Introduction to Measure Theory and Integration Zoom

Luigi Ambrosio, Giuseppe Da Prato and Andrea Mennucci

Introduction to Measure Theory and Integration

pp. xi-187

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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 years2000-2011. 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.

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Ulteriori informazioni

Titolo Introduction to Measure Theory and Integration
Autore Luigi Ambrosio, Giuseppe Da Prato and Andrea Mennucci
Editing/translation No
ISBN 978-88-7642-385-7
Anno di pubblicazione 2011
Oggetto Matematica e storia della matematica
Link acquista http://www.springer.com/birkhauser/mathematics/scuola+normale+superiore/book/978-88-7642-385-7?otherVersion=978-88-7642-386-4
Notes No

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