Symmetry: A Mathematical Exploration

Symmetry can be defined as a type of invariance. It refers to the property of a mathematical object remaining unchanged under a set of operations or transformations. Symmetry deals with the identification and use of invariants for any of the various transformations for any paired dataset and characterizations associated with it. In mathematics, all kinds of structures have their own kind of symmetry. For instance, a matrix is symmetric if the original matrix is equal to its transposed version. An integration of applied mathematics with symmetry may work as a powerful instrument for reducing and solving varied problems. There are several applications of symmetry in mathematics. Some of these include matrices, groups, tensors, quantum mechanics, probability theory, and differential equations. This book investigates the role of symmetry in mathematics in detail. Through it, we attempt to further enlighten the readers about the new concepts in this area of study. Students, researchers, experts, and all associated with the application and study of symmetry will benefit alike from this book.