Isomorphism is a concept in mathematics and other fields that refers to the idea that two structures or systems are essentially the same or have the same underlying properties, even if they may appear different on the surface. In mathematics, isomorphism typically refers to mappings or transformations between mathematical objects that preserve their fundamental properties. Isomorphism is also used in fields such as sociology, biology, and computer science to compare and analyze different systems or structures. The study of isomorphism can provide insights into the relationships between seemingly unrelated phenomena and help to identify common underlying principles.