What Is Abstract Algebra

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Daily chaos

Daily Chaos

Of Algebra is the abstract encapsulation of our intuition for composition By composition we mean the concept of two object coming together to form a new one For example adding two numbers multiplying two numbers or composing real valued single variable functions As we shall discover the seemly simple idea of composition hides vast Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. This course is an introduction to abstract algebra. We will spend most of our time studying groups.

$Math 113 summer 2014$

Math 113 Summer 2014

What Is Abstract AlgebraThe central idea behind abstract algebra is to deﬁne a larger class of objects (sets with extra structure), of which Z and Q are deﬁnitive members. (Z,+) −→ Groups Abstract algebra is a broad field of mathematics concerned with algebraic structures such as groups rings vector spaces and algebras Roughly speaking abstract algebra is the study of what happens when certain properties of number systems are abstracted out for instance altering the definitions of the basic arithmetic operations result