What is the best book for self-teaching Calculus?

  • Context: High School 
  • Thread starter Thread starter Mr. Ryan
  • Start date Start date
  • Tags Tags
    Book Calculus
Click For Summary

Discussion Overview

The discussion revolves around recommendations for self-teaching calculus, focusing on suitable books and resources. Participants express their needs based on different academic goals, such as preparing for physics or engineering studies.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant mentions "Calculus Lifesaver" by Adrian Banner as a potential resource and seeks validation of its effectiveness.
  • Another participant recommends "A First Course in Calculus" by Lang, describing it as rigorous yet accessible, while emphasizing the necessity of a strong foundation in algebra and trigonometry.
  • Several participants highlight the importance of understanding the purpose behind learning calculus and the level of familiarity required, suggesting that this may influence the choice of resources.
  • A participant clarifies their intent to study physics rather than mathematics, indicating a preference to learn calculus separately from physics to avoid confusion.
  • Another participant, returning to college, expresses a need for resources tailored to engineering applications of calculus, indicating a different focus than pure mathematics.

Areas of Agreement / Disagreement

Participants generally agree on the importance of tailoring learning resources to specific academic goals, but multiple competing views exist regarding which books or approaches are most suitable for self-teaching calculus.

Contextual Notes

Participants express varying levels of familiarity with prerequisite subjects like algebra and trigonometry, which may affect their recommendations. The discussion does not resolve which book is definitively the best choice for self-teaching calculus.

Who May Find This Useful

This discussion may be useful for individuals seeking to self-teach calculus, particularly those with specific academic goals in physics or engineering, as well as those returning to education after a break.

Mr. Ryan
Messages
8
Reaction score
0
I have absolutely no doubt this question has been asked many times over, so I apologize in advance for that. This is my first day with the forums. The question is pretty much self explanatory. I need to become very familiar with Calculus over this summer, and I am already looking at the Calculus Lifesaver by Adrian Banner. Is that a good choice? Any other suggestions?
 
Physics news on Phys.org
For a more mathematical treatise, I recommend "A first course in calculus" by Lang. It's fairly rigorous, but not too difficult since he leaves out the highly technical bits.

I hope you're very familiar with algebra and trig, because you're going to need it a lot.
 
Mr. Ryan said:
I need to become very familiar with Calculus over this summer

I think it is important to ask why you need to become familiar and how familiar is very. If you are only interested in applications to physics and engineering etc. you will probably want to take a much different route than you would if you are starting a B.S. in Mathematics in the fall and want to get a head start.
 
DrewD said:
I think it is important to ask why you need to become familiar and how familiar is very.

I will not be working toward a B.S. in Mathematics. I am soon to be working toward a B.S. in Physics. I am strong in both Trig and Algebra, but I did not want to have to learn Calculus and Physics side by side.
 
DrewD said:
I think it is important to ask why you need to become familiar and how familiar is very. If you are only interested in applications to physics and engineering etc. you will probably want to take a much different route than you would if you are starting a B.S. in Mathematics in the fall and want to get a head start.

I too need to learn calculus, but I need to learn the areas of it that apply to engineering students. What do you suggest as a learning resource for someone that wants to start learning calculus this fall after I finish my algebra and trig workbooks. (I am 27 and returning to college so I am relearning the basics to build upon.)
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 17 ·
Replies
17
Views
12K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 4 ·
Replies
4
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
25K