Calculus and applications - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Calculus and applications

Teo Banica
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Résumé

This is an introduction to calculus, and its applications to basic questions from physics. We first discuss the theory of functions f : R → R, with the notion of continuity, and the construction of the derivative f ′ (x) and of the integral b a f (x)dx. Then we investigate the case of the complex functions f : C → C, and notably the holomorphic functions, and harmonic functions. Then, we discuss the multivariable functions, f : R N → R M or f : R N → C M or f : C N → C M , with general theory, integration results, maximization questions, and basic applications to physics.
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Dates et versions

hal-04368485 , version 1 (01-01-2024)
hal-04368485 , version 2 (16-09-2024)

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  • HAL Id : hal-04368485 , version 2

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Teo Banica. Calculus and applications. 2024. ⟨hal-04368485v2⟩
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