Elementary Introduction to the Lebesgue Integral

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Elementary Introduction to the Lebesgue Integral by Steven G. Krantz, CRC Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Steven G. Krantz ISBN: 9781351056809
Publisher: CRC Press Publication: April 17, 2018
Imprint: Chapman and Hall/CRC Language: English
Author: Steven G. Krantz
ISBN: 9781351056809
Publisher: CRC Press
Publication: April 17, 2018
Imprint: Chapman and Hall/CRC
Language: English

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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

More books from CRC Press

Cover of the book Essentials and Applications of Food Engineering by Steven G. Krantz
Cover of the book Nanoscale Semiconductor Memories by Steven G. Krantz
Cover of the book Introduction to RF Power Amplifier Design and Simulation by Steven G. Krantz
Cover of the book Multilevel Converters for Industrial Applications by Steven G. Krantz
Cover of the book Handbook for Chemical Process Research and Development by Steven G. Krantz
Cover of the book Carbon Capture, Storage and Utilization by Steven G. Krantz
Cover of the book Functional Carbohydrates by Steven G. Krantz
Cover of the book Special Relativity by Steven G. Krantz
Cover of the book International Housing Market Experience and Implications for China by Steven G. Krantz
Cover of the book Inspections and Reports on Dwellings by Steven G. Krantz
Cover of the book Electromagnetic Compatibility by Steven G. Krantz
Cover of the book Va Mycorrhiza by Steven G. Krantz
Cover of the book The Certified Criminal Investigator Body of Knowledge by Steven G. Krantz
Cover of the book Vintage Games by Steven G. Krantz
Cover of the book An Introduction to Numerical Weather Prediction Techniques by Steven G. Krantz
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy