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He used algebra from geometrical operations and replaced them with the arithmetical type of operations and algebra. He was also the first to define monomials. Monomials:
A monomial is an expression in algebra that contains one term. -
In Iraq, Muhammad created a book containing steps and procedures to solving equations. He was a Persian Muslim scholar in Baghdad who worked in mathematics, astronomy, and geography during the Abbasid Caliphate. The Abbasid Caliphate:
This was a historical period lasting to the Mongol conquest of Baghdad in 1258 and is considered the Islamic Golden Age. -
Pythagoras was a greek philosopher and is known for creating the theoreum in geometry. He became convinced that the whole universe was based on numbers, and that the planets and stars moved according to mathematical equations and algebra.
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Diophantus created many key ideas to algebraic problems and solutions to find rational solutions to equations with many unknown numbers. Diophantine equations can be defined as polynomial equations with coefficients for integer solutions. Through his years his goal was to determine if a problem has infinitely many, or a finite number of solutions.
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He is known for spreading hindu and arabic in europe. He created a systematic study of methods for solving quadratic equations which involved a central concern of Islamic mathematicians. He introduced uses for the Arabic numerals 0 through 9 to the Western part of Europe. The book revolutionized science and technology and he also established the basis of modern arithmetic, algebra and more.
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Copernicus discovered that the sun is in the center of the universe by using mathematics and science. Copernicus wrote a manuscript which summarized his planetary system theory involving mathematical formulas and algebra.
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He began to seek structures in algebras, instead of using only numbers he used objects. He showed the associative properties and commutative properties of the objects he observed.
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He discovered finding roots for polynomial equations. He made huge contributions to abstract algebra. He proved that it is impossible to solve a fifth-degree polynomial using radicals.
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He developed the Boolean algebra in which he constructed properties of algebra of in which logical problems can be solved by a process of formal calculation.
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Emmy was a german mathmatician who made discoveries about noncommutive algebra properties. Noether also focused on, linear transformations, and commutative number fields. Noether made contributions to both algebra and physics. And later on began teaching at the University of Gottingen.
