Algebra FAQs:

Q: Is algebra the study of mathematical symbols and the rules for manipulating these symbols?

A: Yes, it is a unifying thread of almost all of mathematics.

Q: Is algebra also used in certain specialized ways?

A: Yes.

Q: Is algebra called elementary algebra?

A: Yes, and the more abstract parts are called abstract algebra or modern algebra.

Q: Is algebra one example?

A: Yes.

Q: Is algebra the factorization of polynomials?

A: Yes, and that is, expressing a given polynomial as a product of other polynomials that can not be factored any further, and the computation of polynomial greatest common divisors.

Q: Is algebra called an "algebra"?

A: Yes, and the word is used, for example, in the phrases linear algebra and algebraic topology.

Q: Is algebra the most basic form of algebra?

A: Yes.

Q: Is algebra the study of commutative rings?

A: Yes, and which are commutative algebras over the integers.

Q: Is algebra identified with the theory of equations?

A: Yes, and the Greek mathematician Diophantus has traditionally been known as the "father of algebra" but in more recent times there is much debate over whether al-Khwarizmi, who founded the discipline of al-jabr, deserves that title instead.

Q: Is algebra a major area in advanced mathematics?

A: Yes, and studied primarily by professional mathematicians.

Q: Is algebra also used extensively in 11-Number theory and 14-Algebraic geometry?

A: Yes.

Q: Is algebra generally considered to be essential for any study of mathematics?

A: Yes, and science, or engineering, as well as such applications as medicine and economics.

Q: Was algebra extended to other non-numerical objects?

A: Yes, and such as vectors, matrices, and polynomials.

Q: Was algebra developed in the 19th century?

A: Yes, and deriving from the interest in solving equations, initially focusing on what is now called Galois theory, and on constructibility issues.

Q: Was algebra further developed?

A: Yes.

Q: Is algebra called an algebraist?

A: Yes.

Q: Was algebra the general algebraic solution of the cubic and quartic equations?

A: Yes, and developed in the mid-16th century.