Education
Calculus comes from the Latin word for ‘pebble’ the primitive method of counting whose influence is also visible in the English word ‘calculation’.
The calculus had its origin in the logical difficulties encountered by the ancient Greek mathematicians in their attempt to express their intuitive ideas in the ration or proportionalities of line, which vaguely recognized as continuous, in terms of numbers, which they regarded as discrete.
Indian mathematicians produced a number of works with some ideas of calculus. The formula for sum of the curve was first written by Aryabhata in 500 AD, order to find the volume of a cube, which was an important step in the development of integral calculus.
Methods for finding tangents were pioneered by Pierre Fermant (1601-1665), Isaac Barrow (1630-1677) and others. Barrow – who taught at Cambridge and was a major influence on Newton – was the first to understand the inverse relationship between differentiation and integration.
The analysis of problems, together with the free use of the suggestive infinitesimal and the more extensive application on numerical concept, led within a short time to the algorithms of Newton and Leibniz, which constitute the calculus.
Isaac Newton (1642-1727) developed calculus independently of Leibniz and applied it to the dynamics of bodied in Principia Mathematica, possibly the most important scientific treatise ever written.
He used variational principles to determine the shape of a body moving in air that encounters the least resistance.
Gottfried Wilhelm Leibniz was the other inventor of calculus. During his time, he and Newton argued over ten ownerships of their discoveries, each staking a claim as the inventor of calculus. This dogfight eventually involved many prominent mathematicians all over Europe. The dispute later known as the “Great Sulk”
Although both were instrumental in its creation, they thought of the fundamental concept in very different ways. While Newton considered variables changing with time, Leibniz thought of variables x and y as ranging over sequences of infinitely close values. For Newton the calculus was geometrical while Leibniz took it towards analysis.
Together with linear algebra including vector and matrix calculus introduced in the 1950s, calculus toady forms the core of mathematics education at the university levels, and simplified forms thereof fill the mathematics curricula in secondary schools.
History of calculus
- Isaac Newton Full Biography
Philosopher, Astronomer, Physicist, Scientist, Mathematician (1643–1727) English physicist and mathematician Sir Isaac Newton, most famous for his law of gravitation, was instrumental in the scientific revolution of the 17th century. SynopsisBorn on...
- Newton's Formula For Velocity Of Sound
Velocity Of sound in depends on the two factors:- Modulus of elasticityDensity of medium.By dimension method we can derive the formula for velocity of sound in any medium . We get:- where c is velocity...
- Laws Of Radioactive Decay
The Radioactive Decay Law Let us now use some symbols to reduce the amount of writing we have to do to describe what is going on and to avail ourselves of some mathematical techniques to simplify the situation...
- Mathematics Syllabus For Entrance By Ioe
MATHEMATICS SyllabusUnit I. Set and Function:Set and relations, Functions and graphs, Algebraic, Trigonometric, Exponential, Logarithmic and hyperbolic functions and their inverses.Unit II. Algebra:Determinats, matrices, Inverse of a matrix, uses of complex...
- Early History Of Artificial Intelligence
In the 800s BC, the Iliad described the winged Talos, a bronze automation forged by Hephaestus to protect Crete. Aristotle’s logic was developed and expanded on by later philosophers, mathematicians and logicians. The Aristotelian approach to logic...
Education
History of calculus
Calculus comes from the Latin word for ‘pebble’ the primitive method of counting whose influence is also visible in the English word ‘calculation’.
The calculus had its origin in the logical difficulties encountered by the ancient Greek mathematicians in their attempt to express their intuitive ideas in the ration or proportionalities of line, which vaguely recognized as continuous, in terms of numbers, which they regarded as discrete.
Indian mathematicians produced a number of works with some ideas of calculus. The formula for sum of the curve was first written by Aryabhata in 500 AD, order to find the volume of a cube, which was an important step in the development of integral calculus.
Methods for finding tangents were pioneered by Pierre Fermant (1601-1665), Isaac Barrow (1630-1677) and others. Barrow – who taught at Cambridge and was a major influence on Newton – was the first to understand the inverse relationship between differentiation and integration.
The analysis of problems, together with the free use of the suggestive infinitesimal and the more extensive application on numerical concept, led within a short time to the algorithms of Newton and Leibniz, which constitute the calculus.
Isaac Newton (1642-1727) developed calculus independently of Leibniz and applied it to the dynamics of bodied in Principia Mathematica, possibly the most important scientific treatise ever written.
He used variational principles to determine the shape of a body moving in air that encounters the least resistance.
Gottfried Wilhelm Leibniz was the other inventor of calculus. During his time, he and Newton argued over ten ownerships of their discoveries, each staking a claim as the inventor of calculus. This dogfight eventually involved many prominent mathematicians all over Europe. The dispute later known as the “Great Sulk”
Although both were instrumental in its creation, they thought of the fundamental concept in very different ways. While Newton considered variables changing with time, Leibniz thought of variables x and y as ranging over sequences of infinitely close values. For Newton the calculus was geometrical while Leibniz took it towards analysis.
Together with linear algebra including vector and matrix calculus introduced in the 1950s, calculus toady forms the core of mathematics education at the university levels, and simplified forms thereof fill the mathematics curricula in secondary schools.
History of calculus
- Isaac Newton Full Biography
Philosopher, Astronomer, Physicist, Scientist, Mathematician (1643–1727) English physicist and mathematician Sir Isaac Newton, most famous for his law of gravitation, was instrumental in the scientific revolution of the 17th century. SynopsisBorn on...
- Newton's Formula For Velocity Of Sound
Velocity Of sound in depends on the two factors:- Modulus of elasticityDensity of medium.By dimension method we can derive the formula for velocity of sound in any medium . We get:- where c is velocity...
- Laws Of Radioactive Decay
The Radioactive Decay Law Let us now use some symbols to reduce the amount of writing we have to do to describe what is going on and to avail ourselves of some mathematical techniques to simplify the situation...
- Mathematics Syllabus For Entrance By Ioe
MATHEMATICS SyllabusUnit I. Set and Function:Set and relations, Functions and graphs, Algebraic, Trigonometric, Exponential, Logarithmic and hyperbolic functions and their inverses.Unit II. Algebra:Determinats, matrices, Inverse of a matrix, uses of complex...
- Early History Of Artificial Intelligence
In the 800s BC, the Iliad described the winged Talos, a bronze automation forged by Hephaestus to protect Crete. Aristotle’s logic was developed and expanded on by later philosophers, mathematicians and logicians. The Aristotelian approach to logic...