Can anybody help me?

CuongChi

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Dec 5, 2019
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I am a foreign pupil and I have joined this forum recently. I have some questions about terminology that I can't distinguish. Example, in my country algebra don't be classified into Pre-Algebra and Advanced Algebra, can you give an explanation for me. Thanks!
 
The forum names are not well-defined, apart from the brief descriptions attached to them; if you have a question about algebra and are not sure where it belongs, don't worry about the details. But it should be clear that "pre-algebra" would include basics leading up to algebra (and, often, some very simple algebra, such as solving simple equations), while "advanced algebra" would probably include topics leading up to calculus (like graphing complicated equations).

But please be patient! At the time you wrote, it was the middle of the night for me (and probably for many others).
 
advanced algebra also includes abstract algebra, i.e. the study of groups, rings, fields, etc.
 
advanced algebra also includes abstract algebra, i.e. the study of groups, rings, fields, etc.

The official description is "For more advanced algebra topics, including Algebra II and Pre-Calculus." So students might find it more appropriate to put abstract algebra questions under Advanced Math ("For the highest-level (post-calculus) math questions that don't fall into any other category."). Categories are hard to label so that people at all levels will agree on their meaning! Similarly, number theory could be considered part of (advanced) arithmetic, but that's not really where it should go here!
 
The forum names are not well-defined, apart from the brief descriptions attached to them; if you have a question about algebra and are not sure where it belongs, don't worry about the details. But it should be clear that "pre-algebra" would include basics leading up to algebra (and, often, some very simple algebra, such as solving simple equations), while "advanced algebra" would probably include topics leading up to calculus (like graphing complicated equations).

But please be patient! At the time you wrote, it was the middle of the night for me (and probably for many others).
Thanks for answering my question.
I'm learning about number theory and someone tells me should learn group theory first, do you think it's necessary.
 
That might depend on how each is being taught; look for the prerequisites for the specific course.

A number theory course might include the bits of group theory they depend on, or might state how much you should know first. A group theory course, on the other hand, may use some number theory for examples, and may or may not teach those bits to you first. But neither would depend on knowing all of the other.
 
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