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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

Did Copernicus have any friends?

Yes, Copernicus had friends and collaborators who supported his work, such as mathematician and astronomer Georg Joachim Rheticus and bishop Tiedemann Giese. His heliocentric model of the universe faced resistance from some of his contemporaries, but he also found supporters among the scientific community.

Where can I see a picture of Isaac Newton?

You can find pictures of Isaac Newton by doing an internet search or by visiting websites like Wikipedia or the Isaac Newton Institute for Mathematical Sciences.

What did Newton and Leibniz do?

Amongst other things they independently invented calculus. Newton probably made the first discovery, but delayed publishing for many years. Leibniz also held off publishing for a long time, waiting, apparently for Newton to do it. Eventually Leibniz published anyway. They became bitter rivals.

Nicolaus Copernicus was the first person to?

This is true. He was the first person to state that Earth orbits the Sun.

Comment : That's not exactly correct. For example there was a philosopher in Ancient Greece who made this suggestion.

Was the heliocentric system Copernicus' invention?

No, the heliocentric system was proposed by Copernicus in the 16th century, but the idea had been suggested by ancient Greek astronomers like Aristarchus of Samos. Copernicus's model placed the Sun at the center of the solar system, with Earth and other planets orbiting around it.

What is the planets that have been discovered by Copernicus?

I believe you are asking about the heliocentric system wich Copernicus suggested at a time where the earth was believed to be the epicenter of the solar system. Go to related links for more information.

What did Ludwig Boltzmann do?

Ludwig Boltzmann was an Austrian physicist known for his work in statistical mechanics and the development of the kinetic theory of gases. He formulated the statistical definition of entropy and made significant contributions to the understanding of the behavior of atoms and molecules in gases. Boltzmann's work laid the foundation for the field of statistical thermodynamics.

Why is mandelbrot so important to us?

Benoit Mandelbrot was a French/American Computer Scientist and Mathematician who worked on interesting problems.

One of those problems had to do with Mathematical oddities. While an IBM Fellow, he entered some of the formulas into a computer program and printed out the results that revolutionized Chaos science and brought to the public the Mandelbrot Sets. They looked somewhat like Seahorses, yet when he printed out zoomed versions he kept seeing more Seahorses.

What he saw was a vastly complicated shape made up of smaller and smaller versions of itself, and the deeper he went, the theme changed but he found yet more smaller versions of the shape. He named the whole thing fractals.

The funny thing is all this complexity came from a single class of Mathematical formulas, called recursives. Basically, the computer program plugs some numbers into the formula, then feeds the result back into the formula, and does it again, letting the number go out and then back in, branching off into another set of calculations.

Another funny thing that people after him discovered while playing with the same type of formulas shook Science. ALL OF IT.

Fractals replicated life. The twirling of cream in a cup of coffee, the swirl of cigarette smoke. Mountains. Coastlines. The curves of a pepper. The shape of a tree. The vortex of a Tornado. The changing form of clouds. The Rings of Saturn. The majestic turbulence of Galaxies. The Mathematical Oddity was the accidental discovery of an inner working of the Universe.

We left the Newtonian view of the Universe - where everything can be eventually broken down and decoded. And we entered a wild, woolly, riotous Reality.

Mandelbrot's curious shapes expanded our ability to model the physical world, and the principles are in use in Finance, the Stock Market, the Biotech industries, Astronomy, Physics, Quantum Dynamics, Oceanography, Medical science, Populations, Genetics, Governance, Infectious diseases. Practically every avenue of research grappling with the curiosities of the world around us employ the curious discovery of Dr. Benoit Mandelbrot.

ID0403095245 is paullwolborsky - I registered after answering.

ADDENDA

If you want to make the trip from the Euclidian universe you've lived in all of your life to the fantastical world of stubborn conundrum there is no need to find a rabbit hole. All you need is a handy coastline.

The whole investigation leading to Fractals started with a 1967 paper 'How long is the Coast of Britain'. The Coastline paradox have been a paramount paradox for a long time. It postulates if you have enough initiative to measure the coast with a Yardstick you will arrive at one number. If you still have time left in the day before Tea you could start again with a 12" ruler. When by the end of that long day you finish, you will arrive at a larger number. The paradox concludes if you measured with a 0" ruler, you could arrive at infinity assuming infinity was sufficiently cooperative.

This paper was cited by a wide variety of other papers over time in the Journal Science. You can get a sampling of papers citing this seminal document that illustrates how far and wide fractals are used at the link I've added.

What did Eudoxus believe was the center of the universe?

Eudoxus believed that the Earth was the center of the universe, with the stars, planets, and the Sun orbiting around it in perfect circular motion. This geocentric model was later refined and expanded upon by other ancient Greek astronomers.

What is Nicholas Copernicus' favourite music?

