Title
Introduction to Measure Theory and Integration (Publications of the Scuola Normale Superiore, 10),Used
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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 years 20002011. 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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- Q: What is 'Introduction to Measure Theory and Integration' about? A: This textbook serves as an introductory guide to measure theory and integration, focusing on modern perspectives and applications in mathematics, particularly Fourier series and real analysis.
- Q: Who are the authors of this textbook? A: The book is authored by Luigi Ambrosio, who taught the course at the Scuola Normale Superiore.
- Q: What are the prerequisites for reading this book? A: A basic understanding of calculus in one and several variables, metric spaces, and linear algebra is recommended to fully grasp the content.
- Q: How many pages does this book have? A: The textbook contains 187 pages.
- Q: What is the binding type of this book? A: The book is available in paperback binding.
- Q: What condition is the book in? A: The book is classified as being in 'Good' condition.
- Q: When was this book published? A: The book was published on January 1, 2011.
- Q: Is there any solution provided for the exercises in the book? A: Yes, detailed solutions to the exercises are included in the final part of the book.
- Q: What edition is this book? A: This textbook is the First Edition.
- Q: In which category does this book fall? A: The book is categorized under Mathematics.