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A Primer of Lebesgue Integration (Hardback)

A Primer of Lebesgue Integration (Hardback)

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LIKE NEW: This book is in excellent, like-new condition. The pages are clean and the spine is tight.

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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

  1. The Riemann-Darboux Integral
  2. The Riemann Integral as a Limit of Sums
  3. Lebesgue Measure on (0,1)
  4. Measurable Sets—The Carathéodory Characterization
  5. The Lebesgue Integral for Bounded Functions
  6. Properties of the Integral
  7. The Integral of Unbounded Functions
  8. Differentiation and Integration
  9. Plane Measure
  10. The Relationship between μ and λ
  11. General Measures
  12. Integration for General Measures
  13. More Integration—the Radon-Nikodym Theorem
  14. Product Measures
  15. The Space L2
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AUTHOR: H.S. Bear

PUBLISHER: Academic Press, Inc.

ISBN-13: 9780120839704

ISBN-10: 0120839709

DATE: 1995
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