Henstock–kurzweil Integration On Euclidean Spaces
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| Title: | Henstock–kurzweil Integration On Euclidean Spaces |
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| 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. |
| Authors: | Tuo Yeong Lee |
| Resource Type: | eBook. |
| Subjects: | Calculus, Integral, Henstock-Kurzweil integral, Lebesgue integral |
| Categories: | MATHEMATICS / Mathematical Analysis, MATHEMATICS / Calculus, MATHEMATICS / Geometry / General |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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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| ISBN: | 9789814324588 9789814324595 |
