What is Field? Understanding its Nature and Properties

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HI,
I wanted to know what is field anyway, Is it wave, particle or some different sort of physical entity.
 
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A field is a function of coordinates and time: f(r,t).

A particle (point-like particle) has three coordinates depending on t: r(t). It is a line in the 3D space.

A filed is normally defined in all points of space.

Example of a scalar filed: pressure in the atmosphere p(r,t).

Example of vector filed: wind velocity in the atmosphere V(r,t).
 
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Mr. Bob, I am very thankful to you about yours response. But sir I am not interested in the mathematical description but rather its physical description. e.g. whether em field really exist, or it is just a mathematical tool.
 
Yes, the EM field exists: it can be received by a radio, TV, etc. Sound waves are also a good example: we hear them at any place of space.
 
Thank You Mr. Bob
 
Yes your are right. But question still remains there. What are exact physical phenomenons working behind these so called force fields?
 
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As for classical fields, one of my teachers, long ago, described them as an "influential domain of a source" (T.K.Ishii). I have always found this to be a satisfying non-mathematical description.

Skippy