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A User-friendly Introduction to Lebesgue Measure and Integration (Student Mathematical Library) (Student Mathematical Library, 78) - Softcover
Synopsis
A User-Friendly Introduction to Lebesgue Measure and Integration provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students for what they may encounter in graduate school, but will be useful for many beginning graduate students as well. The book starts with the fundamentals of measure theory that are gently approached through the very concrete example of Lebesgue measure. With this approach, Lebesgue integration becomes a natural extension of Riemann integration. Next, $L^p$-spaces are defined. Then the book turns to a discussion of limits, the basic idea covered in a first analysis course. The book also discusses in detail such questions as: When does a sequence of Lebesgue integrable functions converge to a Lebesgue integrable function? What does that say about the sequence of integrals? Another core idea from a first analysis course is completeness. Are these $L^p$-spaces complete? What exactly does that mean in this setting? This book concludes with a brief overview of General Measures. An appendix contains suggested projects suitable for end-of-course papers or presentations. The book is written in a very reader-friendly manner, which makes it appropriate for students of varying degrees of preparation, and the only prerequisite is an undergraduate course in Real Analysis.
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About the Author
Gail S. Nelson, Carleton College, Northfield, MN, USA.
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A User-friendly Introduction to Lebesgue Measure and Integration (Student Mathematical Library) (Student Mathematical Library, 78)
Published by
American Mathematical Society (edition ), 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
Used
Paperback
Seller: BooksRun, Philadelphia, PA, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Seller Inventory # 1470421992-11-1
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User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
New
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 24902778-n
Quantity: 1 available
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User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
Used
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 24902778
Quantity: 1 available
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A User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, US, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
New
Paperback
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. A User-Friendly Introduction to Lebesgue Measure and Integration provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students for what they may encounter in graduate school, but will be useful for many beginning graduate students as well. The book starts with the fundamentals of measure theory that are gently approached through the very concrete example of Lebesgue measure. With this approach, Lebesgue integration becomes a natural extension of Riemann integration.Next, $L^p$-spaces are defined. Then the book turns to a discussion of limits, the basic idea covered in a first analysis course. The book also discusses in detail such questions as: When does a sequence of Lebesgue integrable functions converge to a Lebesgue integrable function? What does that say about the sequence of integrals? Another core idea from a first analysis course is completeness. Are these $L^p$-spaces complete? What exactly does that mean in this setting?This book concludes with a brief overview of General Measures. An appendix contains suggested projects suitable for end-of-course papers or presentations.The book is written in a very reader-friendly manner, which makes it appropriate for students of varying degrees of preparation, and the only prerequisite is an undergraduate course in Real Analysis. Seller Inventory # LU-9781470421991
Quantity: 1 available
Stock Image
A User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
New
Softcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. Provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students for what they may encounter in graduate school, but will be useful for many beginning graduate students as well. Series: Student Mathematical Library. Num Pages: 221 pages, illustrations. BIC Classification: PBK. Category: (G) General (US: Trade). Dimension: 143 x 216 x 15. Weight in Grams: 270. . 2015. Paperback. . . . . Seller Inventory # V9781470421991
Quantity: 1 available
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A User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
New
Softcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students for what they may encounter in graduate school, but will be useful for many beginning graduate students as well. Series: Student Mathematical Library. Num Pages: 221 pages, illustrations. BIC Classification: PBK. Category: (G) General (US: Trade). Dimension: 143 x 216 x 15. Weight in Grams: 270. . 2015. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9781470421991
Quantity: 1 available
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User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
New
Softcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 24902778-n
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A User-friendly Introduction to Lebesgue Measure and Integration
Published by
Amer Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
New
Paperback
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 221 pages. 8.25x5.50x0.50 inches. In Stock. Seller Inventory # __1470421992
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User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
Used
Softcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 24902778
Quantity: 2 available
Seller Image
A User-Friendly Introduction to Lebesgue Measure and Integration
Published by
American Mathematical Society, US, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
New
Paperback
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. A User-Friendly Introduction to Lebesgue Measure and Integration provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students for what they may encounter in graduate school, but will be useful for many beginning graduate students as well. The book starts with the fundamentals of measure theory that are gently approached through the very concrete example of Lebesgue measure. With this approach, Lebesgue integration becomes a natural extension of Riemann integration.Next, $L^p$-spaces are defined. Then the book turns to a discussion of limits, the basic idea covered in a first analysis course. The book also discusses in detail such questions as: When does a sequence of Lebesgue integrable functions converge to a Lebesgue integrable function? What does that say about the sequence of integrals? Another core idea from a first analysis course is completeness. Are these $L^p$-spaces complete? What exactly does that mean in this setting?This book concludes with a brief overview of General Measures. An appendix contains suggested projects suitable for end-of-course papers or presentations.The book is written in a very reader-friendly manner, which makes it appropriate for students of varying degrees of preparation, and the only prerequisite is an undergraduate course in Real Analysis. Seller Inventory # LU-9781470421991
Quantity: 1 available