Artículos relacionados a Measure, Integral, Derivative: A Course on Lebesgue's...

Measure, Integral, Derivative: A Course on Lebesgue's Theory (Universitext) - Tapa blanda

Libro 168 de 261: Universitext

Ovchinnikov, Sergei

 
9781461471950: Measure, Integral, Derivative: A Course on Lebesgue's Theory (Universitext)
Tapa blanda
ISBN 10: 1461471958 ISBN 13: 9781461471950
Editorial: Springer, 2013

Sinopsis

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.

http://online.sfsu.edu/sergei/MID.htm

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Sergei Ovchinnikov is currently Professor of Mathematics at San Francisco State University.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
1461471958
ISBN 13 
9781461471950
Encuadernación
Tapa blanda
Número de páginas
146
Contacto del fabricante
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Alemania