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Annali della Scuola normale superiore di Pisa
"Elenco degli alunni esciti dalla Scuola... [1850-95]"; v. 12, p. [1]-XXX
Introduction to Measure Theory and Integration
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.
Lectures on Elliptic Partial Differential Equations
The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
Security for Ubiquitous Computing
* Ubiquitous computing refers to computers embedded in everyday devices communicating with each other over ad-hoc wireless networks * Focuses on two very hot topics: ad-hoc wireless networking and security * Covers security issues for well-established and widely used technologies such as GSM, Bluetooth, and IP * Presents a framework to make sense of the many and varied issues at stake, a taxonomy of the major problems and in-depth discussion of some specific, cutting-edge solutions * Includes a primer on security and the basics of cryptography * Describes the security issues in "peer-to-peer networking," a new technology that is gaining prominence in the media with applications such as Napster and ICQ Chat
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