Serge Lang vs Larson & Edwards (Calculus)

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Discussion Overview

The discussion centers around comparing Serge Lang's calculus text with Larson and Edwards' calculus text, particularly in the context of gaining a deeper understanding of calculus. Participants share their experiences and recommendations regarding various calculus resources and their suitability for different levels of understanding.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant seeks advice on which calculus text would provide a deeper understanding, mentioning their background with Kleppner & Kolenkow's Introduction to Mechanics.
  • Another participant suggests Lang's book has a good reputation but recommends exploring other texts like Apostol and Spivak, noting their strengths and weaknesses in terms of approach and style.
  • A different participant mentions Mathematical Methods in the Physical Sciences by Baos as a suitable option for a science audience.
  • One participant expresses that Apostol and Spivak are better suited for those with a strong foundation in calculus, rather than for beginners, and shares their own learning experience with Larson/Edwards and MIT videos.
  • This participant also indicates enjoyment of Lang's text so far, suggesting a positive personal experience with it.

Areas of Agreement / Disagreement

Participants present varied opinions on the suitability of different calculus texts, indicating that there is no consensus on which book is definitively better for establishing a foundational understanding of calculus.

Contextual Notes

Some participants highlight the importance of personal learning styles and the need to sample multiple texts to find the one that resonates best, suggesting that the effectiveness of a textbook may depend on individual preferences and prior knowledge.

Who May Find This Useful

Readers interested in calculus, particularly those seeking to deepen their understanding or looking for recommendations on calculus textbooks.

Cosmophile
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I have a copy of both Lang's text and Larson and Edwards' text, and was wondering which would be best for someone looking for a deeper understanding of Calculus. Any and all advice is welcome here! I was working through Kleppner & Kolenkow's Introduction to Mechanics and decided I need a much more thorough understanding of Calculus if I was to get the full effect. Thanks in advance!
 
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I've heard good things about Lang's book, but never used it myself. What calculus book(s) have you completed so far? If you have access to a library, you may want to try Apostol or Spivak, both are very strong choices, if you're not pushed away by math lingo. Spivak is easier in terms of dryness; connects a lot with real analysis. Apostol is very methodical, although kind of dry. Apostol has 2nd tome for multivar, Spivak has Calculus on Manifolds. From there on you can go to Rudin. Either way, I suggest to sample as many as you can and find one which talks to you; it will help a great deal.
 
Just remembered, there is also Mathematical Methods in the Physical Sciences by Baos, for the science audience.
 
I've heard of both Apostol and Spivak, but have been told that they are books you should go to AFTER you've established a pretty strong foundation - not books you go to to establish that foundation. I haven't "completed" a textbook yet; what I've learned, I've learned from several sources. Mostly from my Larson/Edwards text and MIT videos. I'm enjoying Lang so far, though!
 

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