Abstract
In this chapter we consider different ways of creating new functions by combining old ones. We often seek to describe complicated functions as combinations of simpler functions that we know. In the last chapter, we saw how a general polynomials can be created adding up multiples of monomials, that is, as linear combinations of monomials. In this chapter, we consider first linear combinations of arbitrary functions, then multiplication and division, and finally composition of functions.
And he gave a deep sigh, and tried very hard to listen to what Owl was saying. (Winnie-the Pooh)
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© 2004 Springer-Verlag Berlin Heidelberg
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Eriksson, K., Estep, D., Johnson, C. (2004). Combinations of functions. In: Applied Mathematics: Body and Soul. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05796-4_11
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DOI: https://doi.org/10.1007/978-3-662-05796-4_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05659-8
Online ISBN: 978-3-662-05796-4
eBook Packages: Springer Book Archive