الصفحة 1
الصفحة 1
Méthodes mathématiques en chimie quantique : Une introduction = Mathematical methods in quantum chemistry : An introduction
This book presents the mathematical foundations of several models of quantum chemistry. It is intended for graduate students in mathematics (and possibly also for scientists from physics or chemistry interested in understanding the formal underpinnings of their models), and introduces techniques and methods from several mathematical fields, in particular variational techniques, nonlinear analysis, spectral theory and partial differential equations theory.
Mathématiques, informatique, physique. Au fil des TIPE = Mathematics, computer science, physics : Throughout the TIPE projects
Presents nine cases in mathematics, physics, or computer science used in the competition. Each case study is accompanied by general remarks, commentary, a suggested outline, questions a jury might ask, and an explanation placing the case study's theme within its scientific context. The authors hope not only to assist CPGE students in their preparation but also to provide valuable support to teachers who have embraced this new pedagogical approach. Laurent Decreusefond and Alain Maruani, the pedagogical coordinators for the mathematics, computer science, and physics component of the TIPE, have made significant contributions to its design and implementation.
Mathématiques de base pour économistes = Basic Mathematics for Economists
This book contains fundamental elements of mathematics and includes the following elements: notion of logic, propositions, theorems, sets, relations and functions; graphical representations of functions, economic applications of lines and functions, sequences, limits and first derivative, differential economic applications of derivatives; integrals: undefined and defined with economic applications; mathematical series; functions of several variables, partial derivatives, Lagrange multiplier with economic applications; linear algebra: matrix calculus, system of linear equations, vectors, differential calculus in matrix form.
Ensembles ordonnés finis : concepts, résultats et usages = Finite ordered sets : concepts, results and uses
The concepts of order, classification, storage are presented in many activities and human situations. The mathematical formalization of these notions first allowed the great development of the theory of lattices, then that of more general ordered structures, in particular those relating to discrete mathematics.
Eléments dhistoire des mathématiques = Elements of the history of mathematics
Brings together the historical notes published in the various books of mathematics elements by the author. They therefore concern all the matters covered in this treaty: set theory, algebra, topology, functions of a variable real, topological vector spaces, integration, commutative algebra, groups and Lie algebras. Composed of initially separate studies, this work does not claim to sketch a followed and complete history of development of mathematics. The interweaving of the different themes and the unity of the point of view ensure the deep consistency.
