This proceedings volume covers the main fields of mathematics: analysis, algebra and number theory, geometry and topology, combinatorics and graphs, applied mathematics, numerical analysis and computer mathematics, probability and statistics, teaching and popularization of mathematics.

This volume presents introductory lectures on the Standard Model and Higgs physics, as well as QCD. These lectures provided the particle physics background for the main topics of the school: astroparticle physics and modern cosmology.

The NATO Advanced Study Institute 2000 was held in Cascais, a small town located in a renowned beach resort area, near Lisbon. The aim of the Meeting was to provide an overview and to cover the recent devel opments in some of the most important topics in Particle Physics and Cosmology, including Neutrino Physics, CP violation, B-Physics, Baryo genesis, Dark Matter, Inflation, Supersymmetry, Unified Theories, Large Extra-Di~ensions and M-theory. In the NATO ASI 2000, we had the priv ilege to have among the lecturers, some of the most prominent physicists working in the fields of Particle Physics and Cosmology. Furthermore, there was a strong participation by a large number of young scientists, including graduate students and post-docs who had an opportunity to learn about the latest developments in the field and discuss the various topics with lec turers and other participants. The enthusiasm of the young participants, the generosity of the lecturers in giving their time to participate in open discussions and debates, together with the social events and the pleasant environment of Cascais, all contributed to the great success of the Meeting. We are very grateful to Camara Municipal de Cascais for their support and organization of the reception in the beautiful Palace Condes Castro de Guimaraes and we are also specially grateful to colonel Eugenio de Oliveira for his support, to commander A. Monteiro de Macedo and to Mr.

The topic of the CVIII session of the Ecole de Physique des Houches, held in July 2017, was Effective Field Theory in Particle Physics and Cosmology. Effective Field Theory (EFT) is a general method for describing quantum systems with multiple length scales in a tractable fashion. It allows to perform precise calculations in established models (such as the Standard Models of particle physics and cosmology), as well as to concisely parametrise possible effects from physics beyond the Standard Models. The goal of this school was to offer a broad introduction to the foundations and modern applications of Effective Field Theory in many of its incarnations. This is all the more important as there are preciously few textbooks covering the subject, none of them in a complete way. In this book, the lecturers present the concepts in a pedagogical way so that readers can adapt some of the latest developments to their own problems. The chapters cover almost all the lectures given at the school and will serve as an introduction to the topic and as a reference manual to students and researchers.

The 16 articles presented here are based on lectures given at the Winter School on Mirror Symmetry held at Harvard University in January 1999. They represent recent progress and new directions in the field. Specific topics include Floer homology and mirror symmetry, special Lagrange fibrations, special Lagrangian submanifolds, and local mirror symmetry at higher genus. Other topics include homological mirror symmetry with higher products, categorical mirror symmetry in the elliptic curve, Lagrangian torus fibration of quintic hypersurfaces, mirror symmetry and T-duality, and mirror symmetry and actions of Braid groups on derived categories. This work lacks a subject index. c. Book News Inc.

This book is a collection of lectures given in August 2006 at the Les Houches Summer School on "Particle Physics and Cosmology: the Fabric of Spacetime. It provides a pedagogical introduction to the various aspects of both particle physics beyond the Standard Model and Cosmology of the Early Universe, covering each topic from the basics to the most recent developments.· Provides a pedagogical introduction to topics at the interface of particle physics and cosmology· Addresses each topic from the basis to the most recent developments· Provides necessary tools to build new theoretical models addressing various issues both in cosmology and particle physics· Covers the lectures by internationally-renowned and leading experts· Faces the predictions of theoretical models against collider experimental data as well as from cosmological observations

A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.