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Mathematicians
Often, to completely understand the importance of a mathematical theory, it's essential to know about the person who developed it. This category is where all questions about historically significant mathematicians should be asked.
6,570 Questions
When did Isaac Newton invent calculus?
Isaac Newton published a partial account of his theory of calculus in 1693 and a full account in 1704. According to his friends he had worked it out years before. The late date of publishing led to controversy at the time.
Leibniz, a German mathematician published his method for calculus in 1684 before Newton. Leibniz insisted he had discovered calculus first, Newton disputed this strongly claiming Leibniz had stolen his work. This whole dispute lead to a general dislike and distrust of German scientists by English scientists, and of English scientists by German scientists.
Most modern historians believe Newton and Leibniz discovered calculus independently.
- Euler proved that the fifth Fermat number 210 + 1 isn't prime.
- He proved that all even perfect numbers can be expressed as N = 2p-1(2p-1), where p is some prime number.
- He found 60 amicable numbers at a time when only 3 were known.
- He was the first person to use the symbol e to represent the irrational number 2.7128...
- He proved that e is irrational.
- He popularized the symbol À for the irrational number 3.1415...
- He introduced the symbol Σ to represent summation.
- He showed that powers could be imaginary or complex numbers.
- He developed the trigonometric expansion of À/2.
- He invented graph theory.
- He developed the Euler's constant, which is an approximation of the sum of the harmonic series.
- He proved Fermat's last theorem for n = 4; i.e that x4 + y4 = z4 can't be solved with positive integers for x, y, and z.
- He developed the notation f(x) for functions.
- He found the geometric result known as Euler's characteristic, V + F - E where V is the number of vertices, F is the number of faces, and E is the number of edges of a polyhedra that is topologically equivalent to a sphere, which directly lead to the invention of the mathematical discipline known as topology.
- He developed Euler's formula, eix = cos(x) + isin(x), where i is the imaginary number.
- He invented the mathematical discipline known as the calculus of variations.
- He introduced the zeta function as an infinite series, ζ(s) = Σ∞n=1(1/ns), and related it to an infinite product over all of the prime numbers pn, ζ(s) = Π∞n=1(1-1/pns)-1.
yes, it is true that rene descartes argued that stimulation of a sense organ resulted in a reflective response or reflex!
Can the philosophies of Francis Bacon and René Descartes be used today?
Their fundamental ideas can. Certain parts of their theories such as Cartesian physics have been generally rejected, but their fundamental approaches are still valuable today.
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Who was Dr Srinivasa Ramanujan?
Dr. Srinivasa Ramanujan was an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made substantial contributions to mathematical analysis, number theory, infinite series and continued fractions.
He blessed people's throats and cured the sick under the power of God.
Leibnizs calculator is simply an improsive version of the adding machine.This machine could perform multiplication and division as well.Talking about the history of a machine it was invented by a German mathematician Gottifried
Criticism and support towards Rene descartes?
Rene Descartes, a true Renaissance man who was prominent and made brilliant findings in mathematics, science, philosophy and metaphysics. However, he has been criticized about his methodological skepticism and suggestion that a modern metaphor of the world might be an â??intricate machineâ??.
Who are some famous Indian Mathematicians?
One famous Indian Mathematician is Srinivasa Ramanujan. Also, some other famous Indian Mathematicians include: Narayana Pandit, Raj Chandra Bose, and M. S. Narasimhan.
Were there any outcomes from Rene descartes work?
Yes as for example the French mathematician Rene Descartes created coordinated geometry which is plotted on the Cartesian plane.
Explain how to find the terms of Fibonacci sequence?
If the Fibonacci sequence is denoted by F(n), where n is the first term in the sequence then the following equation obtains for n = 0.
What were Charles Babbage's qualifications?
Charles Babbage studied at Trinity and Peterhouse Colleges, at Cambridge University, where he earned a bachelor's degree in Mathematics in 1814, followed by a master's degree in the subject in 1817.
He was also intellectually brilliant and well-read.
How do you calculate the length of s hypotenuse using Pythagoras theorem?
In a right triangle, square the lengths of the other two sides and add them together. The length of the hypotenuse will be the positive square root of that number.
What does it mean when there is a math problem with an explanation point next to the number?
the product of an integer and all the integers below it; e.g., factorial four ( 4!) is equal to 24
The exclamation point stands for factorial. 4! = 4 x 3 x 2 x 1
What is John Locke's Interpretation of Rene Descartes Wax Example?
In Descartes' Wax Example, he describes a wax candle heating up and changing all of the properties we can perceive, yet we still perceive it to be wax, which he explains is a result of our intellectual sense of substance. Locke expands on this with his idea of substratum, the substance of a thing that is free of characteristics. However, he believes the substratum is imperceptible because it cannot be sensed in a physical way and rejects Decartes notion of the intellectual sense.
