Generalized Three-Dimensional Affine Transformation in Mathematics

Every branch of knowledge deals with sets of elements and relationship between these elements. In order to study these, it is useful to study various possible transformations on the elements and to determine which properties remains invariant under these transformations. Each science tries to define concepts, laws and invariance. In physics we consider atoms, electrons, protons, mass, momentum, force, energy, temperature and the structure of relationships among them is expressed by various laws such as Newton’s Law of motion, Law of mass of conservation etc. In chemistry, we consider atomic and molecular structures and the transformations of inorganic and organic substances through chemical reactions. Similarly, Sociologists deal with social transformation, economists with economic transformations, and political scientists with political transformations and so on.