Spivak Calculus 3rd Ed. or 2nd Ed.?

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    Calculus Spivak
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Discussion Overview

The discussion revolves around the comparison between the 2nd and 3rd editions of Spivak's "Calculus." Participants explore concerns about the quality of newer editions, the enhancements made, and recommendations for further study in mathematics, particularly for undergraduate students in engineering.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses concern that newer editions of textbooks tend to be watered down and questions whether to purchase the 3rd edition or the 2nd.
  • Another participant asserts that Spivak does not dilute his books and suggests that later editions may include enhancements, referencing a friend who has contributed to these editions.
  • A participant mentions that the 3rd edition added chapters and corrected some errors, noting that some minor errors may still exist.
  • Several participants recommend additional resources for further study in calculus and analysis, including Spivak's "Calculus on Manifolds," Munkres' "Analysis on Manifolds," and others, with varying levels of complexity and abstraction.
  • One participant advises that Dieudonné's "Foundations of Modern Analysis" may be too abstract and suggests supplementing it with another source.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the 2nd or 3rd edition is preferable, with some arguing for the merits of the newer edition while others express skepticism about changes in newer editions. The discussion remains unresolved regarding the best choice for the original poster.

Contextual Notes

Participants mention specific enhancements and errors in the 3rd edition but do not agree on the implications of these changes. There is also a variety of opinions on the suitability of different mathematical texts for further study.

Who May Find This Useful

Undergraduate students in mathematics or engineering looking for rigorous mathematical foundations and those interested in the comparative quality of different editions of Spivak's "Calculus." Readers seeking recommendations for advanced mathematical texts may also find this discussion relevant.

FutureScience
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Spivak "Calculus" 3rd Ed. or 2nd Ed.?

I've found a pretty interesting price for the 3rd Ed. of Spivak "Calculus".

I'm wondering if you suggest me to buy it or to look for the second edition.

My concern is related to the fact that almost every scientific textbook is watered down edition after edition, so in principle, I was considering to buy the 2nd Ed. instead of the 3rd.

What do you suggest me?
 
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Spivak never waters his books down. Any edition is great. In fact one of my friends, master teacher Theodore Shifrin, (in the same tradition as Michael Spivak), has made some enhancements to some of the later editions. So in this case they may even offer more.
 


mathwonk said:
Spivak never waters his books down. Any edition is great. In fact one of my friends, master teacher Theodore Shifrin, (in the same tradition as Michael Spivak), has made some enhancements to some of the later editions. So in this case they may even offer more.

Thank you mathwonk for you quick reply!
In the past weeks I've read many textbooks suggestions from you.

Also for this reason I've bought Hoffman and Kunze textbook and now I'm about to buy Spivak's.

Can I ask you a further suggestion about what to (self)study after Spivak?

I'm an undergraduate student in Aerospace Engineering and I'm focusing on having very solid mathematical basis, with proofs and rigorous demonstrations.
For this reason I dislike many of the most recent math textbooks.
 


there are several good several variable calc books, including spivak's calculus on manifolds, one of the best but very condensed. Another is volume 2 of courant (old fashioned but excellent), another is calculus of several variables by wendell fleming, another is (only if you handle spivak well) dieudone's foundations of modern analysis. to be honest this last book is a bit over the top in terms of abstractness, so you should supplement it with another source.
 


Munkres Analysis on Manifolds is another very ood book for several variable calculus. It coverage is similar to Spivaks calculus on manifolds but is over twice as long (this could be good or bad depending on your perspective).
 


I know for sure the third edition added a chapter or 2 (I know it added the one on planetary motion) and fixed some errors. There's still a few errors that probably got ironed out before the 4th edition, but nothing that shouldn't be too obvious if you reread it after the initial confusion, like a an x where there should be a y or something small like that (except for one, I can't remember what it was, though. Drove me crazy).

edit:
search google, there's a list of the errors in the 3rd edition somewhere I remember coming across.
 

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