Henstock-Kurzweil Integration on Euclidean Spaces
Author: Tuo Yeong Lee
Publisher: World Scientific
Published: 2011
Total Pages: 325
ISBN-13: 9814324582
DOWNLOAD EBOOKThe Henstock?Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the powerful Lebesgue integral. This book presents an introduction of the multiple Henstock?Kurzweil integral. Along with the classical results, this book contains some recent developments connected with measures, multiple integration by parts, and multiple Fourier series. The book can be understood with a prerequisite of advanced calculus.