Author : William Johnston
Publisher : The Mathematical Association of America
Page : 297 pages
File Size : 45,5 Mb
Release : 2015-09-25
Category : Mathematics
ISBN : 9781939512079
The Lebesgue Integral for Undergraduates by William Johnston Pdf
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.