Name: Theory And Problems Of The Lebesgue Integral In R^n: With Solutions
Price: 60.44 USD
Availability: InStock
Author: Jose Manuel Mazon Ruiz
ISBN: 9781800618770

portada Theory And Problems Of The Lebesgue Integral In R^n: With Solutions

Theory And Problems Of The Lebesgue Integral In R^n: With Solutions

Formato

Libro Físico

Editorial

World Scientific Europe Ltd

Autor

Jose Manuel Mazon Ruiz

Colección

Essential Textbooks in Mathematics

Año

2026

N° páginas

260

Encuadernación

Tapa Blanda

ISBN13

9781800618770

Theory And Problems Of The Lebesgue Integral In R^n: With Solutions

Jose Manuel Mazon Ruiz (Autor) · World Scientific Europe Ltd · Tapa Blanda

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Reseña del libro "Theory And Problems Of The Lebesgue Integral In R^n: With Solutions"

This book offers a clear and comprehensive introduction to the Lebesgue integral — one of the foundational concepts of modern analysis. Beginning with the historical development of integration, it builds naturally from the notions of null sets and step functions toward more advanced topics such as measurable functions, convergence theorems, Fubini's theorem, change of variables, and the structure of Lp spaces. Throughout, the material is presented with a focus on clarity, logical progression, and practical insight.Spanning eight chapters, the book guides readers through both the theoretical foundations and practical applications of the Lebesgue integral in RN. Along the way, it explores a wide range of key ideas, including the characterization of Riemann integrability, the Tonelli-Hobson criterion, non-measurable sets, integral transformations, Cavalieri's principle, Eulerian integrals, and convolution of functions. The result is a well-rounded and accessible treatment that bridges classical calculus with the depth of real analysis.Each chapter concludes with a carefully selected set of problems, all of which are fully solved in a dedicated section — making this an ideal resource for both independent study and structured coursework. Whether you are encountering measure theory for the first time or seeking a deeper understanding of integration in higher dimensions, this book offers the theoretical foundation and practical support needed to master one of mathematics' most powerful analytical tools.