Articoli correlati a The Lebesgue Integral: An Elementary Approach

The Lebesgue Integral: An Elementary Approach - Rilegato

Johnston, William

 
9781939512079: The Lebesgue Integral: An Elementary Approach

Sinossi

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

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Informazioni sull'autore

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.

Dalla quarta di copertina

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.

Dal risvolto di copertina interno

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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