Quantum field theoryPath integral | S Matrix | Quantum electrodynamics
Theory of relativitySpecial theory of relativity | General theory of relativity
Algebra for dummies
Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.A typical algebraic equation contains variables and terms
one or more v values of the variable are usually solutions to algebraic equation. Algebra was first combined with geometry by Rene Descates to study coordinate geometry. This was a revolution in mathematics and science. Coordinates are levels for points in two or more dimensional space.
RamanujanRamanujan was an Indian born mathematician and algebraist. He developed many theorems of algebra. One of his discoveries is the formula of number three(3).
He was invited to Oxford from great mathematician Tomas Hardy. Ramanujan had no idea how he invented the equations. He claimed that he saw those eqations in his dreams. Hardy was very much reluctant to accept all his formulas because those had no proof. Ramanujan was a man of great mystery.