Vector Analysis is a branch of mathematics that deals with vectors and vector spaces. It is a fundamental tool in a wide variety of fields, including physics, engineering, and computer science. Synonyms for Vector Analysis include Vector Calculus, Multivariable Calculus, and Differential Geometry. Vector Calculus is the most commonly used term and refers to the study of how vectors change in space and time. Multivariable Calculus is another term frequently used to describe Vector Analysis, and it refers to the study of functions of more than one variable. Differential Geometry is a more advanced field that combines Vector Analysis with topology and the study of curves and surfaces in space.