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A User-Friendly Introduction to Lebesgue Measure and Integration (Student Mathematical Library) - Softcover
Inhaltsangabe
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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Über die Autorin bzw. den Autor
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)
Verlag:
American Mathematical Society (edition ), 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
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A User-Friendly Introduction to Lebesgue Measure and Integration
Verlag:
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
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Zustand: 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. . . . . Bestandsnummer des Verkäufers V9781470421991
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Nelson, G: A User-Friendly Introduction to Lebesgue Measure
Verlag:
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
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Softcover
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Zustand: 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 . Bestandsnummer des Verkäufers 595975021
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A User-Friendly Introduction to Lebesgue Measure and Integration
Verlag:
American Mathematical Society, US, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
Neu
Paperback
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers LU-9781470421991
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A User-Friendly Introduction to Lebesgue Measure and Integration
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A User-Friendly Introduction to Lebesgue Measure and Integration
Verlag:
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
Neu
Paperback
Anbieter: Rarewaves.com USA, London, LONDO, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: 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. Bestandsnummer des Verkäufers LU-9781470421991
Anzahl: 1 verfügbar
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A User-Friendly Introduction to Lebesgue Measure and Integration
Verlag:
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
Neu
Softcover
Anbieter: Kennys Bookstore, Olney, MD, USA
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Zustand: 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. Bestandsnummer des Verkäufers V9781470421991
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User-Friendly Introduction to Lebesgue Measure and Integration
Verlag:
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
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Softcover
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User-Friendly Introduction to Lebesgue Measure and Integration
Verlag:
American Mathematical Society, 2015
ISBN 10: 1470421992
ISBN 13: 9781470421991
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Softcover
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