ENGLISH

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

By Alessandro Fonda

Book information

Publisher
Birkhäuser
Year
2018
ISBN
3319953206, 9783319953205
Language
english
Format
EPUB
Filesize
13 MB (13787391 bytes)
Series
Compact Textbooks in Mathematics
Pages
232\0
Time added
2018-12-21 10:53:10

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 and easy to understand. 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.

Similar books

The arraignment and tryall with a declaration of the Ranters also, several sentences proceedings at the sessions in the Old-Baily, and Councel of War: their protestations and the hanging of one up by the thumbs; with divers penalties to be inflicted upon others. The dancing and revelling of Dr. Buckeridge and his wife, and other gent. dancing all in white, in Berkshire, and their Christmas carol. A dispute between a Ranter in Bridewel, and one that came to see him; with his creed and pater noster: and the names of the false gods they worship. As also, a list of many of the Ranters, from whence they are derived: and of many hundreds of them in England

2019 · EPUB