### Algebra -- from Wolfram MathWorld

The word "algebra" is a distortion of the Arabic title of a treatise by al-Khwārizmī about algebraic methods. In modern usage, algebra has several meanings. One use of the word "algebra" is the abstract study of number systems and operations within them, including such advanced topics as groups, rings, invariant theory, and cohomology. This is the meaning mathematicians associate with the ...

### Modern Algebra: An Introduction: John R. Durbin ...

Engineers and computer scientists who need a basic understanding of algebra will benefit from this accessible book. The sixth edition includes many carefully worked examples and proofs to guide them through abstract algebra successfully.

### Visual Linear Algebra: Eugene A. Herman, Michael D. Pepe ...

A difference you can see! Featuring a unique blend of interactive computer tutorials and student-centered text, Herman and Pepe’s Visual Linear Algebra offers an innovative new way to learn linear algebra. This text and accompanying CD work together to help students achieve a thorough understanding of core concepts and the skills they need to apply them.

### Group theory - Wikipedia

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms.Groups recur throughout mathematics, and the methods of group theory have influenced many ...

### The Development of Mathematics « Mathematical Science ...

The Development of Mathematics, in a Nutshell. Though mathematical knowledge is ancient, stretching back to the Stone Age, the evolution of mathematics to its current modern state has seen fundamental changes in concepts, organization, scope, outlook, and practice.Without understanding the evolution of mathematical thought, it is difficult to appreciate modern mathematics in its contemporary ...

### Well-defined - Wikipedia

In mathematics, an expression is called well-defined or unambiguous if its definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well-defined or ambiguous. A function is well-defined if it gives the same result when the representation of the input is changed without changing the value of the input.