Kurzweil-Henstock Integral for Undergraduates

Alessandro Fonda, Università degli Studi di Trieste, Italy.

• 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.

“The author maintains here the exposition at a very didactic level, trying to avoid as much as possible unnecessary technicalities, which is a big advantage of this book. … In my point of view, the presented book is a useful tool for all mathematicians (not only for students) and I find it regrettable that this book was not written when I was a student.” (Andrey Zahariev, zbMath 1410.26007, 2019)