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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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The Kurzweil-Henstock Integral for Undergraduates - A Promenade Along the Marvelous Theory of Integration (Paperback, 1st ed. 2018)
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The Kurzweil-Henstock Integral for Undergraduates - A Promenade Along the Marvelous Theory of Integration (Paperback, 1st ed. 2018)
Series: Compact Textbooks in Mathematics
Expected to ship within 10 - 15 working days
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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.
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