The paper is a survey on the non-archimedean analysis with a selection of those notions and results published in the last thirty years that are involved, as important tools of study, in the recent researches of local and global analysis on manifolds, and also in many other mathematical and physical domains. Because of the length limitation,the survey does not contain proofs. These can be found in the indicated references. The original results of the author in the last sections are placed. These are focused on the structure equations, the ultrametric volume formula on a typical subbundle, and the absolute curvature of a p-adic manifold immersed in a finite dimensional Banach space.