Algebra Index

In computer games you can run, jump, search for secret items, play games, use algebra to play letters, numbers, symbols, and find secret ones.

After learning a few "techniques" it is an interesting challenge to think about how to use your skills to solve each "puzzle".

In algebra, it is a broad field of mathematics, abstract algebra (sometimes called modern algebra) is a study of algebraic structure. Algebraic structures include groups, rings, bodies, modules, vector spaces, lattices, and algebras. The term algebraic abstraction was built to distinguish research in this field from other algebra in the early 20th century. Like other mathematics, specific problems and examples play an important role in the development of abstract algebra. By the end of the nineteenth century, many things - perhaps most of them - were somewhat related to the theory of algebraic equations. The main topics are as follows.

From the end of the 19th century to the beginning of the 20th century, the mathematical method changed dramatically. Abstract algebra appeared at the beginning of the 20th century and appeared in the name of modern algebra. That research is part of a more rigorous field of mathematics. Originally, the assumption of classical algebra depended on mathematics as a whole (and the main part of natural science), but it was in the form of an axiom system. Mathematicians are no longer satisfied with the nature of constructing concrete objects, but we are starting to pay attention to general theory. The formal definition of a specific algebraic structure began to appear in the 19th century. For example, the results of various permutations can be seen as examples of general theorems including general concepts of abstract groups. The structure and classification of various mathematical objects is the most important issue

Because of its generality abstract algebra is used in many areas of mathematics and science. For example, the algebraic topology examines the topology using algebraic objects. The Poincaré prediction confirmed in 2003 claims that the manifold of basic sets that encode connectivity information can be used to determine whether a manifold is spherical. Algebraic number theory studies various digital loops that promote integer sets. Using algebraic number theory tools, Andrew Wiles proved Fermat's last theorem