Anton Calculus vs Stewart Calculus for HS Students

  • Context: Calculus 
  • Thread starter Thread starter Emmanuel_Euler
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Discussion Overview

The discussion revolves around the suitability of various calculus textbooks for high school students, specifically comparing Anton Calculus and Stewart Calculus, while also exploring alternative texts. Participants share personal experiences and preferences regarding different calculus books, their teaching styles, and the effectiveness of the materials for learning calculus.

Discussion Character

  • Debate/contested
  • Exploratory
  • Technical explanation

Main Points Raised

  • Some participants express strong disapproval of both Anton and Stewart Calculus, labeling them as poor choices for students.
  • Others defend Stewart Calculus, noting its readability despite some perceived shortcomings in rigor.
  • A participant suggests using Thomas Calculus in conjunction with Stewart, highlighting the strengths and weaknesses of both texts.
  • Lang's "A First Course in Calculus" is recommended by multiple participants as a superior alternative, with some arguing it is sufficient on its own for a first course.
  • Concerns are raised about the number of exercises in Lang's book, with differing opinions on whether it provides adequate practice.
  • Some participants advocate for free resources like Paul's Calculus Notes as viable options for self-study.
  • George Simmons's "Calculus with Analytic Geometry" is mentioned as another excellent resource, praised for its clarity and range of problems.
  • There are disagreements regarding the quality of older versus newer editions of Thomas Calculus, with some asserting that older editions are significantly better.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best textbook. While some advocate for Lang's book, others express skepticism about its sufficiency and recommend supplementary texts. Disagreements persist regarding the quality of Anton, Stewart, and Thomas Calculus, as well as the merits of various editions.

Contextual Notes

Participants reference personal experiences and preferences, which may not universally apply. The discussion reflects a variety of learning styles and teaching approaches, indicating that the effectiveness of a textbook may depend on individual needs.

Who May Find This Useful

This discussion may be useful for high school students, educators, and self-learners seeking recommendations on calculus textbooks and resources.

  • #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!
 
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  • #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.
 

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