on microhydrodynamics are found in
S. Kim and S. J. Karrila, Microhydrodynamics, Principles and Selected Applications, Butterworth-Heinemann, a division of Reed Publishing (U.S.A.) Inc., Oxford, London, 1991.
P. Tabeling, Introduction to Microfluidics, Oxford University Press Inc., New York, 2005.
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Yamaguchi, H. (2008). Fundamentals in Continuum Mechanics. In: Engineering Fluid Mechanics. Fluid Mechanics and Its Applications, vol 85. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6742-6_1
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DOI: https://doi.org/10.1007/978-1-4020-6742-6_1
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