Changing calculus textbook from Tom Apostol to James Stewart

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SUMMARY

The discussion centers on the comparison between Tom Apostol's "Calculus and Linear Algebra" and James Stewart's "Calculus," specifically the 2nd edition. Participants unanimously agree that Apostol's textbook is superior due to its rigorous approach, comprehensive coverage of theory, and emphasis on proofs, making it more suitable for serious students of mathematics and physics. In contrast, Stewart's textbook is criticized for its focus on calculation techniques and lack of depth in theoretical understanding. Despite its popularity, Stewart's book is deemed inadequate for those seeking a profound grasp of calculus.

PREREQUISITES
  • Understanding of calculus fundamentals as presented in Tom Apostol's "Calculus and Linear Algebra."
  • Familiarity with basic physics concepts, particularly from "Introduction to Mechanics" by Kleppner and Kolenkow (K&K).
  • Knowledge of mathematical proofs and theoretical frameworks in mathematics.
  • Awareness of different calculus textbooks and their pedagogical approaches.
NEXT STEPS
  • Explore advanced topics in calculus through Tom Apostol's additional publications on ordinary differential equations (ODEs).
  • Research the pedagogical methods used in James Stewart's 2nd edition of "Calculus" to understand its curriculum alignment.
  • Investigate alternative calculus textbooks that emphasize theory and proofs, such as "Calculus" by Michael Spivak.
  • Consider enrolling in a course that uses Apostol's textbook to deepen understanding of calculus and its applications in physics.
USEFUL FOR

Students of mathematics and physics, educators seeking effective teaching materials, and anyone evaluating calculus textbooks for academic purposes.

AliGh
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Hi
I read T.Apostol calculus and linear algebra in summer until page 230.
Now in the first year of university , the math teacher told us to study James Stewart calculus (one problem is that she said we have to read the 2nd edition because that's the version she studied during her years)
Now I'm studying computer programming and i would love to study physics and mathematics . I don't know what to do (currently studying introduction to mechanics k&k for myself)
Is this textbook as good as the one i used to read for going deeper into physics ?

Sorry for bad english by the way
 
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Stewart is a horrible textbook and Apostol is way better. Seriously, if you were able to study up to 230 pages of Apostol, and you liked it, you will be disgusted by Stewart.
That said, it's not that Stewart will leave you underprepared for physics.
 
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micromass said:
Stewart is a horrible textbook and Apostol is way better. Seriously, if you were able to study up to 230 pages of Apostol, and you liked it, you will be disgusted by Stewart.
That said, it's not that Stewart will leave you underprepared for physics.
What makes it horrible ? I had no problem with Apostol and it wasn't difficult (to understand)
Well the level of students is really low here . I showed introduction to mechanics K&K to physics teacher (they teach halliday for physics here its uselessly too long) he said its on a much higher level than what we teach here
 
Books like Stewart and others (like Larson, etc) are terrible because they hardly teach the theory, rarely go over proofs, focus nearly entirely on just how to calculate specific cases if things, and even the "applications" suck. They are cash grabs that almost make you unlearn the subject. It's quite literally just flashy books with pictures. If you want calculus with application problems, which is really only one of the "selling points" you can easily find such problems so many places elsewhere.
 
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Stewart is a book for average classes, not math majors. However it has gotten worse over the years, and the second edition is probably much better than what is being offered currently, as maybe the 7th edition? I think I taught from the 2nd edition and liked it ok, for a book of that level anyway. I mean I was asked to teach from many worse books over the years. But comparing to Apostol is maybe like comparing a chevrolet to a ferrari, if that makes sense. I recommend continuing to read Apostol.
 
Stewart is a book to teach students to manipulate symbols until an answer magically pops out. If you want to understand calculus find something better.
 
AliGh said:
Hi
I read T.Apostol calculus and linear algebra in summer until page 230.
Now in the first year of university , the math teacher told us to study James Stewart calculus (one problem is that she said we have to read the 2nd edition because that's the version she studied during her years)
Now I'm studying computer programming and i would love to study physics and mathematics . I don't know what to do (currently studying introduction to mechanics k&k for myself)
Is this textbook as good as the one i used to read for going deeper into physics ?

Sorry for bad english by the way
Ask its ISBN to your teacher. If your university bookstore cannot order & receive this 2nd edition of Stewart's Calculus, inform your teacher of your decision of leaving the course, and following the same/equivalent course with another teacher, with the approval of the registrarian's office. I browsed through a copy of Calculus in 2 tomes, by T. Apostol; it is most excellent for a college-level technical diploma in computer sciences; also for a B.Sc. in computer sciences. Don't forget that to consider teaching at post-secondary levels, you ought to have a specialized baccalaureate. ___________________________________________________________________________________________ Or you continue the reading of all what Apostol wrote & got published on calculus, ODEs & linear algebra. Then you enter in a bachelor degree in teaching the sciences at high-school. In the province of Quebec, too many people have a degree to teach at secondary school, except in the speciality of the sciences. Maybe the situation is similar in your region? ____________________________________________ After a 3 to 10 years of experience of work in the industry, the re-orientation to the academic/ technical education is recommendable.
 
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AliGh said:
Hi
I read T.Apostol calculus and linear algebra in summer until page 230.
Now in the first year of university , the math teacher told us to study James Stewart calculus (one problem is that she said we have to read the 2nd edition because that's the version she studied during her years)
Now I'm studying computer programming and i would love to study physics and mathematics . I don't know what to do (currently studying introduction to mechanics k&k for myself)
Is this textbook as good as the one i used to read for going deeper into physics ?

Sorry for bad english by the way
alan2 said:
Stewart is a book to teach students to manipulate symbols until an answer magically pops out. If you want to understand calculus find something better.
Stewart's textbook on calculus is more than a recipes book. Perhaps it is the most used manual in Canada, for the first three courses in calculus. It follows the curricula, the up to date sotware technology and the best recent method of pedagogy. Translated in french and used in France. ________________________________________________ On the other hand, Apostol's book on calculus has been translated in french, portugese and spanish, since decennaries. It has less colours and lushering gdrawings, but it has the particularity of teaching calculus, linear algebra and a good portion of ordinary differential equations, at the same time_ approppriate for honours sciences at college level or a strong technical college diploma_.
 

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