Revisiting Algebra / Any Good Books to Help Master it?

In summary, the conversation discusses the struggles of mastering algebra in intermediate math classes such as calculus and differential equations. The person is looking for recommendations on books or guides that focus on understanding and intuition rather than memorization. Suggestions for Algebra, Gelfand and Trigonometry, Gelfand are given as they are known to be challenging and focus on understanding. The conversation also emphasizes the importance of practicing exercises to improve algebra skills.
  • #1
CarbonWater
20
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
  • #2
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?
 
  • #3
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.
 
  • #4
Make a lot of exercises. It's the only way to master these things!
 
  • #5
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.
 

1. What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve equations and understand relationships between quantities.

2. Why is it important to revisit Algebra?

Algebra is a fundamental skill in many fields of science and technology, and it serves as a building block for more advanced mathematical concepts. Revisiting Algebra helps to solidify and strengthen one's understanding of this important subject.

3. What are some common challenges with learning Algebra?

Some common challenges with learning Algebra include understanding abstract concepts, struggling with equations and word problems, and memorizing formulas and rules.

4. Are there any good books to help master Algebra?

Yes, there are many good books available to help master Algebra. Some popular options include "Algebra for Dummies" by Mary Jane Sterling and "Algebra: Structure and Method" by Richard G. Brown.

5. How can I effectively practice and improve my Algebra skills?

In addition to studying from textbooks or online resources, practicing regularly is key to improving Algebra skills. This can include solving equations and word problems, working on exercises and drills, and seeking help from a tutor or teacher if needed.

Similar threads

Alternatives to Mastering Physics in teaching E&M and Optics
    • STEM Educators and Teaching
Replies
1
Views
773
What would be a good book for learning Linear Algebra by myself?
    • Science and Math Textbooks
Replies
12
Views
3K
Guidance on Pursuing a Master's in Theoretical Particle Physics
    • STEM Academic Advising
2
Replies
35
Views
3K
  • Sticky
Other Collection of Free Online Math Books and Lecture Notes (part 1)
    • Science and Math Textbooks
Replies
10
Views
5K
Classical Source recommendation on Differential Geometry
    • Science and Math Textbooks
Replies
6
Views
1K
Is this a good self-study program?
    • STEM Academic Advising
Replies
16
Views
416
Quantum Need book recommendations for Quantum Chem/Nanomaterials
    • Science and Math Textbooks
Replies
1
Views
740
Please recommend me a good math book prior to taking trigonometry
    • General Math
Replies
5
Views
1K
Any Good Books on History of Math?
    • General Math
Replies
2
Views
1K
Calculus Which books for Calculus AND Linear Algebra
    • Science and Math Textbooks
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top