Name: Measure, Integral, Derivative: A Course on Lebesgue's Theory (Universitext) (en Inglés)
Price: 121.82 USD
Availability: InStock
Author: Sergei Ovchinnikov
ISBN: 9781461471950

portada Measure, Integral, Derivative: A Course on Lebesgue's Theory (Universitext) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Sergei Ovchinnikov

Año

2013

Idioma

Inglés

N° páginas

146

Encuadernación

Tapa Blanda

ISBN13

9781461471950

N° edición

2013

Categorías

Cálculo

Measure, Integral, Derivative: A Course on Lebesgue's Theory (Universitext) (en Inglés)

Sergei Ovchinnikov (Autor) · Springer · Tapa Blanda

Libro Físico

$ 121.82

$ 187.42

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Origen: Reino Unido (Costos de importación incluídos en el precio)

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Reseña del libro "Measure, Integral, Derivative: A Course on Lebesgue's Theory (Universitext) (en Inglés)"

This classroom-tested text is intended for a one-semester course in Lebesgue's theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis.In order to keep the book self-contained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where σ-algebras are not used in the text on measure theory and Dini's derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue's theory are found in the book.