Start with Spivak's Calculus to Choosing the Best Resource

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Discussion Overview

The discussion centers on whether one can start studying calculus with Spivak's Calculus without prior exposure to other introductory texts, specifically "Calculus Made Easy" or "The Calculus Lifesaver." Participants also compare these resources and discuss their suitability based on mathematical background.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants suggest that starting with Spivak's Calculus is possible but may require significant time investment.
  • Others emphasize the importance of having a solid mathematical background before tackling Spivak, asking about previous books read and classes taken.
  • One participant mentions that "First Course in Calculus" by Lang is easier and could serve as a good preparatory text.
  • Another participant notes that historically, some students have succeeded with challenging calculus courses without prior comparable textbooks, implying that it is not unprecedented to start with Spivak directly.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether one can start with Spivak's Calculus without prior texts. Multiple views exist regarding the necessity of foundational knowledge and the suitability of different resources.

Contextual Notes

Participants express varying levels of confidence in their recommendations based on individual experiences and historical context, indicating that personal background may significantly influence the ability to engage with Spivak's text.

theoristo
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The question is if I can start with Spivak's calculus without reading a book like calculus made easy or the calculus lifesaver?and If I can't which is better calculus made easy or the calculus life saver or another?
 
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Depends. What is your mathematical background like? In other words, what books have you read and what classes have you taken?
 
dustbin said:
Depends. What is your mathematical background like? In other words, what books have you read and what classes have you taken?

Basic mathematics By Lang...
 
Yes. But it may take you a long time to read it. I was working on spivak 10 hours a day over a sumer (15-16 week college summer) and was still unable to finsih the first 24 chapters (got through about 20).

I recommend doing Spivak but give yourself as long as you need.
 
Thanks...I Don't have very much I can do about 6-8 hours a day what about first course in calculus by lang ?
 
First course in Calculus by Lang is much easier but also quite good imo.
 
If you completed all of Lang's book, you should be okay to go ahead with Spivak. Try it out and if it's too hard for you, work through an easier book.
 
in 1960 all exceptional honors freshman calculus students at harvard started with a course harder than spivak (math 11) and without any comparable textbook. the answer to your question may still be no, but if you do so, it will not be the first time someone has made this mistake.
 

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