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.
Edward M'William Patterson has written: 'Elementary abstract algebra' -- subject(s): Algebra 'Elementary abstract algebra [by] E.M. Patterson [and] D.E. Rutherford' -- subject(s): Abstract Algebra, Algebra, Abstract
yes
John A. Beachy has written: 'Abstract algebra' -- subject(s): Abstract Algebra, Algebra, Abstract 'Introductory lectures on rings and modules' -- subject(s): Modules (Algebra), Noncommutative rings
Gertrude Ehrlich has written: 'Fundamental concepts of abstract algebra' -- subject(s): MATHEMATICS / Algebra / Abstract, Abstract Algebra 'Fundamental concepts of abstract algebra' -- subject(s): Abstract Algebra 'Fundamental concepts of abstract algebra' -- subject(s): MATHEMATICS / Algebra / Abstract, Abstract Algebra
Dennis Kletzing has written: 'Abstract algebra' -- subject(s): Abstract Algebra
George Mackiw has written: 'Applications of abstract algebra' -- subject(s): Abstract Algebra
When focusing upon abstract algebra, there are many different areas included within this topic such as groups, rings, modules and vector space. These all are part of the sequence to constructing abstract algebra.
Gary D. Crown has written: 'Abstract algebra' -- subject(s): Abstract Algebra
John W. Keesee has written: 'Elementary abstract algebra' -- subject(s): Abstract Algebra
yes, also this question belongs in the linear algebra forum not the abstract algebra forum
D. S. Malik has written: 'Java Programming' 'Java programming' -- subject(s): Java (Computer program language) 'Fundamentals of abstract algebra' -- subject(s): Abstract Algebra, Algebra, Abstract 'C++ Programming'
David Ronald Dickinson has written: 'Operators: an algebraic synthesis' -- subject(s): Abstract Algebra, Algebra, Abstract