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"Engineering is the application of scientific, economic, social, and practical knowledge in order to design, build, and maintain structures, machines, devices, systems, materials and processes. It may encompass using insights to conceive, model and scale an appropriate solution to a problem or objective."--Wikipedia

Related to every science is a division of engineering. In many cases, subtopics of a science can spawn a division of engineering such as nuclear engineering and genetic engineering. Further there may be interdisciplinary divisions of engineering that require knowledge of two or more sciences such as environmental engineering.

The principles of engineering are usually founded on the principles of an associated science, but there may only be practical knowledge involved as when a new division of engineering is in formation or as has occurred in the historical evolution of various engineering disciplines.

Most engineering disciplines are founded on scientific principles. However, engineering may require a level of trial-and-error experimentation to compensate for a lack of rigorous scientific knowledge or a lack of exact mathematical formulas with which to solve a specific problem. Specifically, when mathematical approximations are the only recourse to solving a problem, trial-and-error experimentation may be required. This occurs frequently when mathematical theorems only provide infinite series or other infinite expressions as a solution to or proof of a result. For example, a problem that requires the roots of a fifth order polynomial will likely require an approximation.

Typically engineering problems are sufficiently complex that their solution will requires many approximations whose cumulative effect simply cannot be predicted by science or mathematics. In such cases, trial-and-error experimentation, experience and intuition are the only resources available to the engineer.

Engineering graduates are the highest paid of all professions, and among engineering professions, petroleum engineering is the highest paid followed by electrical engineering.

On the left menu bar is a list of the most common forms of engineering. For each area we will describe the objectives of that division, the typical problems faced and the education and knowledge needed to enter that field.