Apostol's vol 1 calculus not as good as Stewart's calculus?

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Discussion Overview

The discussion revolves around the comparative merits of Apostol's and Stewart's calculus textbooks. Participants explore their experiences with both texts, focusing on aspects such as clarity, rigor, and suitability for different audiences. The conversation touches on theoretical versus practical applications of calculus, as well as personal preferences in learning styles.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant argues that Stewart's explanations and problem sets are superior, finding Apostol's book less accessible.
  • Another participant notes that Spivak's text is more advanced and covers topics not included in Stewart's book.
  • Some participants suggest that different texts resonate with different learners, with Stewart being more suitable for those using calculus as a tool in fields like engineering and economics, while Spivak appeals to those pursuing mathematics degrees.
  • There is a mention of the importance of the intended academic or professional path when choosing a calculus text, with distinctions made between light engineering, abstract mathematics, and heavy-duty STEM applications.
  • One participant emphasizes that no book is perfect for everyone and that finding a text that resonates personally is crucial.
  • There is a recognition of the variety within Stewart's editions, with some participants expressing preferences for specific editions based on their learning experiences.
  • Another participant highlights the potential benefits of using multiple texts for a more comprehensive understanding, suggesting that finishing Apostol could be worthwhile alongside other resources.

Areas of Agreement / Disagreement

Participants express differing opinions on the effectiveness and suitability of Apostol's versus Stewart's calculus books. There is no consensus on which text is superior, as preferences vary based on individual learning styles and academic goals.

Contextual Notes

Participants reference different editions of Stewart's book and the varying levels of rigor and accessibility in Apostol's and Spivak's texts. The discussion reflects a range of academic backgrounds and objectives, which may influence the perceived value of each book.

rxh140630
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Hello, all around the web and even on this website, I've been told countless times that Apostol/Spivak's calculus books are superior to Stewarts. Having personally read about a forth of Apostol's book, and having read half or more of Stewarts, I notice Stewart has better explanations, and better problems to test your knowledge of the concepts. Stewarts book seems more rigorous. How can people say Apostol's book is better?
 
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Spivak is much more advanced and covers many topics absent from Stewarts.
 
To me, there are a couple things at work here:
(1) different texts speak to different people. It may be that you and Stewart think alike and isn’t it great to find a text like that?
(2) Stewart tends to be a great text for people who intend to use calculus as a tool. Engineers, economists, physicists, etc. While Spivak is often appreciated by those who are more inclined towards the way math is taught to people taking math degrees.

Also, I appreciated Spivak much more as a second text.
 
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Folks keep mentioning Spivak. Is everyone referring to the same caculus book? Spivak has written (at least) two, "Calculus" and "Calculus on Manifolds".
 
George Jones said:
Folks keep mentioning Spivak. Is everyone referring to the same caculus book? Spivak has written (at least) two, "Calculus" and "Calculus on Manifolds".
Yep I was referring to the first one, Calculus, 1967
 
What people don't tell you . . It really matters where you want to end up:
  1. Engineer lite / non-STEM
  2. Abstract mathematics
  3. Heavy-duty STEM
    • Want the option of a solid graduate program, for example.
And how you want to get there for 2/3. Pain now, easier later? Easier now, cliff later? Or possibly better: multi-book now = less pain more work now, and easier later.

If you already worked pretty easily a quarter through Apostol, just finish it. Do some fun problems on the side.
 
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As others have said, and as Robin Williams' character in Goodwill Hunting told Will, roughly: " no book is perfect, what matters is if it is perfect for you". Obviously Stewart is better for you than Apostol, so you should go with Stewart. The struggle for most of us is to find any book at all that speaks to us. You have found one, congratulations! I would not worry at all that some others prefer a different book. There is also a wide variety of versions just of Stewart, my favorite being maybe the 9th edition? I also like Spivak and Apostol, but for different reasons. Stewart I found conversational and easy to learn from, especially for computational skills, whereas I thought the other two more helpful for theory, Spivak being more fun, and Apostol more "scholarly" perhaps, but in a dry way not appealing to everyone. If you want to get a PhD in pure mathematics, it will likely help to try to master Spivak or Apostol, but I am guessing that is not your goal. Enjoy!
 
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