Analysis II Differential and Integral Calculus, Fourier Series, Holomorphic Functions /
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonl...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2005.
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Edición: | 1st ed. 2005. |
Colección: | Universitext,
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Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Differential and Integral Calculus
- The Riemann Integral
- Integrability Conditions
- The "Fundamental Theorem" (FT)
- Integration by parts
- Taylor's Formula
- The change of variable formula
- Generalised Riemann integrals
- Approximation Theorems
- Radon measures in ? or ?
- Schwartz distributions
- Asymptotic Analysis
- Truncated expansions
- Summation formulae
- Harmonic Analysis and Holomorphic Functions
- Analysis on the unit circle
- Elementary theorems on Fourier series
- Dirichlet's method
- Analytic and holomorphic functions
- Harmonic functions and Fourier series
- From Fourier series to integrals.