Anton Calculus vs Stewart Calculus for HS Students

  • Context: Calculus 
  • Thread starter Thread starter Emmanuel_Euler
  • Start date Start date
Click For Summary
SUMMARY

The discussion evaluates the effectiveness of various calculus textbooks for high school students, specifically comparing Stewart's Calculus, Anton's Calculus, and Thomas' Calculus with Analytic Geometry (3rd edition). Participants recommend Thomas for its clear explanations and visuals, while Lang's A First Course in Calculus is praised for its fluidity but criticized for insufficient exercises. Additionally, George Simmons' Calculus with Analytic Geometry is highlighted as an excellent alternative due to its comprehensive coverage and affordability. Overall, the consensus suggests using a combination of these texts to enhance understanding.

PREREQUISITES
  • Familiarity with calculus concepts such as derivatives and integrals
  • Understanding of different calculus textbook styles and their pedagogical approaches
  • Knowledge of supplementary resources like Schaum's Outline for exercises
  • Awareness of the differences between single-variable and multi-variable calculus
NEXT STEPS
  • Research "Thomas' Calculus with Analytic Geometry (3rd edition)" for its visual aids and explanations
  • Explore "George Simmons' Calculus with Analytic Geometry" for its comprehensive problem sets
  • Investigate "Schaum's Outline of Calculus" for additional exercises and practice
  • Review "Lang's A First Course in Calculus" for its clarity and conceptual approach
USEFUL FOR

High school students, educators, and anyone seeking effective calculus learning resources will benefit from this discussion, particularly those looking to choose the right textbook for foundational calculus understanding.

  • #31
brocks said:
If you read this forum for a while, you will see that there is a fairly small number of prolific posters, who always give the same answer to your question, which has been asked a thousand times.

Some posters here are mathematicians, and either never knew (because of their extremely high aptitude) or have forgotten what it was like to be struggling to learn calculus. They dismiss almost all of the most popular textbooks as garbage. Some even recommend Spivak or Apostol as a first calculus text.

But there has to be a reason that Stewart is used by hundreds of universities for freshman calculus, and Spivak or Apostol is only used for honors courses, or for students at the likes of MIT and CalTech. The common denominator for the classes using Spivak or Apostol is that very few students in those classes are seeing calculus for the first time.

Stewart, Anton, Larson, Adams, etc. are all popular texts, and all cover the same material in pretty much the same sequence. They would not keep coming out with new editions, and would not be used in so many universities, if they were garbage. The one that is best for you is the one you find easiest to understand, but I would recommend buying old, cheap editions of several of them (any calculus text written in the last 50 years covers the same material), so if something from one author doesn't click, you can see a slightly different approach from another author. If you skim through any of those texts and just do the drill problems, you won't learn much. If you work hard with any of those texts, making sure you understand all the proofs, and doing as many problems as you can from the end of the problem sets rather than the beginning, you will get a first class background in calculus, and be ready for any second year text.
Excellent observation!
 
Physics news on Phys.org
  • #32
Billioville said:
I do have all of them, so I would advise you to go with James Stewart and Soo Tan.
Thank you for the advise.
 

Similar threads

Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 22 ·
Replies
22
Views
12K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 9 ·
Replies
9
Views
6K