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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

What phenomonon did Archimedes explain?

Archimedes' Principle states that for a body immersed in a fluid it will experience a buoyant force equal to the weight of the fluid that the body displaces, buoyancy is the phenomenon of concern.

Where did Archimedes travel?

Achimedes was born in Italy and stayed in Greece throughout his life, as far as I know.

What mathematician is credited for first using Ln to abbreviate natural logarithm?

Irving Stringham, a mathematician at the University of California. The 'l' denotes logarithm and the 'n' natural or Naperian, referring to John Napier, a Scottish mathematician credited with the development of logarithmic functions.

Whose principal states that the buoyant force on an object is equal to the weight of the fluid displaced by the object?

Archimedes' principle states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.

Where did Amalie Emmy Noether live?

she was born in germany but since the nazis took over and took all the jews to concentration camps she was forced to move to america and work at bryn mawr college.

When is Aristotle's date of birth?

artistotle was born in Stagira, Chalcidice in 384 B.C. and died in Euboea 322B.C.

Nicolaus otto have a wife and kids?

yes he did so why do you want to know . it is none of your buisness.

What is Pythagoras's findings effect music?

Many European philosophers will call him the father of philosophy. Many scientists will call him the father of science. To musicians, nonetheless, Pythagoras is the father of music. According to Johnston, it was a much told story that one day the young Pythagoras was passing a blacksmith's shop and his ear was caught by the regular intervals of sounds from the anvil. When he discovered that the hammers were of different weights, it occurred to him that the intervals might be related to those weights. Pythagoras was correct. Pythagorean philosophy maintained that all things are numbers. Based on the belief that numbers were the building blocks of everything, Pythagoras began linking numbers and music. Revolutionizing music, Pythagoras' findings generated theorems and standards for musical scales, relationships, instruments, and creative formation. Musical scales became defined, and taught. Instrument makers began a precision approach to device construction. Composers developed new attitudes of composition that encompassed a foundation of numeric value in addition to melody. All three approaches were based on Pythagorean philosophy. Thus, Pythagoras' relationship between numbers and music had a profound influence on future musical education, instrumentation, and composition.

The intrinsic discovery made by Pythagoras was the potential order to the chaos of music. Pythagoras began subdividing different intervals and pitches into distinct notes. Mathematically he divided intervals into wholes, thirds, and halves. "Four distinct musical ratios were discovered: the tone, its fourth, its fifth, and its octave." (Johnston, 1989). From these ratios the Pythagorean scale was introduced. This scale revolutionized music. Pythagorean relationships of ratios held true for any initial pitch. This discovery, in turn, reformed musical education. "With the standardization of music, musical creativity could be recorded, taught, and reproduced." (Rowell, 1983). Modern day finger exercises, such as the Hanons, are neither based on melody or creativity. They are simply based on the Pythagorean scale, and are executed from various initial pitches. Creating a foundation for musical representation, works became recordable. From the Pythagorean scale and simple mathematical calculations, different scales or modes were developed. "The Dorian, Lydian, Locrian, and Ecclesiastical modes were all developed from the foundation of Pythagoras." (Johnston, 1989). "The basic foundations of musical education are based on the various modes of scalar relationships." (Ferrara, 1991). Pythagoras' discoveries created a starting point for structured music. From this, diverse educational schemes were created upon basic themes. Pythagoras and his mathematics created the foundation for musical education as it is now known.

What is Pythagoras the ancient greek mathamatision's work about right angled triangle?

His work on right angle triangles is known as Pythagorases Theorum and it states that.. "The square of the hypotenuse is equal to the sum of the squares of the other two side."

How can you explain Fermat's principle to young kids?

Out of all possible paths that light might take, to get from one point to another, it takes the path that requires the shortest time.