Revisiting Algebra / Any Good Books to Help Master it?

  • Context: Undergrad 
  • Thread starter Thread starter CarbonWater
  • Start date Start date
  • Tags Tags
    Algebra Books Master
Click For Summary

Discussion Overview

The discussion revolves around the challenges faced by a participant in mastering algebra, particularly in the context of intermediate math classes such as calculus and differential equations. The focus is on seeking recommendations for books or approaches that can help refresh and perfect algebra skills.

Discussion Character

  • Exploratory
  • Homework-related

Main Points Raised

  • A participant expresses difficulty in achieving high grades in calculus and differential equations due to algebra mistakes and a lack of comfort with some algebra concepts.
  • Another participant questions whether the algebra in question refers to basic arithmetic or group-theory based algebra.
  • Some participants suggest that the algebra referred to is likely elementary algebra, given the context of its use in calculus and differential equations.
  • Recommendations for books include "Algebra" by Gelfand, which is noted for its focus on intuition and understanding rather than memorization, and "Trigonometry" by Gelfand for better intuition in trigonometry.
  • One participant emphasizes the importance of practicing exercises as a method to master algebra skills.

Areas of Agreement / Disagreement

Participants generally agree on the type of algebra being discussed and the need for practice, but there are differing opinions on the best resources and approaches to improve algebra skills.

Contextual Notes

Some assumptions about the level of algebra being discussed may depend on the definitions used by participants, and there is an unresolved question regarding the specific type of algebra (elementary vs. group-theory) that is most relevant to the participant's needs.

CarbonWater
Messages
20
Reaction score
0
I've been doing the intermediate math classes like calculus and differential equations. I'm doing okay, but not great. What holds me back getting a 100% in these classes is almost always the algebra. I make stupid algebra mistakes and honestly am not completely comfortable with some concepts.

Does anyone know of any books or guides or approaches that are tailored to people trying to refresh / perfect their algebra? I feel like I almost need to approach it a different way to master it at this point.
 
Mathematics news on Phys.org
CarbonWater said:
I've been doing the intermediate math classes like calculus and differential equations. I'm doing okay, but not great. What holds me back getting a 100% in these classes is almost always the algebra. I make stupid algebra mistakes and honestly am not completely comfortable with some concepts.

Does anyone know of any books or guides or approaches that are tailored to people trying to refresh / perfect their algebra? I feel like I almost need to approach it a different way to master it at this point.

Are you talking about algebra as in arithmetic or algebra as in group-theory based algebra?
 
chiro said:
Are you talking about algebra as in arithmetic or algebra as in group-theory based algebra?

Considering the fact that he is talking about algebra used calculus of diff. equations, I would say that it's likely to be elementary algebra. In that case, I highly recommend Algebra, Gelfand. Also, if you're looking for a better intuition of trigonometry, try Trigonometry, Gelfand.

The above two books really focus on intuition and understanding as opposed to memorizing algorithms, and are also very challenging.
 
Make a lot of exercises. It's the only way to master these things!
 
DivisionByZro said:
Considering the fact that he is talking about algebra used calculus of diff. equations, I would say that it's likely to be elementary algebra. In that case, I highly recommend Algebra, Gelfand. Also, if you're looking for a better intuition of trigonometry, try Trigonometry, Gelfand.

The above two books really focus on intuition and understanding as opposed to memorizing algorithms, and are also very challenging.

Thanks for the suggestion and you were correct about which type of algebra I'm talking about.
 

Similar threads

  • Sticky
  • · Replies 16 ·
Replies
16
Views
13K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 13 ·
Replies
13
Views
12K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K