From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (…) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (…)" The Mathematical Gazette (75.1991.471)

The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde's resp.).

Addio ansiolitici, antidepressivi e fiori di Bach, bye bye strizzacervelli e guru motivazionali: il rimedio più efficace ed economico per i disturbi che tormentano corpo e anima dell'uomo moderno si chiama Storia. Basta scorrere i secoli passati per capire che, a dispetto di quel che vuol farci credere un'informazione chiassosa e piagnona, stiamo vivendo uno dei momenti più positivi, confortevoli e ricchi di opportunità dall'apparizione dell'uomo sulla Terra: rendersene conto significa sentirsi già meglio.

Addressed to both pure and applied probabilitists, including graduate students, this text is a pedagogically-oriented introduction to the Schwartz-Meyer second-order geometry and its use in stochastic calculus. P.A. Meyer has contributed an appendix: "A short presentation of stochastic calculus" presenting the basis of stochastic calculus and thus making the book better accessible to non-probabilitists also. No prior knowledge of differential geometry is assumed of the reader: this is covered within the text to the extent.