http://dspace.univ-relizane.dz/home/handle/123456789/27 Sun, 31 May 2026 07:29:49 GMT 2026-05-31T07:29:49Z http://dspace.univ-relizane.dz/home/handle/123456789/945 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. Mon, 20 Oct 2025 00:00:00 GMT http://dspace.univ-relizane.dz/home/handle/123456789/945 2025-10-20T00:00:00Z http://dspace.univ-relizane.dz/home/handle/123456789/630 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. Wed, 29 May 2024 00:00:00 GMT http://dspace.univ-relizane.dz/home/handle/123456789/630 2024-05-29T00:00:00Z http://dspace.univ-relizane.dz/home/handle/123456789/629 Title: MULTILINEAR ALGEBRA (I) Authors: BEDDANI, Charef Abstract: This course is an introduction to multilinear algebra which builds on the idea of linear algebra. We study the properties of mappings of several variables that are linear in each variable separately. Some applications about symmetric, alternating forms and quadratic forms are given. Wed, 29 May 2024 00:00:00 GMT http://dspace.univ-relizane.dz/home/handle/123456789/629 2024-05-29T00:00:00Z http://dspace.univ-relizane.dz/home/handle/123456789/628 Title: Espaces vectoriels normés Authors: DJOURDEM, Habib Abstract: Ce polycopié s’adresse aux étudiants inscrits en troisième année licence mathématiques et couvre l’ensemble des cours du module intitulé espaces vectoriels normés que j’ai le privilège de diriger à l’université Ahmed-ZABANA de Relizane. L'objectifs de ce cours est d'apprendre aux étudiants l’importance de l’espace de Banach et la particularité de l’espace Hilbert comme étant une classe des espaces normés. Sat, 10 Oct 2020 00:00:00 GMT http://dspace.univ-relizane.dz/home/handle/123456789/628 2020-10-10T00:00:00Z