Henstock-kurzweil Integration On Euclidean Spaces(English, Hardcover, Lee Tuo Yeong)

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Henstock-kurzweil Integration On Euclidean Spaces(English, Hardcover, Lee Tuo Yeong) is written by Lee Tuo Yeong and published by World Scientific Publishing Co Pte Ltd. It's available with International Standard Book Number or ISBN identification 9814324582 (ISBN 10) and 9789814324588 (ISBN 13).

The 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.