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His achievements span mathematics (he set the basis for chaos theory), physics (his mathematical methods are still used in studying elementary particles), philosophy (his framework for exploring scientific theories is still controversial) and the psychology of creativity (he studied the workings of the unconscious).
Mathematical methods are required, like having a computer generate all possible trees -- a number that quickly runs way beyond the trillions -- and then deciding statistically which class of trees is more probable than the rest.
Mathematical methods are also widely used.
Mathematical methods are introduced to differentiate functions and structures.
To estimate them, some new mathematical methods are proposed.
Together with specialties from related disciplines such as bioinformatics and biophysics, mathematical methods are applied increasingly to biological systems.
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While Galileo's application of mathematics to experimental physics was innovative, his mathematical methods were the standard ones of the day, including dozens of examples of an inverse proportion square root method passed down from Fibonacci and Archimedes.
Yang's "Mathematical Methods" was compiled with a pedagogic perspective.
In the 18th century new mathematical methods were developed, largely in France, to treat perturbations more efficiently.
First, modern mathematical methods were to be represented in formal deductive systems.
Mathematical methods were used to describe dependencies between the tested variables.
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CEO of Professional Science Editing for Scientists @ prosciediting.com