Science
Scientists study the world as it is; Engineers create the world that has never been. —Theodore von Karman
Engineering is concerned with the design of a solution to a practical problem. A scientist may ask why a problem arises, and proceed to research the answer to the question or actually solve the problem in his first try, perhaps creating a mathematical model of his observations. By contrast, engineers want to know how to solve a problem, and how to implement that solution. In other words, scientists attempt to explain phenomena, whereas engineers use any available knowledge, including that produced by science, to construct solutions to problems. There is an overlap between science (fundamental and applied) and engineering. It is not uncommon for scientists to become involved in the practical application of their discoveries; thereby becoming, for the moment, engineers. Scientists may also have to complete engineering tasks, such as designing experimental apparatus or building prototypes. Conversely, in the process of developing technology engineers sometimes find themselves exploring new phenomena, thus becoming, for the moment, scientists.
However, engineering research has a character different from that of scientific research. First, it often deals with areas in which the basic physics and/or chemistry are well understood, but the problems themselves are too complex to solve in an exact manner. The purpose of engineering research is then to find approximations to the problem that can be solved. Examples are the use of numerical approximations to the Navier-Stokes equations to solve aerodynamic flow over an aircraft. Second, engineering research employs many semi-empirical methods that are foreign to pure scientific research. In general, it can be stated that a scientist builds in order to learn, but an engineer learns in order to build.
Medicine
There are significant parallels between engineering and medicine.[4] Both fields are well known for their pragmatism — the solution to real world problems often requires moving forward before phenomena are completely understood in a more rigorous scientific sense and therefore experimentation and empirical knowledge is an integral part of both. Part of medicine examines the function of the human body. The human body although biological has many functions similar to a machine. The heart for example functions much like a pump, the skeleton is like a linked structure with levers etc. This similarity has led to the development of the field of biomedical engineering that utilizes concepts developed in both disciplines.
Arts
There are also close connections between the workings of engineers and artists; they are direct in some fields, for example, architecture, landscape architecture and industrial design (even to the extent that these disciplines may sometimes be included in a University's Faculty of Engineering); and indirect in others. Artistic and engineering creativity may be fundamentally connected as the case of Leonardo Da Vinci indicates.
Politics
In Political science the term engineering has been borrowed for the study of the subjects of Social engineering and Political engineering that deal with forming political and social structures using engineering methodology coupled with political science principles.