Measure and Integration

Nyhet

Examples, Concepts, and Applications

Häftad, Engelska, 2026

Av Rudi Weikard, Steven Redolfi, Ahmed Ghatasheh

1 309 kr

Kommande

Measure and Integration: Examples, Concepts, and Applications offers a comprehensive introduction to the fundamental principles and methods of real analysis, providing readers with a solid foundation through clear explanations, rigorous proofs, and an abundance of thoughtfully constructed exercises. From the very first chapter, students are encouraged to engage actively with concepts, applying them to a range of practical examples that reinforce both understanding and analytical skills. The book’s structured approach ensures that readers not only grasp key theorems and core techniques, but also develop the problem-solving abilities essential for higher-level mathematics and related applications.

The text also delves into advanced areas such as integration on product spaces, Radon functionals, functions of bounded variation, Lebesgue-Stieltjes measures, convolutions, probability, and differential equations. Each chapter concludes with advanced exercises, clearly marked for difficulty, allowing both students and instructors to tailor their study or coursework. An appendix with complete solutions supports independent learning, making the book a valuable resource for both classroom use and self-study.

Applies real analysis-based problem solving across a range of mathematical topics, from product spaces to radon functionals, bounded variation and lebesgue-stieltjes measures, convolutions, probability, and differential equations, among others
Reinforces understanding of core concepts, proofs, and theorems of real analysis to encourage independent thinking
Features additional exercises at the end of each chapter and solutions in an appendix

Produktinformation

Utgivningsdatum2026-04-01
Mått191 x 235 x undefined mm
FormatHäftad
SpråkEngelska
Antal sidor330
FörlagElsevier Science
ISBN9780443273902

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Rudi Weikard is Professor of Mathematics at the University of Alabama at Birmingham who has frequently taught the Real Analysis sequence. He has authored or co-authored over 60 scholarly articles, co-edited three volumes of conference proceedings, and recently a co-authored (with C. Bennewitz and B.M. Brown) a textbook on Spectral and Scattering Theory for Ordinary Differential Equations. Steven Redolfi graduated with a PhD in Applied Mathematics from the University of Alabama at Birmingham and is currently a Model Validation Analyst for Regions Financial Corporation. He has coauthored papers and given talks on topics which heavily rely on the general integration theory introduced in Real Analysis. Ahmed Ghatasheh graduated with a PhD in Applied Mathematics from the University of Alabama at Birmingham (UAB). After graduation, he taught at The Ohio State University and for Florida A&M University. Currently, he is an assistant professor of mathematics at Philadelphia University in Jordan. During his time at UAB, he coauthored papers and gave talks related to measure and integration theory.