Henstock-kurzweil Integration On Euclidean Spaces
Author:   Tuo Yeong Lee (Nie, Ntu, S'pore)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   12
ISBN:  

9789814324588


Pages:   324
Publication Date:   18 March 2011
Format:   Hardback
Availability:   In Print   Availability explained
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Henstock-kurzweil Integration On Euclidean Spaces


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Overview

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.

Full Product Details

Author:   Tuo Yeong Lee (Nie, Ntu, S'pore)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   12
Dimensions:   Width: 15.70cm , Height: 2.30cm , Length: 22.60cm
Weight:   0.612kg
ISBN:  

9789814324588


ISBN 10:   9814324582
Pages:   324
Publication Date:   18 March 2011
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

The One-Dimensional Henstock-Kurzweil Integral; The Multiple Henstock-Kurzweil Integral; Lebesgue Integrable Functions; Further Properties of Henstock-Kurzweil Integrable Functions; The Henstock Variational Measure; Multipliers for the Henstock-Kurzweil Integral; Some Selected Topics in Trigonometric Series; Some Applications of the Henstock-Kurzweil Integral to Double Trigonometric Series.

Reviews

Each argument is well presented, the proofs are detailed and each chapter ends with a useful indication of the historical development of the relative theory. Much of the material of this book is accessible to graduate students with the only prerequisite being advanced calculus. -- Mathematical Reviews Mathematical Reviews


"Each argument is well presented, the proofs are detailed and each chapter ends with a useful indication of the historical development of the relative theory. Much of the material of this book is accessible to graduate students with the only prerequisite being advanced calculus. -- Mathematical Reviews ""Mathematical Reviews"""


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