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Measure theory and integration 2e G De Barra [pdf]

Measure Theory & Integration (2E) by G De Barra

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About this book :-
Measure Theory & Integration (2E) written by G De Barra.
This textbook approaches integration via measure theory, as opposed to measure theory via integration, making it easier to understand the subject.
This textbook includes numerous worked examples necessary for teaching and learning at undergraduate level.
This textbook has detailed solutions are provided for the 300 problem exercises which test comprehension of the theorems provided.
This book has a dual purpose, being designed for a University level course on measure and integration, and also for use as a reference by those more interested in the manipulation of sums and integrals than in the proof of the mathematics involved. Because it is a textbook there are few references to the origins of the subject, which lie in analysis, geometry and probability. The only prerequisite is a first course in analysis and what little topology is required has been developed within the text. Apart from the central importance of the material in pure mathematics, there are many uses in different branches of applied mathematics and probability.
(Gearoid De Barra)

Book Detail :-
Title: Measure Theory & Integration
Edition: 2nd
Author(s): G De Barra
Publisher: Woodhead Publishing
Year: 2003
Pages: 240
Type: PDF
Language: English
ISBN: 9814675156, 978-904275044, 9781904275046, 9780857099525
Country: UK
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About Author :-
The author Gearoid de Barra was born in the city of Galway, West Ireland and moved as a young boy to Dublin where he spent his schooldays. He then studied mathematics at University College Dublin, National University of Ireland where he gained his BSc. Moving to England, he graduated from the University of London with a PhD for research on the convergence of random variables, an area of application of some of the material covered in this book. He then transferred to Hull University in Yorkshire for a teaching appointment; and afterwards spent two summers in 1975 and 1988 in Australia, teaching and researching at the University of New South Wales.
More recently, he became Senior Lecturer at the Royal Holloway College, University of London, to continue teaching and research related to aspects of operator theory and measure theory involving ideas from the material in this book.
He has enjoyed teaching university mathematics at all undergraduate and postgraduate levels, including many courses on measure theory and its applications to functional analysis, from which source this book has developed. The first edition was the standard text in the departments of mathematics at both Cardiff University and Royal Holloway College, and has attracted attention in Canada and Scandinavia. It was also translated into Italian as Teoria del/a Misura è deli integrazione.

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Book Contents :-
Measure Theory & Integration (2E) written by G De Barra cover the following topics. '
1. Preliminaries
2. Measure of real line
3. Integration of function of a real variable
4. Differentiation
5. Abstract Measure Spaces
6. Inequalitities and Lp Spaces
7. Convergence
8. Signed Measure and their derivatives
9. Lebesgue Stieltjes Integration
10. Measure and Integration in a Product Space
Hints and Answers to Exercises

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