Thomas' or Apostol's calculus for beginner

  • Thread starter Thread starter Hossam Halim
  • Start date Start date
  • Tags Tags
    Beginner Calculus
AI Thread Summary
The discussion centers on the choice between Thomas' and Apostol's calculus textbooks for a high school student preparing for future studies in theoretical physics and pure mathematics. The consensus suggests starting with Apostol if the student can understand its content, as it is more rigorous and suitable for self-learners. Thomas' book, while comprehensive, is considered too lengthy for self-study, with many users not fully engaging with its material. An alternative recommendation is Serge Lang's "A First Course in Calculus," which is shorter and more efficient, making it a better option for foundational learning. The advice emphasizes the importance of selecting a textbook that aligns with the student's learning style and goals, encouraging exploration of Apostol despite its potential difficulty.
Hossam Halim
Messages
17
Reaction score
0
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 .
 
Physics news on Phys.org
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.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

Similar threads

Replies
7
Views
7K
Replies
2
Views
3K
Replies
4
Views
4K
Replies
3
Views
2K
Replies
1
Views
2K
Replies
11
Views
4K
Back
Top