For self-study in tensor analysis and group theory, particularly with a focus on theoretical physics, several key recommendations emerged. "Groups, Representations and Physics" by Jones is highlighted as an excellent introductory text for group theory. Additionally, a thread on tensor analysis was suggested for further exploration. The individual seeking guidance expressed a desire to strengthen their mathematical foundation, particularly in algebra and differentiable manifolds, after encountering challenges in mechanics. They have already studied mathematical analysis, algebra, mathematical physics, probability, and ordinary differential equations. Another recommended resource is "Groups and their Graphs" by Israel Grossman and Wilhelm Magnus, noted for its effectiveness as an introductory book.
