A Primer of Lebesgue Integration (Hardback)
A Primer of Lebesgue Integration (Hardback)
Condition
LIKE NEW: This book is in excellent, like-new condition. The pages are clean and the spine is tight.
Product Details
From the back cover: "The Lebesgue integral is the standard tool for mathematics, physics, and engineering. It is used where sequences or series arise and where one might wish to express the integral of a sum as a sum of integrals or vice versa. It is essential in Fourier analysis and for the construction of Hilbert space. This primer gives a concrete treatment, building Lebesgue theory in a way parallel to the Riemann integral of beginning calculus. It makes the powerful tools of Lebesgue theory readily available to those in applied areas. It is a good introduction for those going on in mathematics and a refresher with new insights for those in the field. H.S. Bear gives a clear and engaging account of this important and previously forbidding piece of mathematics, providing readers with a key to many areas of analysis."
CONTENTS
- The Riemann-Darboux Integral
- The Riemann Integral as a Limit of Sums
- Lebesgue Measure on (0,1)
- Measurable Sets—The Carathéodory Characterization
- The Lebesgue Integral for Bounded Functions
- Properties of the Integral
- The Integral of Unbounded Functions
- Differentiation and Integration
- Plane Measure
- The Relationship between μ and λ
- General Measures
- Integration for General Measures
- More Integration—the Radon-Nikodym Theorem
- Product Measures
- The Space L2
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