Elementary particle physics is the quadrant of nature whose laws can be written in a few lines with absolute precision and the greatest empirical adequacy. The lectures presented in this book introduce students and interested readers to the entire subject in a compact way. It details the current theory of ElectroWeak interactions after one year of operation of the Large Hadron Collider at CERN in Geneva, focusing on open questions that the experiments might allow to answer.
Elementary particle physics is the quadrant of nature whose laws can be written in a few lines with absolute precision and the greatest empirical a...
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved...
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond...
This volume covers the regularity theory for elliptic systems. Ideal for students, it illustrates basic ideas and techniques and serves as an excellent introduction to the subject. Suitable for a 2-semester course on PDEs.
This volume covers the regularity theory for elliptic systems. Ideal for students, it illustrates basic ideas and techniques and serves as an excellen...
This volume presents an introductory course on differential stochastic equations and Malliavin calculus. The material of the book has grown out of a series of courses delivered at the Scuola Normale Superiore di Pisa (and also at the Trento and Funchal Universities) and has been refined over several years of teaching experience in the subject. The lectures are addressed to a reader who is familiar with basic notions of measure theory and functional analysis. The first part is devoted to the Gaussian measure in a separable Hilbert space, the Malliavin derivative, the construction of the...
This volume presents an introductory course on differential stochastic equations and Malliavin calculus. The material of the book has grown out of a s...
The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their function fields. The correspondences of this with other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links with arithmetic are also often indicated. There are three appendices, concerning Hilbert s Nullstellensatz (for which several proofs are provided),...
The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and import...
