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Henstock-Kurzweil Integration on Euclidean Spaces: 12
Author(s): Tuo Yeong Lee (Author)
- Publisher: World Scientific Publishing Company
- Publication Date: 16 Mar. 2011
- Edition: Illustrated
- Language: English
- Print length: 324 pages
- ISBN-10: 9814324582
- ISBN-13: 9789814324588
Book Description
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.
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From the Back Cover
The HenstockKurzweil 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 HenstockKurzweil 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.
