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The Kurzweil-Henstock Integral for Undergraduates by Alessandro Fonda
The Kurzweil-Henstock Integral for Undergraduates by Alessandro Fonda
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The Kurzweil-Henstock Integral for Undergraduates

A Promenade Along the Marvelous Theory of Integration
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Description

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.

Author Biography:

Alessandro Fonda, Università degli Studi di Trieste, Italy.
Release date NZ
November 22nd, 2018
Audience
  • Undergraduate
Edition
1st ed. 2018
Illustrations
5 Illustrations, color; 19 Illustrations, black and white; X, 216 p. 24 illus., 5 illus. in color.
Pages
216
ISBN-13
9783319953205
Product ID
28209113

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