Re-Learning Algebra: Find the Right Book & Master Rules

  • Context: High School 
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    Algebra
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Discussion Overview

The discussion revolves around finding suitable resources for relearning algebra, with a focus on understanding the underlying theory rather than just formulas. Participants also explore the transition from basic algebra to more advanced topics like linear and differential algebra, and inquire about the mathematical concepts relevant to modeling biological systems.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks recommendations for books that teach the theory behind algebraic rules rather than standard textbooks.
  • Another participant suggests that if the inquirer refers to high school algebra, any introductory algebra book should suffice for relearning.
  • A participant clarifies their interest in university-level beginner/intermediate algebra, expressing a desire to know what content bridges high school algebra and advanced topics like linear or differential algebra.
  • There is mention of advanced algebra topics such as groups, rings, and fields as potential areas of study before moving on to linear or differential algebra.
  • A side inquiry is made regarding the mathematics used in modeling biological cell systems, specifically transposons.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best resources or the specific content that should be mastered before advancing to linear or differential algebra. Multiple viewpoints on the appropriate level of algebra and its applications are presented.

Contextual Notes

There is a lack of clarity regarding the specific algebraic concepts that might be necessary before progressing to advanced topics, and the discussion does not resolve the question of which mathematical background is most relevant for modeling biological systems.

thE3nigma
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Hello everyone, I would like to ask if someone could point me to a good book, that I could use to relearn algebra. I am though, not looking for a regular textbook (like in schools where you learn the formula), but would love something that would teach me the theory behind all the algebraic rules.

Also, after mastering (quite a broad term I assume) basic algebra, would moving on to linear algebra be better or differential algebra? Or is there something I should master before them as well.

Thank you very much for your suggestions!
 
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What type of "Algebra" do you mean? If you mean the generalized Arithmetic Algebra of high school's ninth grade, then you could find almost any introductory or elementary Algebra beginning book and study straight through the whole thing. If you studied it before, then it should be easy to study again and learn it very well.
 
Hi there, I guess I did not specify clearly what I was interested in (my apologies). I would like to know what usually is the beginner/intermediate level algebra taught in university. I know that they do not start from the basics, and that I already know very well. But I am wondering if there is anything in between high school algebra and say linear/differential algebra?

Also on a side note, I was wondering if anyone here knows what mathematics (advanced algebra or calculus or combo) is currently being used to model biological cell systems, specifically transposons? Thank you for the information.
 
thE3nigma said:
Hi there, I guess I did not specify clearly what I was interested in (my apologies). I would like to know what usually is the beginner/intermediate level algebra taught in university. I know that they do not start from the basics, and that I already know very well. But I am wondering if there is anything in between high school algebra and say linear/differential algebra?

the only thing I can think of is stuff like groups, rings & fields, & being a standard subject there are a ton of books out there.
 

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