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

Language: English

Published by World Scientific Europe Ltd, London, 2026

180061859X / 9781800618596

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Hardcover. 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 N. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Seller Inventory # 9781800618596

Title
Theory And Problems Of The Lebesgue Integral In R^n: With Solutions (Hardcover)
Author
Jose Manuel Mazon Ruiz
Publisher
World Scientific Europe Ltd, London
Publication year
2026
Condition
new
Binding
Hardcover
Language
English
ISBN 10
180061859X
ISBN 13
9781800618596

CitiRetail

Stevenage, United Kingdom

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