The Kurzweil-Henstock Integral for Undergraduates - A Promenade Along the Marvelous Theory of Integration (Paperback, 1st ed. 2018)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Compact Textbooks in Mathematics
Release date:	November 2018
First published:	2018
Authors:	Alessandro Fonda
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	216
Edition:	1st ed. 2018
ISBN-13:	978-3-319-95320-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
LSN:	3-319-95320-6
Barcode:	9783319953205

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