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Operational Calculus in One Variable
1976Let ℱ denote the algebra of all function f on –π≤θ≤π, with $$f(\theta ) = \sum\limits_{ - \infty }^\infty {{C_n}{e^{in\theta }}} ,\sum\limits_{ - \infty }^\infty {|{C_n}|}
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Integral Calculus for Functions of one Variable
2002Every function F: (a, b) → ℝ satisfying the relation F′(x) = f(x) for all x ∈ (a, b) is called a primitive of the function f: (a, b) → ℝ The set of all primitives {F + C|C ∈ ℝ} is said to be the indefinite integral of f on (a, b); C is the integration constant. Notation: ∫ f(x) dx = F(x) + C.
Bernd Luderer +2 more
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Differential Calculus of One Variable
1995Students taking the course on mathematical methods generally protested vigorously when told that we were going to start with a review of calculus, on the grounds that they knew it all. Now, that proved to be the case for some, while for many it was somewhat different: either they once knew it, or thought they once knew it, or actually knew someone who ...
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Differential Calculus of Functions of One Variable
2016Assume that \(f:{\mathbb {T}}\rightarrow {\mathbb {R}}\) is a function and let \(t\in {\mathbb {T}}^{\kappa }\).
Martin Bohner, Svetlin G. Georgiev
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Functions of one Variable: Integral Calculus
2009Polynom division and partial fraction decomposition lead to integrals over polynomials and special partial fractions. The partial fractions can be integrated by the use of formulas from the ▸ table of indefinite integrals.
Bernd Luderer +2 more
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The $$\psi $$-Hilfer fractional calculus of variable order and its applications
Computational and Applied Mathematics, 2020J. Sousa, J. Machado, E. C. de Oliveira
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Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra
, 1961E. Bolker, T. Apostol
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Multivariable calculus results in different countries
ZDM – Mathematics Education, 2021Rafael Martínez-Planell, M. Trigueros
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