timeline of algebra

timeline of trigonometry – the foundations for algebra were laid by earlier techniques used in geometry and trigonometry

-0250 – “Arithmetica” by Diophantus is a collection of algebraic problems and solutions

0499 – Aryabhata – began basic symbolic algebraic equations using the Hindu decimal number system

0780 – al-Khwarizmi “The Compendious Book on Calculation by Completion and Balancing” used the term “al-jabr” (for completion), creating the field known as Algebra

1048 – Omar Khayyam used geometric conic sections to solve cubic equations

1170 – Fibonacci – “Liber Abacci” translated Arabic mathematics and transferred it to Europe

1545 – Ars Magna published by Cardano, included the solutions to the cubic and quartic equations

1637 – Analytic Geometry developed by Descartes and Fermat merged geometry and algebra

1770 – “Elements of Algebra” published by Euler

1798 – proofs for the fundamental theorem of algebra are offered by first Woods and then Gauss

1830 – “Treatise on Algebra” by Peacock applies logic to symbolic algebra

1832 – Galois theory develops group theory, a part of abstract algebra

1843 – quaternion algebra introduced by Hamilton

1847 – “The Mathematical Analysis of Logic” by Boole creates the field known as Boolean algebra

1901 – “Vector Analysis” by Gibbs builds upon quaternions and vector algebra to create vector calculus

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