The answer is Arithmetic.
Arithmetic is the study of numbers and their properties. It is a branch of mathematics that deals with the basic operations of addition, subtraction, multiplication, and division. Arithmetic is also concerned with the properties of numbers, such as their order and their divisibility.
Geometry is the study of shapes and their properties. It is a branch of mathematics that deals with the properties of lines, angles, shapes, and solids. Geometry is also concerned with the measurement of shapes and solids.
Algebra is the study of mathematical symbols and their properties. It is a branch of mathematics that deals with the manipulation of symbols and equations. Algebra is also concerned with the solution of equations and problems.
Trigonometry is the study of triangles and their properties. It is a branch of mathematics that deals with the measurement of triangles and their angles. Trigonometry is also concerned with the solution of triangles and problems.
Mathematics is the study of numbers, shapes, and patterns. It is a branch of science that deals with the logic of shape, quantity, and arrangement. Mathematics is also concerned with the application of these concepts to other areas of science and technology.
In the given question, all the options except Arithmetic are branches of mathematics. Arithmetic is a fundamental part of mathematics, but it is not a branch of mathematics in its own right.