This French-language mathematics textbook is intended for students preparing for or studying in the MP track of the French classes préparatoires system. The title indicates a structured treatment of mathematical analysis, combining explanatory course material with worked methods and solved exercises. With 512 pages, the volume is positioned as a substantial study aid for learners who need rigorous preparation, systematic practice, and clear problem-solving models. The book’s focus is academic rather than recreational: it supports students working through advanced analysis topics at a level associated with competitive entrance preparation for engineering and scientific higher-education programs. As a classroom or self-study resource, it is best understood as a textbook for advanced secondary and early university-level mathematics in the French educational context.