Bressoud, David M. A radical approach to Lebesgue’s theory of integration. (English) Zbl 1165.00001 MAA Textbooks. Cambridge: Cambridge University Press; Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-521-71183-8/pbk; 978-0-521-88474-7/hbk). xiv, 329 p. (2008). This book is an introduction to measure theory and Lebesgue integration and it is dedicated to advanced undergraduate and graduate students in mathematics. Informed by history, attempting to the motivations, uncertainties, and difficulties surrounding the key concepts of the field, this book is devoted to explain the answers to the five historical questions that changed the nature of analysis forever and that led to the development of measure theory and Lebesgue integration. Moreover, this is a story of any contributions by many members of a large community of mathematicians working on different pieces of the puzzle in the late nineteenth, early twentieth century. Reviewer: Octavian Lipovan (Timişoara) Cited in 2 ReviewsCited in 4 Documents MSC: 00-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general 26-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions 28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration 28-03 History of measure and integration 26A42 Integrals of Riemann, Stieltjes and Lebesgue type 28A12 Contents, measures, outer measures, capacities 28A25 Integration with respect to measures and other set functions PDF BibTeX XML Cite \textit{D. M. Bressoud}, A radical approach to Lebesgue's theory of integration. Cambridge: Cambridge University Press; Washington, DC: Mathematical Association of America (MAA) (2008; Zbl 1165.00001)