EAN: 9783319953205

COMPACT TEXTBOOKS IN MATHEMATICS THE KURZWEIL...

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.

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