Geometry

Geometry is one of the oldest branches of mathematics. It is interested in all things related to shape, size, space, figures and positions. In its simplest forms, geometry is concerned with lengths of shapes and objects, its area and or its volume. The visual aspect of geometry makes it more tangible than more abstract branches such as algebra or calculus, but complex geometry can get just as abstract as the other branches.

Geometry started out as a means of measurement. Formulas such as the Pythagorean theorem and area of a circle allowed surveyors and builders to find out lengths and distances that could not have been measured by had or by a straight edge. This type of geometry can be traced to 2000 BC. By the 7^th century BC, geometry was used to calculate distances between two far away objects, such as a ship from the shore or a bridge from a mountain, or the height of structures such as the pyramids.

Although when we think about geometry, we automatically assume that numbers represent the values. This concept is not always so straightforward (http://en.wikipedia.org/wiki/Geometry):

"In ancient Greece the Pythagoreans considered the role of numbers in geometry. However, the discovery of incommensurable lengths, which contradicted their philosophical views, made them abandon (abstract) numbers in favor of (concrete) geometric quantities, such as length and area of figures. Numbers were reintroduced into geometry in the form of coordinates by Descartes, who realized that the study of geometric shapes can be facilitated by their algebraic representation. Analytic geometry applies methods of algebra to geometric questions, typically by relating geometric curves and algebraic equations. These ideas played a key role in the development of calculus in the 17th century and led to discovery of many new properties of plane curves. Modern algebraic geometry considers similar questions on a vastly more abstract level."

We might consider geometry to a subject we learn in middle school, but the discipline of geometry is so engrained in many sciences and other branch of mathematics that even the most math savvy students might have a hard time wrapping their head around some of the more complex concepts. If you are a high school student struggling in math class or a math major in college that needs to cram for a final, you can do yourself a favor by looking below and finding a private geometry tutor that can provide for all your geometry needs.

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