Provide a list of Albert Einstein's mathematical discoveries.

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rogal eNotes educator| Certified Educator

Albert Einstein (1879-1955) was a German-born scientist who made many contributions to the fields of Physics and Mathematics. Some of his mathematical discoveries are:

The theory of relativity

This theory is made up of two theories: theory of special relativity and general relativity. The theory of special relativity proved that the three laws of motion as given by Newton are only approximations which break when velocities approach light. The main result of this theory is Einstein’s famous mass-energy equivalence equation E = mc^2, which states that the energy E of a physical system is equal to the product of its mass (m) and the speed of light (c) squared.

The theory of general relativity proved that the law of gravitation as given by Newton is an approximation which breaks in the presence of strong fields of gravity. It includes a set of ten equations generally called Einstein Field Equations (EFE) that explain the interaction of gravitation when spacetime is curved by mass and energy.

The photoelectric effect

In this theory, Einstein posits that light behaves more like a particle than a wave.

He also contributed to the field of statistical mechanics through papers written on the role of kinetic-molecular theory of heat in the movement of small particles suspended in liquids.

bullgatortail eNotes educator| Certified Educator

Among Albert Einstein's inventions and mathematical/scientific discoveries were:

  • The Atomic Bomb.  Although Einstein was not part of the team which invented the atomic bomb (i.e. the Manhattan Project), his equation--" e=mc² "--was perhaps its most important development.
  • Einstein Refrigerator. The absorption refrigerator uses heat to run and fuel the cooling system; it also has no moving parts.
  • Photoelectric Effect. Einstein determined that light consists of particles (photons), which contained energy, which was
    proportional to that of frequency of radiation. His formula? 
    " E=hu ".
  • General Theory of Relativity. Perhaps his most important and famous act, it states that "gravitational fields are equivalent to accelerations of the frame of reference".
  • Others included the Entwurf Theory; the BoseEinstein condensate phenomenon; the Unified Field Theory; and the Einstein-Cartan Theory.
mkoren eNotes educator| Certified Educator

Albert Einstein made many contributions in many fields. In Mathematics, Albert Einstein is known for his Einstein Field Equations. Published in 1915, these equations deal with the fields of calculus and geometry.

One of Albert Einstein’s most famous contributions is the equation of E=mc². This equation states that energy is equal to mass times the speed of light.

Another contribution that Albert Einstein made was the formula that explained that the invisible motion of the molecules in a liquid caused the visible motion of particles in the liquid.

The photoelectric effect was another contribution that Albert Einstein made. He stated that electrons are released from metal when light is shined on the metal.

Albert Einstein’s contributions were very important. He won the Nobel Prize for some of his work.