What are Algebra and Discrete Mathematics?
Discrete mathematics, sometimes called finite mathematics, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. Most, if not all, of the objects studied in finite mathematics are countable sets, such as the integers. Algebra (or abstract algebra) is the field of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. Most authors nowadays simply write algebra when referring to abstract algebra. Contemporary mathematics, engineering, and science make intensive use of abstract algebra and discrete mathematics; for example, theoretical physics draws on Lie algebras. Fields such as algebraic number theory, algebraic topology, and algebraic geometry apply algebraic methods to other areas of mathematics. At the same time, algebra and discrete mathematics are used in various applied areas such as cryptography, coding theory, and search algorithm
Related Questions
- A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 meters, assuming the width to be x, form an equation in x and solve it to find the value of x.
- How hard is Discrete Mathematics and linear algebra?
- What is the square root of 3?
