Thomas' or Apostol's calculus for beginner

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SUMMARY

The discussion centers on the choice between Thomas' Calculus and Apostol's Calculus for beginners in calculus, particularly for high school students preparing for theoretical physics and pure mathematics. A participant recommends starting with Thomas' Calculus, followed by Apostol's single variable calculus, based on their own experience. They also suggest considering Serge Lang's "A First Course in Calculus" as a more efficient introductory text, especially for self-learners. The consensus is that while Thomas is comprehensive, it may not be the best choice for self-study due to its length and complexity.

PREREQUISITES
  • Familiarity with basic calculus concepts
  • Understanding of single variable calculus
  • Self-learning techniques for mathematics
  • Access to calculus textbooks such as Thomas' or Apostol's
NEXT STEPS
  • Read Serge Lang's "A First Course in Calculus" for an efficient introduction
  • Explore Apostol's Calculus to assess its difficulty level
  • Investigate the structure and content of Thomas' Calculus (9th Ed.)
  • Review supplementary materials for calculus, such as I.A. Maron or G.N. Berman
USEFUL FOR

This discussion is beneficial for high school students, self-learners in mathematics, and anyone preparing for advanced studies in theoretical physics or pure mathematics.

Hossam Halim
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I am a high school student . I am a beginner in calculus . In the future i wil study theoretical physics and pure mathematics . I am puzzled which to use Thomas'nor Apostol's ?? I am a self learner .
Should i choose whether Thomas' or Apostol's to use ? then, which ?
Or should i read both,one after another, . I mean reading Thomas' then Apostol's . ?

Thanks in advance .
 
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I have used Thomas calculus for preparation of AP Calculus BC in High school. After that I gone through Apostol single variable calculus. So I will recommend to go in same order.

PS:- Thomas is very big book, if you learning just for fun then go with I A Maron calculus/ G N Berman Analysis otherwise Stewart/Larson/Thomas (9th Ed.) are good to go with.
 
Do you have access to both books? If so, see if you are able to read and understand Apostol, including the exercises. If so, then there is no point starting with Thomas, and you can go directly to Apostol (or Spivak).

If you need a more introductory book then Thomas may not be a good choice for self study, assuming it is the typical 1000 page brick. Most people who use such a textbook while enrolled in a course never read more than a fraction of the book, but you won't have that luxury. So get something more efficient - I would recommend Serge Lang's "A First Course in Calculus" for this purpose. It's not a short book either but it's shorter than most because doesn't have as much filler. Lang's style is also more a bit more sophisticated than most intro books, so it will be good preparation for future math studies.
 
jbunniii said:
I would recommend Serge Lang's "A First Course in Calculus" for this purpose. It's not a short book either but it's shorter than most because doesn't have as much filler.

I don't think anybody will be surprised that I second this advice.

That said, you should at least try to do Apostol. Most likely, it will be too difficult, but perhaps you like it anyway. If it's too difficult, then Lang should suit you perfectly.
 

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