Whether you plan to study or work in Canada, this book will help you with the Expression Oral part to improve your overall score. This book contains more than 150 topics that you might expect at the exam. Both sections are covered in this book (Section A and Section B). It includes handful advice so that you get the most out of this test and succeed. • 150 topics of TEF test for section A and section B • Example sentences for speaking test section A • Example sentences for speaking test section B • How to do it for each test • Common mistakes & tips • Vocabulary list for Oral TEF test • 500 words essential vocabulary Benefit from my experience as a professional French tutor, specialized in oral and exam preparation. I helped thousands of students to improve their French and achieve their goal! To your success! Jean K. MATHIEU

In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.

Ce petit livre recueille les exercices les plus représentatifs posés ou susceptibles d'être posés à l'épreuve orale des concours HEC et ESCP. Ils sont entièrement corrigés et commentés pour faciliter l'entraînement. Ils offrent un panorama complet du programme de mathématiques des classes préparatoires HEC. Les exercices sont répartis en trois matières : algèbre, analyse et probabilités. Chaque chapitre est précédé par une indispensable série de questions de cours, elles permettent à l'étudiant de vérifier ses connaisances de base. Les exercices sont classés dans un ordre de difficultés progressif et leurs solutions, rédigées dans le détail, sont souvent suivies de remarques de méthodologie. Accompagnés du Formulaire, ils forment un duo de base qui accompagne l'étudiant dans sa quête de réussite.

Cet ouvrage Leçons de la seconde épreuve orale présente un choix d’exemples et d’exercices proposés lors de l'oral de l'Agrégation interne de mathématiques.

This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.

Ce premier ouvrage Leçons de la première épreuve orale présente dans le détail des leçons extraites de la liste officielle de la première épreuve orale de l’agrégation interne de mathématiques.