The term Renaissance man or polymath is used for a very clever person who is good at many different things. It has two major branches differential calculus ( concerning instantaneous rates of change slopes of curves. For example 2) - tensor; an inner product is an example of a ( 0 2. The idea comes from a time of history called the Renaissance which lasted from about 1400 to about 1600.
Calculus ( from Latin calculus, literally ' small pebble', used for counting and calculations, as on an abacus) is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus ( concerning instantaneous rates of change and slopes of curves. This table shows important examples of tensors on vector spaces and tensor fields on manifolds.
The tensors are classified according to their type ( n, m), where n is the number of contravariant indices, m is the number of covariant indices, and n + m gives the total order of the tensor. For example, a bilinear form is the same thing as a ( 0, 2) - tensor; an inner product is an example of a ( 0, 2.