http://dspace.univ-relizane.dz/home/handle/123456789/27 2026-06-21T05:41:05Z 2026-06-21T05:41:05Z Cheikh, GUENDOUZ http://dspace.univ-relizane.dz/home/handle/123456789/959 2026-06-08T12:21:40Z 2026-05-25T00:00:00Z

Title: COMPLEX ANALYSIS Authors: Cheikh, GUENDOUZ Abstract: This course provides an introduction to the theory of functions of a complex variable and presents the fundamental concepts and techniques of Complex Analysis. It aims to develop a solid understanding of differentiable complex functions, their principal properties, and some important applications in mathematics. The course begins with a review of the topology of the complex plane, including basic notions and geometric properties. It then introduces complexvalued functions, their limits, continuity, and differentiability. Special attention is given to elementary complex functions such as exponential, logarithmic, trigonometric, and hyperbolic functions. The theory of complex integration is subsequently developed, covering contour integrals and the main results associated with analytic functions. The course also studies power series representations, including Taylor and Laurent expansions, which play a central role in the local analysis of complex functions. Finally, the residue theorem and its applications are presented. These applications include the evaluation of certain definite and improper integrals, as well as the summation of series. Throughout the course, theoretical results are illustrated with examples and exercises to facilitate understanding and practical mastery of the subject. Keyword : Topology in the comp

2026-05-25T00:00:00Z Abderrahim, Zagane http://dspace.univ-relizane.dz/home/handle/123456789/956 2026-06-01T12:30:49Z 2026-05-25T00:00:00Z

Title: Courbes et surfaces Authors: Abderrahim, Zagane Abstract: Ce document présente les concepts fondamentaux relatifs aux courbes et aux surfaceset s’adresse principalement aux étudiants de master en géométrie différentielle. Il couvre leprogramme de première année de master et est présenté sous forme de cours magistraux détaillés,accompagnés d’exemples et d’exercices corrigés.

2026-05-25T00:00:00Z Slimane, Mehdi http://dspace.univ-relizane.dz/home/handle/123456789/945 2026-05-20T14:29:51Z 2025-10-20T00:00:00Z

Title: ALGEBRA (4) Lessons and Exercises Authors: Slimane, Mehdi Abstract: This course is an introduction to algebra 4 which builds on the idea of linear algebra. We study the properties of mappings of several variables that are linear in each variable separately. Chapters one and two are reviews of vector spaces, linear transformations and the inner product spaces. Then we discuss Linear forms and Duality in chapter three. Afterward some applications about Bilinear forms are given in chapter four. Finally, in chapter five treats the Quadratic and Hermitian forms and their classifications.

2025-10-20T00:00:00Z BEDDANI, Charef http://dspace.univ-relizane.dz/home/handle/123456789/630 2025-05-12T12:57:45Z 2024-05-29T00:00:00Z

Title: MULTILINEAR ALGEBRA (II) Authors: BEDDANI, Charef Abstract: There are several ways to construct new vector spaces from a family of vector spaces over the same field. Two of the most important of these constructions are the direct sum and the vector space of all linear transformations. This course introduces a basic concept which has a major importance in many areas of sciences such as applied mathematics, physics and engineering, called tensor product, that combines two vector spaces V and W into a new vector space VW.

2024-05-29T00:00:00Z