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The integral : a crux for analysis /

Bibliographic Details
Main Author: Krantz, Steven G. (Steven George), 1951-
Format: eBook
Language:English
Published: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, [2011]
Series:Synthesis digital library of engineering and computer science.
Synthesis lectures on mathematics and statistics ; #9.
Subjects:
Integral theorems.
Riemann integral.
Lebesgue integral.
Integral
Riemann integral
Lebesgue integral
Henstock integral
Daniell integral
Stieltjes integral
Limiting processes
Inequalities
Measure
Measurable function
Lebesgue theorems
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Abstract:This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral, the Stieltjes integral, and other commonly used integrals. The purpose of this book is to provide a quick but accurate (and detailed) introduction to all aspects of modern integration theory. It should be accessible to any student who has had calculus and some exposure to upper division mathematics.
Item Description:Part of: Synthesis digital library of engineering and computer science.
Series from website.
Electronic resource.
Physical Description:1 online resource (xii, 93 pages) : illustrations, digital file.
Bibliography:Includes bibliographical references (page 87) and index.
Bibliography-Author's biography-Index.
ISBN:9781608456147 (electronic bk.)
1608456145 (electronic bk.)
ISSN:1938-1751 ;