Abstract algebra is a field of mathematics that studies groups, fields and rings, which all belong to algebraic structures. Algebraic structure and abstract algebra are actually close to each other due to their similarity in topics.
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I don't think it 'began' as such - algebra is an abstract concept. You may as well ask how did painting begin, or how did singing begin.
Well, honey, there's no official "Algebra 3" course recognized by most education systems. Typically, after Algebra 2, students move on to more advanced math courses like pre-calculus or calculus. But hey, if you want to create your own Algebra 3 course and teach the world your math wizardry, go for it!
Since "pre-" means before, then pre-algebra would be before algebra. Conversely, algebra would be after pre-algebra. Generally, the next class after a pre-algebra class would be Algebra I, followed by Algebra II.
Yes; in a larger view of calculus (small stones used for counting) it deals with the abstract aspects of various mathematics, usually functions and limits, Calculus is the study of change.
Pre-algebra preps you for algebra.2nd answer:Pre-AP-algebra is the same as Algebra I. Both are way harder than pre- algebra.