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The Lebesgue Integral for Undergraduates: An Elementary Approach (Mathematical Association of America Textbooks) - Hardcover

William Johnston (author)

 
9781939512079: The Lebesgue Integral for Undergraduates: An Elementary Approach (Mathematical Association of America Textbooks)
Hardcover
ISBN 10: 1939512077 ISBN 13: 9781939512079
Publisher: American Mathematical Society, 2015

Synopsis

Using minimal prerequisites, this book unlocks the power Lebesgue integral, accessible at a surprisingly early stage in the undergraduate curriculum.

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About the Author

William Johnston is Professor of Mathematics at Butler University, Indiana. His publications include articles on operator theory and functional analysis, and the undergraduate textbooks A Transition to Advanced Mathematics: A Survey Course (with Alex McAllister) and An Introduction to Statistical Inference.

From the Back Cover

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.

From the Inside Flap

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.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2015
Language
English
ISBN 10 
1939512077
ISBN 13 
9781939512079
Binding
Hardcover
Number of pages
284