ENGLISH

The Generalized Riemann Integral

By Robert M. McLeod

Book information

Publisher
Mathematical Associations of America
Year
1982
ISBN
0883850214, 9780883850213, 9780883850459, 9781614440208
Language
english
Format
DJVU
Filesize
4 MB (3858954 bytes)
Series
Carus Mathematical Monographs 20
Edition
Revised
Pages
xiv+275\292
DPI
600
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2014-02-08 07:28:29

Description

The Generalized Riemann Integral is addressed to persons who already have an acquaintance with integrals they wish to extend and to the teachers of generations of students to come. The organization of the work will make it possible for the first group to extract the principal results without struggling through technical details which they may find formidable or extraneous to their purposes. The technical level starts low at the opening of each chapter. Thus readers may follow each chapter as far as they wish and then skip to the beginning of the next. To readers who do wish to see all the details of the arguments, they are given. The generalized Riemann integral can be used to bring the full power of the integral within the reach of many who, up to now, get no glimpse of such results as monotone and dominated convergence theorems. As its name hints, the generalized Riemann integral is defined in terms of Riemann sums. The path from the definition to theorems exhibiting the full power of the integral is direct and short.

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