measuring tape
lebesgue measure and integration an introduction
a superb text on the fundamentals of lebesgue measure and integration . br this book is designed to give the reader a solid understanding of lebesgue measure and integration . it focuses on only the most fundamental concepts namely lebesgue measure for r and lebesgue integration for extended real valued functions on r. starting with a thorough presentation of the preliminary concepts of undergraduate analysis this book covers all the important topics including measure theory measurable functions and integration . it offers an abundance of support materials including helpful illustrations examples and problems . to further enhance the learning experience the author provides a historical context that traces the struggle to define area and area under a curve that led eventually to lebesgue measure and integration . br lebesgue measure and integration is the ideal text for an advanced undergraduate analysis course or for a first year graduate course in mathematics statistics probability and other applied areas . it will also serve well as a supplement to courses in advanced measure theory and integration and as an invaluable reference long after course work has been completed .