# Newtons Method Formula

## Newton’s Method Formula

Newtons Method Formula is named after Isaac Newton. The epitome of the 17th-century Scientific Revolution was Isaac Newton, or Sir Isaac Newton (born December 25, 1642 [January 4, 1643, New Style] in Woolsthorpe, Lincolnshire, England—died March 20 [March 31], 1727 in London). Newton was an English physicist and mathematician. His discovery of the elements that make up white light in optics allowed for the integration of colour phenomena into the study of light and created the groundwork for contemporary physical optics. His three laws of motion, which are the cornerstones of contemporary Physics, led to the creation of the law of universal gravitation in Mechanics. He was the first person to discover infinitesimal calculus in Mathematics. One of the most significant pieces of literature in the development of modern Science was Isaac Newton’s Philosophiae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy, 1687).

Newtons Method Formula is an important mathematical concept. The activity of counting, measuring and describing the shapes of objects led to the development of Mathematics, which is also known as the Science of structural relationship and order and is regarded as a logical field of study. Mathematical calculation and logical reasoning are also discussed. Today, the study of Mathematics is referred to as “Mathematics.” Students can understand and solve a variety of issues in both academic and practical contexts with the help of mathematical theories. Solving arithmetic problems is undoubtedly the best brain exercise.

Mathematical concepts have developed over time to become more idealised and abstract. Mathematicians have long researched the topic in a variety of civilizations. Archimedes is regarded as the founding father of Mathematics (287–212 BC). He created methods to calculate a solid’s weight depending on its volume and surface area. The Father of Indian Mathematics is a man by the name of Aryabhatt, who was born in 476 CE.

Since the 17th century, Mathematics has been essential to Technology and the Physical Sciences. Recent forecasts suggest that Mathematics will play a similar role in the quantitative parts of the Life Sciences.

The Pythagoreans were the first people to study Mathematics as a “demonstrative science” in the sixth century BC. The Greek word “mathema,” which means “educational material,” is where the name “Mathematics” originates. Another mathematician named Euclid created axioms, theorems, proofs, and postulates. These are still used in modern Mathematics.

## Newton’s Method Formula

The Newtons Method Formula in numerical analysis bears the names of Joseph Raphson and Isaac Newton. Using this technique, one can find progressively better approximations of a real-valued function’s roots (or zeroes).

The approach begins with a function f defined over the real numbers x, the derivative f’ of the function, and an educated guess x0 for a root of the function f. If the function meets the premises used to derive the formula and the first approximation is reasonable, a better approximation can be obtained x1 will happen.

### Solved Example

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