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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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Gail S. Nelson, Carleton College, Northfield, MN, USA.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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A User-Friendly Introduction to Lebesgue Measure and Integration
Edité par
American Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Neuf
Couverture souple
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
Évaluation du vendeur 5 sur 5 étoiles
Etat : 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. . . . . N° de réf. du vendeur V9781470421991
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A User-Friendly Introduction to Lebesgue Measure and Integration
Edité par
American Mathematical Society, US, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Neuf
Paperback
Vendeur : Rarewaves.com UK, London, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Paperback. Etat : 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. N° de réf. du vendeur LU-9781470421991
Quantité disponible : 1 disponible(s)
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Nelson, G: A User-Friendly Introduction to Lebesgue Measure
Edité par
American Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : 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 . N° de réf. du vendeur 595975021
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A User-Friendly Introduction to Lebesgue Measure and Integration
Edité par
American Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Neuf
Paperback
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : 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. N° de réf. du vendeur LU-9781470421991
Quantité disponible : 1 disponible(s)
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User-Friendly Introduction to Lebesgue Measure and Integration
Edité par
American Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Ancien ou d'occasion
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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A User-friendly Introduction to Lebesgue Measure and Integration
Edité par
Amer Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Neuf
Paperback
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Paperback. Etat : Brand New. 221 pages. 8.25x5.50x0.50 inches. In Stock. N° de réf. du vendeur __1470421992
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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
Edité par
American Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Neuf
Couverture souple
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : 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. N° de réf. du vendeur V9781470421991
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User-Friendly Introduction to Lebesgue Measure and Integration
Edité par
American Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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User-Friendly Introduction to Lebesgue Measure and Integration
Edité par
American Mathematical Society, 2015
ISBN 10 : 1470421992
ISBN 13 : 9781470421991
Neuf
Couverture souple
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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