The word "mathematics" comes from the Greek word, máthema which means "science, knowledge, or learning."
             Mathematics is a broad-ranging field of study in which the properties and interactions of idealized objects are examined. Whereas mathematics began merely as a calculational tool for computation and tabulation of quantities, it has blossomed into an extremely rich and diverse set of tools, terminologies, and approaches which range from the purely abstract to the utilitarian. In other words, it is a form of communication, a kind of strange language in which complete sentences must have something called an equals sign or some other equally strange symbol.
             The term "mathematics" is often shortened to "math" in informal American speech and, consistent with the British penchant for adding superfluous letters, "maths" in British English.
             The word Algebra comes from the Arabic al-jabr, which means putting together different parts, or a reunion of parts. In Algebra the main economic activity is the study of number systems. It is used to find solutions of one or several algebraic equations, involving the polynomial functions of one or several variables.
             The study of structure starts with numbers, first the familiar natural numbers and integers and their arithmetical operations, which are recorded in elementary algebra. The deeper properties of whole numbers are studied in number theory. The investigation of methods to solve equations leads to the field of abstract algebra, which, among other things, studies rings and fields, structures that generalize the properties possessed by the familiar numbers. The physically important concept of vectors, generalized to vector spaces and studied in linear algebra, belongs to the two branches of structure and space.
             Analysis, utilizes the concepts and methods of the calculus, the backbone of wh
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