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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Kurzweil-Henstock Integral for Undergraduates / by Alessandro Fonda.
其他題名:	A Promenade Along the Marvelous Theory of Integration /
作者:	Fonda, Alessandro.
面頁冊數:	X, 216 p. 24 illus., 5 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Functions of real variables. -
電子資源:	https://doi.org/10.1007/978-3-319-95321-2
ISBN:	9783319953212

The Kurzweil-Henstock Integral for Undergraduates = A Promenade Along the Marvelous Theory of Integration /
Fonda, Alessandro.

The Kurzweil-Henstock Integral for Undergraduates A Promenade Along the Marvelous Theory of Integration /[electronic resource] :by Alessandro Fonda. - 1st ed. 2018. - X, 216 p. 24 illus., 5 illus. in color.online resource. - Compact Textbooks in Mathematics,2296-4568. - Compact Textbooks in Mathematics,.

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.

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.

ISBN: 9783319953212

Standard No.: 10.1007/978-3-319-95321-2doiSubjects--Topical Terms:

792248
Functions of real variables.

LC Class. No.: QA331.5

Dewey Class. No.: 515.8

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