The mathematical scientist models natural phenomena by translating experimental
results and theoretical concepts into mathematical expressions
containing numbers, variables, functions, and operators. Then, using accepted
methods of mathematical reasoning, these expressions are carefully
manipulated or transformed into other expressions that reveal new knowledge
about the phenomenon being studied. This mathematical approach
to understanding the world has been an important component of the scientific
method in the physical sciences since the time of Galileo and Descartes.
Following in the footsteps of these scientists, Isaac Newton used this approach
to formulate an axiomatic, quantitative description of the motion of
objects. By using mathematical reasoning, he discovered the universal law
of gravitation and derived additional laws that describe the motion of the
tides and the orbits of the planets. Thus the science we call mechanics was
born, and the technique of manipulating and transforming mathematical
expressions was firmly established as an important tool for discovering new
knowledge about the physical world.
The mathematical scientist models natural phenomena by translating experimentalresults and theoretical concepts into mathematical expressionscontaining numbers, variables, functions, and operators. Then, using acceptedmethods of mathematical reasoning, these expressions are carefullymanipulated or transformed into other expressions that reveal new knowledgeabout the phenomenon being studied. This mathematical approachto understanding the world has been an important component of the scientificmethod in the physical sciences since the time of Galileo and Descartes.Following in the footsteps of these scientists, Isaac Newton used this approachto formulate an axiomatic, quantitative description of the motion ofobjects. By using mathematical reasoning, he discovered the universal lawof gravitation and derived additional laws that describe the motion of thetides and the orbits of the planets. Thus the science we call mechanics wasborn, and the technique of manipulating and transforming mathematicalexpressions was firmly established as an important tool for discovering newknowledge about the physical world.
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