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Elementary Introduction to the Lebesgue Integral
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Elementary Introduction to the Lebesgue Integral

Book Details

Format Paperback / Softback
ISBN-10 1138482765
ISBN-13 9781138482760
Publisher Taylor & Francis Ltd
Imprint CRC Press
Country of Manufacture GB
Country of Publication GB
Publication Date Apr 18th, 2018
Print length 184 Pages
Weight 298 grams
Dimensions 15.70 x 23.10 x 1.50 cms
Product Classification: Calculus & mathematical analysis
Ksh 12,600.00
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This textbook offers a rare opportunity to teach Lebesgue integration to undergraduates. Focusing on the real line, the author introduces the topic in an accessible way, thus encouraging students to dig into this mainstay of mathematical analysis earlier than the traditional graduate level course.

Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of its important properties with respect to limits. For this reason, it is vital that mathematical students properly understand the complexities of the Lebesgue integral. However, most texts about the subject are geared towards graduate students, which makes it a challenge for instructors to properly teach and for less advanced students to learn.

Ensuring that the subject is accessible for all readers, the author presents the text in a clear and concrete manner which allows readers to focus on the real line. This is important because Lebesgue integral can be challenging to understand when compared to more widely used integrals like the Riemann integral. The author also includes in the textbook abundant examples and exercises to help explain the topic. Other topics explored in greater detail are abstract measure spaces and product measures, which are treated concretely.

Features:

  • Comprehensibly written introduction to the Lebesgue integral for undergraduate students
  • Includes many examples, figures and exercises
  • Features a Table of Notation and Glossary to aid readers
  • Solutions to selected exercises

 


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