Abstract
In this chapter we shall introduce a few basic concepts involving units, Newton’s second law of motion, and some “common sense” statements of basic transport relationships. After a brief calculus review, there will be presented statements of continuity, differentiability, and differentials, L’Hôpital’s rule, and the Leibnitz rule for differentiating integrals. We conclude with some vector and tensor operations, and a discussion of matrix algebra.
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Further Reading
Advanced Calculus, by Angus E. Taylor, Ginn and Company, New York, 1955.
Transport Phenomena, by R. B. Bird, W. E. Stewart, and E. N. Lightfoot, John Wiley, New York, 1960.
Mathematical Methods in Chemical Engineering, by V. G. Jenson and G. V. Jeffreys, Academic Press, New York, 1963.
Process Analysis and Simulation, by D. M. Himmelblau and K. B. Bischoff, John Wiley, New York, 1968.
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© 1973 Plenum Press, New York
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Hershey, D. (1973). Some Mathematical Concepts. In: Transport Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4484-1_1
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DOI: https://doi.org/10.1007/978-1-4613-4484-1_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4486-5
Online ISBN: 978-1-4613-4484-1
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