The Kurzweil-Henstock Integral for Undergraduates / Compact Textbooks in Mathematics (PDF)
A Promenade Along the Marvelous Theory of Integration
(Sprache: Englisch)
This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue's in RN, but its construction is rather simple, since it makes use of Riemann...
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This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue's in RN, but its construction is rather simple, since it makes use of Riemann sums which, being geometrically viewable, are more easy to be understood. The theory is developed also for functions of several variables, and for differential forms, as well, finally leading to the celebrated Stokes-Cartan formula. In the appendices, differential calculus in RN is reviewed, with the theory of differentiable manifolds. Also, the Banach-Tarski paradox is presented here, with a complete proof, a rather peculiar argument for this type of monographs.
Autoren-Porträt von Alessandro Fonda
Alessandro Fonda, Università degli Studi di Trieste, Italy.
Bibliographische Angaben
- Autor: Alessandro Fonda
- 2018, 1st ed. 2018, 216 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319953214
- ISBN-13: 9783319953212
- Erscheinungsdatum: 11.11.2018
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Größe: 3.21 MB
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- Vorlesefunktion
Sprache:
Englisch
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