METHOD OF FLUXIONS Meaning and
Definition
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Method of fluxions is a mathematical technique developed by Sir Isaac Newton which forms the basis of differential calculus. It is a systematic approach to finding the rate of change of a variable function, known as its derivative. The method involves considering a function as a sequence of infinitesimally small increments and approximating the change in the function over a given interval. By analyzing these infinitesimal changes, the method of fluxions allows us to determine the instantaneous rate of change of the function at any point.
The core concept behind the method of fluxions is the notion of fluxions, which represent the infinitesimally small changes in a function at an instant. These fluxions are represented by the variable "x" and are denoted as dx. By examining the relationship between the changes in the dependent variable (such as time or distance) and the independent variable (such as position or velocity), the method of fluxions enables the calculation of derivatives.
The method of fluxions can be seen as a precursor to modern calculus, as it laid down the foundational principles and techniques of differential calculus. It provides a powerful tool for analyzing the behavior of functions and solving complex problems related to rates of change. Moreover, the method forms an essential part of Newton's work on the laws of motion and his theory of gravitation, allowing him to understand and describe the motion of celestial bodies.
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