Boolean Algebra is the study of the algebra of logic whilst Mathematical logic is a way of applying Boolean algebra. Other applications include set theory, digital logic and probability.
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Algebra is a very broad topic covering all sorts of things, including Boolean algebra. Boolean algebra in itself is the study of a variable called "Boolean." This variable can only take two values: true and false. See 'related links' for more information.
George Boole introduced Boolean Algebra in 1847 as a response to an ongoing debate between two mathematicians at the time. Boolean Algebra captures essential properties of both set operations and logic operations.
A keyword search searches for exact word when a boolean search looks for synonym's. The difference between a keyword search and a boolean search is the focus of the search. A keyword search is a search for an exact word. A boolean search is a search for a synonym.
Algebra is a form (or subset) of mathematics.
algebra 1a is the first part of algebra 1 and algebra 1b is the second part. :)