Measure and Integration: Examples, Concepts, and Applications - Brossura

Ghatasheh

Brossura

ISBN 10: 0443273901 ISBN 13: 9780443273902

Casa editrice: Academic Press, 2026

Riassunto

Measure and Integration: Examples, Concepts, and Applications instructs in core proofs, theorems, and approaches of real analysis, as illustrated via compelling exercises and carefully crafted, practical examples. From chapter one onward, students are asked to apply concepts to reinforce understanding and gain applied experience in real analysis. In particular, exercises challenge students to use key proofs of major real analysis theorems to encourage independent thinking and problem solving, and new areas of research powered by real analysis are introduced. Following early chapters on core concepts and approaches of real analysis, the authors apply real analysis across integration on product spaces, radon functionals, bounded variation and lebesgue-stieltjes measures, convolutions, probability, and differential equations, among other topics. Advanced exercises are also included at the end of each chapter, with exercise difficulty level noted for instructors, and solutions included in an appendix.

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Informazioni sugli autori

Ahmed Ghatasheh earned his PhD in Applied Mathematics from the University of Alabama at Birmingham in 2018. He has taught at the Ohio State University and Florida A&M University and currently serves as Assistant Professor of Mathematics at Philadelphia University in Amman, Jordan

Steven Redolfi earned his PhD in Applied Mathematics from the University of Alabama at Birmingham in 2023. He is
currently a Model Validation Analyst for Regions Financial Corporation.

Rudi Weikard is Professor of Mathematics at the University of Alabama at Birmingham. He frequently taught the Real Analysis sequence on which this book is modeled. He has authored or coauthored over 70 scholarly papers and coedited three volumes of conference proceedings. Jointly with C. Bennewitz and B.M. Brown, he recently published the book Spectral and Scattering Theory for Ordinary Differential Equations

Dalla quarta di copertina

Measure and Integration: Examples, Concepts, and Applications instructs in core proofs, theorems, and approaches of real analysis, as illustrated via compelling exercises and carefully crafted, practical examples. From chapter one onward, students are asked to apply concepts to reinforce understanding and gain applied experience in real analysis. In particular, exercises challenge students to use key proofs of major real analysis theorems to encourage independent thinking and problem solving, and new areas of research powered by real analysis are introduced. Following early chapters on core concepts and approaches of real analysis, the authors apply real analysis across integration on product spaces, radon functionals, bounded variation and lebesgue-stieltjes measures, convolutions, probability, and differential equations, among other topics.

Dettagli dell'edizione

• Editore: Academic Press
• Data di pubblicazione: 2026
• Lingua: Inglese
• ISBN 10: 0443273901
• ISBN 13: 9780443273902
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 330
• Contatto del produttore: Academic Press; https://shop.elsevier.com/; ; 230 PARK AVENUE, SUITE 800; NY; NY; 10169; U.S.A.
• Persona responsabile: non disponibile