Nicholas Copernicus lived during the Renaissance period, so he would have likely enjoyed music from that time, such as Gregorian chants, early polyphony, and instrumental pieces like dances and madrigals. However, there is no record of his specific favorite music.

Did Isaac Newton have a grandma?

Yes, Isaac Newton had a grandmother. Her name was Margery Ayscough. She was the mother of his father, Isaac Newton Sr.

What impact did Nicolaus Copernicus have on the renaissance?

Nicolaus Copernicus had a significant impact on the Renaissance by challenging the geocentric view of the universe with his heliocentric model. His work laid the foundation for modern astronomy and led to a fundamental shift in our understanding of the cosmos. Copernicus's ideas also sparked further scientific inquiry and exploration during the Renaissance period.

What were Isacc newton's acknowledgements?

Isaac Newton acknowledged the contributions of several scientists and thinkers who came before him, such as Galileo, Kepler, and Descartes. He also credited the support and assistance of colleagues and friends like Edmond Halley and John Flamsteed in his work on the laws of motion and the law of universal gravitation.

What is the contribution of Aristotle in microbiology?

Aristotle did not directly contribute to microbiology, as this field of study developed centuries after his time. Aristotle's main contributions were in the fields of biology, philosophy, and logic, where he laid the groundwork for the scientific method and classification of living organisms.

Was Copernicus burned at the stake?

No, Nicolaus Copernicus was not burned at the stake. He died of a stroke in 1543, before his heliocentric theory gained widespread acceptance. His theory, which proposed that the Earth and other planets revolve around the Sun, was later supported by evidence and became the foundation of modern astronomy.

How the accomplishments of nicolaus Copernicus helped change European society?

Copernicus used early trigonometry to show that the observations of the movements of the planets in the sky are most easily explained by assuming that the Earth and other planets orbited around the Sun. He published this in 1543 in Poland. Copernicus also made contributions to Mathematics.

It had previously been assumed that the Earth was the centre of the universe and that all other bodies revolved around the Earth. This appeared obvious to ancient astronomers since the heavenly bodies all rose in the East and set in the West. The planets (wanderers) altered their places in the sky relative to other bodies and this was explained by assuming that their motions executed circles within circles. However, in order to fit observations, this had to be carried to a ridiculous extreme.

The theory that all other bodies revolved around the Earth had become part of religious dogma, so was vehemently opposed by the church.

Copernicus's doctrine was opposed by the church for many years. In 1616 the Catholic church declared that it was contrary to the scriptures. Galileo had been a champion of Copernicus in Italy and was forced to recant and spent the rest of his life (1564-1642) under house arrest by order of the inquisition.


He proposed a heliocentric system that Earth orbits the sun. apex cx

What is nicolaus Copernicus favorite song?

As a well-known astronomer and mathematician in the 16th century, Nicolaus Copernicus did not have a favorite song recorded in historical documents. His focus was on revolutionizing the understanding of the cosmos, particularly with his heliocentric model of the solar system.

How is Bernoulli's principle explained by blowing over a strip of paper?

When you blow over a strip of paper, the faster-moving air above the paper creates lower pressure than the air below it. This pressure difference causes the paper to rise towards the area of low pressure, demonstrating Bernoulli's principle, which states that as the speed of a fluid (or air) increases, its pressure decreases.

The difference between Aristotle and ptolemy?

Aristotle was a Greek philosopher who made significant contributions to various fields, including ethics, logic, and metaphysics. Ptolemy, on the other hand, was an astronomer and mathematician who developed the geocentric model of the universe. While Aristotle's work influenced a wide range of disciplines, Ptolemy's contributions were mostly focused on astronomy.

When in a simple pendulum is the string tension greatest least?

The string tension is greatest at the lowest point of the pendulum swing, where the mass is at its lowest position and experiences the highest acceleration. The tension is least at the highest point of the swing, where the string is almost vertical and the force of gravity is mostly perpendicular to the string.

Why was the newton meter for measuring forces named after isaac newton?

The newton meter was named after Isaac Newton to honor his contributions to classical mechanics and his formulation of the laws of motion that govern the behavior of forces acting on objects. Newton's work laid the foundation for our modern understanding of forces and how they interact in the physical world.

Did nicolaus Copernicus live in the middle ages?

Copernicus was born in Toruń on February 19, 1473, and died in Frombork

on May 24, 1543. That period of time was long after the 'Middle Ages', and

well into the Renaissance.

What is the gauss theory?

The Gauss theory, also known as Gauss's law, is a fundamental principle in physics that relates the distribution of electric charge to the resulting electric field. It states that the total electric flux through a closed surface is proportional to the total electric charge enclosed by that surface, divided by a constant. This law is a powerful tool for understanding the behavior of electric fields and is used extensively in electromagnetism.