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Differentiation and Integration
2009In this chapter, we examine the mathematical foundations of differentiation and integration. The theorems of this chapter are useful not only to make calculus work but also for studying functions in many other contexts.We do not spend any time on the important applications that typically appear in courses devoted to calculus, such as optimization ...
Kenneth R. Davidson, Allan P. Donsig
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Differentiation and Integration
2017This chapter develops numerical methods for computing derivatives and integrals. Numerical differentiation of polynomials can be performed by synthetic division, or through special properties of trigonometric polynomials or orthogonal polynomials. For derivatives of more general functions, finite differences lead to difficulties with rounding errors ...
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1997
Abstract In the previous chapter we presented the Continuous DCT and gave some simple applications. Here we focus on its use in establishing differentiability of functions defined by integrals, as foreshadowed in Chapter 19. The rudiments of the method are covered in 20.2-20.6; other sections may be studied only as needed.
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Abstract In the previous chapter we presented the Continuous DCT and gave some simple applications. Here we focus on its use in establishing differentiability of functions defined by integrals, as foreshadowed in Chapter 19. The rudiments of the method are covered in 20.2-20.6; other sections may be studied only as needed.
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Differential and Integral Calculus
National Mathematics Magazine, 1933L. L. Lowenstein +2 more
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Interchanging integration and differentiation
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +1 more source
Government Euroscepticism and differentiated integration
Journal of European Public Policy, 2020Thomas Winzen
exaly
On the Differentiability of Multiple Integrals
Journal of the London Mathematical Society, 1951openaire +2 more sources