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Henstock-kurzweil Integration On Euclidean Spaces, PDF eBook

Henstock-kurzweil Integration On Euclidean Spaces PDF

Part of the Series In Real Analysis series

PDF

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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.

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