Lecture Notes (Scuola Normale Superiore)

Introduction to Measure Theory and Integration

Authors: Ambrosio, L., Da Prato, Giuseppe, Mennucci, Andrea C.G.

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  • Good choice of exercises, supplemented with solutions
  • Modern view point on measure theory and integration
  • Classical results and proofs
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eBook 19,99 €
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  • ISBN 978-88-7642-386-4
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Softcover 24,96 €
price for Spain (gross)
  • ISBN 978-88-7642-385-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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About this Textbook

This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting Lebesgue's Euclidean space theory into a more general context and presenting the basic applications to Fourier series, calculus and real analysis. The text can also pave the way to more advanced courses in probability, stochastic processes or geometric measure theory. Prerequisites for the book are a basic knowledge of calculus in one and several variables, metric spaces and linear algebra. All results presented here, as well as their proofs, are classical. The authors claim some originality only in the presentation and in the choice of the exercises. Detailed solutions to the exercises are provided in the final part of the book.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Measure spaces

    Pages 1-22

    Ambrosio, Luigi (et al.)

  • Integration

    Pages 23-43

    Ambrosio, Luigi (et al.)

  • Spaces of integrable functions

    Pages 45-59

    Ambrosio, Luigi (et al.)

  • Hilbert spaces

    Pages 61-72

    Ambrosio, Luigi (et al.)

  • Fourier series

    Pages 73-82

    Ambrosio, Luigi (et al.)

Buy this book

eBook 19,99 €
price for Spain (gross)
  • ISBN 978-88-7642-386-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 24,96 €
price for Spain (gross)
  • ISBN 978-88-7642-385-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Measure Theory and Integration
Authors
Series Title
Lecture Notes (Scuola Normale Superiore)
Series Volume
10
Copyright
2011
Publisher
Edizioni della Normale
Copyright Holder
Scuola Normale Superiore Pisa
eBook ISBN
978-88-7642-386-4
DOI
10.1007/978-88-7642-386-4
Softcover ISBN
978-88-7642-385-7
Edition Number
1
Number of Pages
XIII, 187
Topics