Overview
This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook.
Full Product Details
Author: Charles W Swartz (New Mexico State Univ, Usa) ,
Douglas S Kurtz (New Mexico State Univ, Usa)
Publisher: World Scientific Publishing Co Pte Ltd
Imprint: World Scientific Publishing Co Pte Ltd
Volume: 9
Dimensions:
Width: 15.30cm
, Height: 1.60cm
, Length: 22.50cm
Weight: 0.404kg
ISBN: 9789812566119
ISBN 10: 9812566112
Pages: 284
Publication Date: 04 June 2004
Audience:
College/higher education
,
Postgraduate, Research & Scholarly
,
Undergraduate
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Reviews
""The authors are to be commended for covering a lot of ground in less than 300 pages ... Two possible courses that could be developed using this book are: First, if students have had an analysis course on proofs, limits, continuity and differentiation, this text could be used for a following course on Riemann and Lebesgue integration. Secondly, it could be used for a course that wishes to survey integration theories. It would also make for suitable independent reading. Priced at $56, it is good value.""Zentralblatt MATH""This book can be recommended as a textbook for upper-level undergraduate students and beginning graduate students. Being clearly written and self-contained it can be also used for self study.""Studia Universitatis ""Babe-Bolyai"", Series Mathematica
The authors are to be commended for covering a lot of ground in less than 300 pages ... Two possible courses that could be developed using this book are: First, if students have had an analysis course on proofs, limits, continuity and differentiation, this text could be used for a following course on Riemann and Lebesgue integration. Secondly, it could be used for a course that wishes to survey integration theories. It would also make for suitable independent reading. Priced at $56, it is good value. Zentralblatt MATH This book can be recommended as a textbook for upper-level undergraduate students and beginning graduate students. Being clearly written and self-contained it can be also used for self study. Studia Universitatis Babe-Bolyai , Series Mathematica
