These following facts about algebra should probably give you much information about this part of mathematics. Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form algebra is is the study of symbols and the rules for manipulating symbols and is a unifying thread of all of mathematics.As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings and fields. Furthermore, to get to know more about this, here are some facts about algebra you might be interested in.
Facts about algebra 1: Basic Parts of Algebra
The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is 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.
Facts about algebra 2: Meanings
For historical reasons, the word “algebra” has several related meanings in mathematics, as a single word or with qualifiers. Such a situation, where a single word has many meanings in the same area of mathematics, may be confusing. However the distinction is easier if one recalls that the name of a scientific area is usually singular and without an article and the name of a specific structure requires an article or the plural.
Facts about algebra 3: Etymology
Algebra originally referred to a surgical procedure, and still is used in that sense in Spanish, while the mathematical meaning was a later development.
Facts about algebra 4: History
The start of algebra as an area of mathematics may be dated to the end of 16th century, with Francois Viete’s work. Until the 19th century, algebra consisted essentially of the theory of equaations. In the following, “Prehistory of algebra” is about the results of the theory of equations that precede the emergence of algebra as an area of mathematics.
Facts about algebra 5: Prehistory
The roots of algebra can be traced to the ancient Babylonians, who developed an advanced arithmetical system with which they were able to do calculations in an algorithmic fashion. The Babylonians developed formulas to calculate solutions for problems typically solved today by using linear equations, quadratic equations and indeterminate linear equations.
Facts about algebra 6: Areas in Mathematics
Some areas of mathematics that fall under the classification abstract algebra have the word algebra in their name; linear algebra is one example. Others do not: group theory, ring theory, and field theory are examples.
Facts about algebra 7: Teaching Algebra
Since 1997, Virginia Tech and some other universities have begun using a personalized model of teaching algebra that combines instant feedback from specialized computer software with one-on-one and small group tutoring, which has reduced costs and increased student achievement.
Facts about algebra 8: Abstract Algebra
Abstract algebra extends the familiar concepts found in elementary algebra and arithmetic of numbers to more general concepts. Here are listed fundamental concepts in abstract algebra.
Facts about algebra 9: Applications
Algebra has applications at every level of human life, from the simplest day-to-day mathematical situations to the most complicated problems of space science.
Facts about algebra 10: Higher Forms of Algebra
Other forms of algebra have been developed to deal with more difficult and special kinds of problems. Matrix algebra, as an example, deals with sets of numbers that are arranged in rectangular boxes, known as matrices (the plural form of matrix). Two or more matrices can be added, subtracted, multiplied, or divided according to rules from matrix algebra.
Hope you would find those algebra facts really interesting, useful and helpful for your additional reading.