The Kurzweil-Henstock Integral for Undergraduates A Promenade Along the Marvelous Theory of Integration /

• Main Author: Fonda, Alessandro (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Compact Textbooks in Mathematics,
• Subjects: Functions of real variables.; Measure theory.; Real Functions.; Measure and Integration.

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 v...

Table of Contents:

• Functions of one real variable
• Functions of several real variables
• Differential forms
• Differential calculus in RN
• The Stokes-Cartan and the Poincaré theorems
• On differentiable manifolds
• The Banach-Tarski paradox
• A brief historical note.