A User-Friendly Introduction to Lebesgue Measure and Integration (Paperback)

Lingua: inglese

Editore: American Mathematical Society, Providence, 2015

1470421992 / 9781470421991

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Venditore AbeBooks dal 22 giugno 2007

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Paperback. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Codice articolo 9781470421991

Titolo
A User-Friendly Introduction to Lebesgue Measure and Integration (Paperback)
Autore
Gail S. Nelson
Editore
American Mathematical Society, Providence
Anno di pubblicazione
2015
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1470421992
ISBN 13
9781470421991

AussieBookSeller

Truganina, VIC, Australia

Venditore con 5 stelle

Venditore AbeBooks dal 22 giugno 2007

Tariffe di spedizione da Australia a U.S.A.

ArticoloDa 25 a 45 giorni lavorativiDa 8 a 14 giorni lavorativi
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