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The Lebesgue Integral for Undegraduates - Tapa dura

Johnston, William

 
9781939512079: The Lebesgue Integral for Undegraduates
Tapa dura
ISBN 10: 1939512077 ISBN 13: 9781939512079
Editorial: The Mathematical Association of America, 2015

Sinopsis

Using the Daniell–Riesz approach, this text presents the Lebesgue integral at a level accessible to an audience familiar only with limits, derivatives and series. Employing such minimal prerequisites allows for greatly increased curricular flexibility for course instructors, as well as providing undergraduates with a gateway to the powerful modern mathematics of functions at a very early stage. The book's topics include: the definition and properties of the Lebesgue integral; Banach and Hilbert spaces; integration with respect to Borel measures, along with their associated L2(μ) spaces; bounded linear operators; and the spectral theorem. The text also describes several applications of the theory, such as Fourier series, quantum mechanics, and probability.

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Acerca del autor

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.

De la contraportada

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.

De la solapa interior

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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Editorial
The Mathematical Association of America
Año de publicación
2015
Idioma
Inglés
ISBN 10 
1939512077
ISBN 13 
9781939512079
Encuadernación
Tapa dura
Número de páginas
295
Contacto del fabricante
no disponible
Persona responsable
no disponible