Nature+of+Mathematics

Type in the content of your new page here.

Homework Discussion and Criticism

Try to explain the nature and use of: geometry; algebra;statistics; probability theory.

The Greek Eudema of Rhodes, attributed to the discovery of geometry to the Egyptians because they constantly needed to measure their lands due to flooding of the Nile continually erased their borders. Recall that, precisely, the word means far geometry lands.

The Egyptians were mainly focused on the calculation of areas and volumes, finding, for example in the area of a circle worth approximately (3'1605. However, the development lacks geometric theorems and formal demonstrations. We also find rudiments of trigonometry and basic similarity of triangles.

Algebra is a branch of mathematics concerning the study of structure, relation and quantity. The name is derived from the treatise written by the Persian[1] mathematician, astronomer, astrologer and geographer

Algebra is much broader than elementary algebra and can be generalized. In addition to working directly with numbers, algebra covers working with symbols, variables, and set elements. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.

The statistics is a branch of mathematics which deals with the collection, study and interpretation of data obtained in a study. It applies to a wide variety of disciplines, from physics to social science, health sciences like psychology and medicine, and used in decision-making in areas of business and government institutions.

The scientific study of probability is a modern development. The gaming show that there has been an interest in quantifying the ideas of probability for millennia, but the exact mathematical descriptions useful in these problems arose only much later.

The probability measures the frequency with which an outcome occurs in an experiment under conditions sufficiently stable. The probability theory is used extensively in areas such as statistics, math, science and philosophy to draw conclusions about the probability of occurrence and potential underlying mechanics of complex systems.

Edit by Paul Vergara