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http://dspace.centre-univ-mila.dz/jspui/handle/123456789/4104| Title: | AlgebrA 1 |
| Other Titles: | (First-Year Mathematics Bachelor's Course) |
| Authors: | RABAH, BOUOUDEN |
| Issue Date: | 2-Jul-2025 |
| Publisher: | University Center of Abdalhafid Boussouf - MILA |
| Description: | This booklet is specifically designed for first-year LMD students in Mathematics and Computer Science, with the goal of providing a solid foundation in fundamental mathematical concepts. It covers several key topics that are essential for understanding mathematical structures and their applications across various branches of the exact sciences. Chapter 1 introduces the basic concepts of mathematical logic, a fundamental area that helps in formulating precise statements and developing rigorous proofs. This chapter equips students with the logical reasoning skills necessary for their future studies in mathematics. Chapter 2 is entirely dedicated to the study of sets, relations, and functions. These are foundational concepts in mathematics, and the chapter emphasizes set theory, the notion of relations, and how functions and mappings are defined and analyzed. It provides practical tools for solving complex problems in mathematics. In Chapter 3, we delve into algebraic structures, focusing particularly on groups, rings, and fields. These concepts are at the heart of modern algebra and are essential for understanding the various ways in which elements can be combined or manipulated within a given system. Finally, Chapter 4 is devoted to the study of polynomial rings, a key area of algebra. Polynomial rings are fundamental objects in many areas of mathematics and computer science, and this chapter provides a detailed analysis of their properties, operations, and applications. We hope that this booklet will meet the expectations of the students, providing them with a clear and thorough understanding of the topics covered. It is designed not only to provide the necessary knowledge but also to stimulate critical thinking and the application of concepts to real-world situations. At the end of the booklet, we have included a selection of bibliographic references for students who wish to further explore the topics and deepen their understanding of the material presented in this document. |
| URI: | http://dspace.centre-univ-mila.dz/jspui/handle/123456789/4104 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Algebra 1_Bououden.pdf | 778,23 kB | Adobe PDF | View/Open |
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