The Lebesgue Integral for Undergraduates

Download or Read eBook The Lebesgue Integral for Undergraduates PDF written by William Johnston and published by The Mathematical Association of America. This book was released on 2015-09-25 with total page 297 pages. Available in PDF, EPUB and Kindle.
The Lebesgue Integral for Undergraduates
Author :
Publisher : The Mathematical Association of America
Total Pages : 297
Release :
ISBN-10 : 9781939512079
ISBN-13 : 1939512077
Rating : 4/5 (79 Downloads)

Book Synopsis The Lebesgue Integral for Undergraduates by : William Johnston

Book excerpt: In 1902, modern function theory began when Henri Lebesgue described a new "integral calculus." His "Lebesgue integral" handles more functions than the traditional integral-so many more that mathematicians can study collections (spaces) of functions. For example, it defines a distance between any two functions in a space. This book describes these ideas in an elementary accessible way. Anyone who has mastered calculus concepts of limits, derivatives, and series can enjoy the material. Unlike any other text, this book brings analysis research topics within reach of readers even just beginning to think about functions from a theoretical point of view.


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Responses from colleagues and students concerning the first edition indicate that the text still answers a pedagogical need which is not addressed by other text