# A Primer of Lebesgue Integration, Second Edition

## H. S. Bear

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( 3 valoraciones por Goodreads )

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study.

Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.

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From the Back Cover:

This successful text offers a reader-friendly approach to Lebesgue integration. It is designed for advanced undergraduates, beginning graduate students, or advanced readers who may have forgotten one or two details from their real analysis courses.

"The Lebesgue integral has been around for almost a century. Most authors prefer to blast through the preliminaries and get quickly to the more interesting results. This very efficient approach puts a great burden on the reader; all the words are there, but none of the music." Bear's goal is to proceed more slowly so the reader can develop some intuition about the subject. Many readers of the successful first edition would agree that he achieves this goal.

The principal change in this edition is the simplified definition of the integral. The integral is defined either with upper and lower sums as in the calculus, or with Riemann sums, but using countable partitions of the domain into measurable sets. This one-shot approach works for bounded or unbounded functions and for sets of finite or infinite measure.

The author's style is graceful and pleasant to read. The explanations are exceptionally clear. Someone looking for an introduction to Lebesgue integration could scarcely do better than this text.

―John Erdman
Portland State University

This is an excellent book. Several features make it unique. The author gets through the standard canon in only 150 pages and then arranges the material into easily digestible units (a proof hardly ever exceeds three-fourths of a page). The author writes with concision, clarity, and focus.

―Robert Burckel
Kansas State University

This text achieves its worthy goals. The author tends to the business at hand. The short chapter on Lebesgue integration is refreshing and easily understood. One can use a semester covering the book, and the students will be well-grounded in the basics and ready for any of a dozen possible second semesters.
―Joseph Diestel
Kent State University

H.S. Bear is a professor at the University of Hawaii, Manoa and a member of both the American Mathematical Society and the Mathematical Association of America.

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## 1.A Primer of Lebesgue Integration

Editorial: Elsevier
ISBN 10: 0120839717 ISBN 13: 9780120839711
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Majestic Books
(London, ,, Reino Unido)
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Descripción Elsevier. Estado de conservación: New. pp. 164 This item is printed on Demand. Nº de ref. de la librería 5361984

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## 2.PRIMER OF LEBESGUE INTEGRATION, 2ND EDITION

ISBN 10: 0120839717 ISBN 13: 9780120839711
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firstbookstore
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Descripción Estado de conservación: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Nº de ref. de la librería AIND-831

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## 3.PRIMER OF LEBESGUE INTEGRATION, 2ND EDITION

ISBN 10: 0120839717 ISBN 13: 9780120839711
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Descripción Estado de conservación: New. New. US edition. Perfect condition. Customer satisfaction our priority. Nº de ref. de la librería ABE-FEB-15207

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## 4.PRIMER OF LEBESGUE INTEGRATION, 2ND EDITION

ISBN 10: 0120839717 ISBN 13: 9780120839711
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EBOOKSTORE2010
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Descripción Estado de conservación: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Nº de ref. de la librería SHUB15207

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## 5.PRIMER OF LEBESGUE INTEGRATION, 2ND EDITION

ISBN 10: 0120839717 ISBN 13: 9780120839711
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(STERLING HEIGHTS, MI, Estados Unidos de America)
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Descripción Estado de conservación: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Nº de ref. de la librería AUSBNEW-831

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## 6.PRIMER OF LEBESGUE INTEGRATION, 2ND EDITION

ISBN 10: 0120839717 ISBN 13: 9780120839711
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Basi6 International
(Irving, TX, Estados Unidos de America)
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Descripción Estado de conservación: Brand New. New, US edition. Excellent Customer Service. Nº de ref. de la librería ABEUSA-15207

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## 7.A Primer of Lebesgue Integration (Hardback)

Editorial: Elsevier Science Publishing Co Inc, United States (2001)
ISBN 10: 0120839717 ISBN 13: 9780120839711
Nuevos Tapa dura Cantidad: 10
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Book Depository hard to find
(London, Reino Unido)
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Descripción Elsevier Science Publishing Co Inc, United States, 2001. Hardback. Estado de conservación: New. 2nd edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study.Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels. Nº de ref. de la librería EOD9780120839711

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## 8.A Primer of Lebesgue Integration

Editorial: Academic Press (2016)
ISBN 10: 0120839717 ISBN 13: 9780120839711
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Ria Christie Collections
(Uxbridge, Reino Unido)
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Descripción Academic Press, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780120839711_lsuk

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## 9.A Primer of Lebesgue Integration

Editorial: Academic Press (2001)
ISBN 10: 0120839717 ISBN 13: 9780120839711
Nuevos Tapa dura Cantidad: 1
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Herb Tandree Philosophy Books
(Stroud, GLOS, Reino Unido)
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Descripción Academic Press, 2001. Hardback. Estado de conservación: NEW. 9780120839711 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE01194920

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## 10.A Primer of Lebesgue Integration, Second Edition

Editorial: Academic Press (2001)
ISBN 10: 0120839717 ISBN 13: 9780120839711
Nuevos Tapa dura Cantidad: 1
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
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Descripción Academic Press, 2001. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M0120839717

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