Elementary introduction to the Lebesgue integral (Record no. 211353)

000 -LEADER
fixed length control field cam a22 i 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190401b 2018 ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781138482760
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.43
Item number K7E5
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Krantz, Steven G.
Dates associated with a name
9 (RLIN) 376202
245 ## - TITLE STATEMENT
Title Elementary introduction to the Lebesgue integral
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New York
Name of publisher, distributor, etc CRC Press
Date of publication, distribution, etc 2018
300 ## - PHYSICAL DESCRIPTION
Extent xii, 183p.
Other physical details With index
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Textbooks in Mathematics
9 (RLIN) 377167
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc TABLE OF CONTENTS<br/>Chapter 1<br/>Introductory Thoughts<br/>BySteven G. Krantz<br/><br/>Chapter 2<br/>The Purpose of Measures<br/>BySteven G. Krantz<br/><br/>Chapter 3<br/>The Leuesgue Integral<br/>BySteven G. Krantz<br/><br/>Chapter 4<br/>Integrable Functions<br/>BySteven G. Krantz<br/><br/>Chapter 5<br/>The Lebesgue Spaces<br/>BySteven G. Krantz<br/><br/>Chapter 6<br/>The Concept of Outer Measure<br/>BySteven G. Krantz<br/><br/>Chapter 7<br/>What Is a Measurable Set?<br/>BySteven G. Krantz<br/><br/>Chapter 8<br/>Decomposition Theorems<br/>BySteven G. Krantz<br/><br/>Chapter 9<br/>Creation of Measures<br/>BySteven G. Krantz<br/><br/>Chapter 10<br/>Instances of Measurable Sets<br/>BySteven G. Krantz<br/><br/>Chapter 11<br/>Approximation by Open And Closed Sets<br/>BySteven G. Krantz<br/><br/>Chapter 12<br/>Different Methods of Convergence<br/>BySteven G. Krantz<br/><br/>Chapter 13<br/>Measure on a Product Space<br/>BySteven G. Krantz<br/> <br/>Chapter 14<br/>Additivity for Outer Measure<br/>BySteven G. Krantz<br/><br/>Chapter 15<br/>Nonmeasuraule Sets and Non‐Borel Sets<br/>BySteven G. Krantz<br/><br/>Chapter 16<br/>Applications<br/>BySteven G. Krantz
520 ## - SUMMARY, ETC.
Summary, etc 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.<br/>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.<br/>Features:<br/>Comprehensibly written introduction to the Lebesgue integral for undergraduate students<br/>Includes many examples, figures and exercises<br/>Features a Table of Notation and Glossary to aid readers<br/>Solutions to selected exercises<br/><br/>
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lebesgue integral
Form subdivision Textbooks.
9 (RLIN) 376203
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Integrals, Generalized
Form subdivision Textbooks.
9 (RLIN) 376204
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Measure theory
Form subdivision Textbooks.
9 (RLIN) 376205
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Permanent location Current location Shelving location Date acquired Source of acquisition Cost, normal purchase price Item location Full call number Barcode Date last seen Cost, replacement price Koha item type
          Non-fiction Vikram Sarabhai Library Vikram Sarabhai Library General Stacks 28/03/2019 13 4.00 Slot 1377 (0 Floor, East Wing) 515.43 K7E5 198919 28/03/2019 5220.83 Books

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