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Lebesgue Measure and Integration Theory: Foundations and Solved Exercises - Softcover

Cabada

 
9780443403262: Lebesgue Measure and Integration Theory: Foundations and Solved Exercises
Softcover
ISBN 10: 0443403260 ISBN 13: 9780443403262
Verlag: Academic Press, 2026

Inhaltsangabe

Lebesgue Measure and Integration Theory: Foundations and Solved Exercises offers a thorough, engaging introduction to Lebesgue measure and the theory of integration for students of mathematics and physics. This book provides the complete theoretical underpinnings of this theory, with the corresponding proofs, adapted to the level of advanced undergraduate and graduate students in these disciplines. Beginning with a fundamental discussion of measure spaces, the book moves onto measurable and non-measurable sets, approximation of measurable sets, measurable functions, the Lebesgue integral, the relationship between differentiation and integration on R, and product measures, among other topics. Examples and solved exercises are included across chapters to reinforce understanding and application.

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Über die Autorinnen und Autoren

Alberto Cabada is Professor at the University of Santiago de Compostela (Spain). His line of research is devoted to the existence and multiplicity of solutions of nonlinear differential equations, both ordinary and partial, as well as difference and fractional ones. He is the author of more than one hundred forty research and has authored two monographs.

Francisco Javier Fernández is Associate Professor at the University of Santiago de Compostela. He has participated in 8 national and regional research projects and is the author of 27 research publications. He has also participated in 27 national and international conferences. Francisco Javier Fernández has received 3 consecutive teaching merit awards, the last of these for the period of 2016-2021. Since the beginning of his academic career at the University of Santiago de Compostela, he has taught subjects related to measurement theory and Lebesgue integration.

Von der hinteren Coverseite

Lebesgue Measure and Integration Theory: Foundations and Solved Exercises offers a thorough, engaging introduction to Lebesgue measure and the theory of integration for students of mathematics and physics. This book provides the complete theoretical underpinnings of this theory, with the corresponding proofs, adapted to the level of advanced undergraduate and graduate students in these disciplines. Beginning with a fundamental discussion of measure spaces, the book moves onto measurable and non-measurable sets, approximation of measurable sets, measurable functions, the Lebesgue integral, the relationship between differentiation and integration on R, and product measures, among other topics. Examples and solved exercises are included across chapters to reinforce understanding and application.

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Verlag
Academic Press
Erscheinungsdatum
2026
Sprache
Englisch
ISBN 10 
0443403260
ISBN 13 
9780443403262
Einband
Taschenbuch
Anzahl der Seiten
374
Kontakt zum Hersteller
Nicht verfügbar
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