About Advanced Calculus by Loomis and Sternberg

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Discussion Overview

The discussion revolves around the book "Advanced Calculus" by Loomis and Sternberg, focusing on its suitability for different audiences, particularly comparing its mathematical density to other texts like Rudin's "Principles of Mathematics." Participants explore whether the book is more aligned with the needs of physicists or if it stands as a rigorous mathematical text.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that "Advanced Calculus" is more suited for a physicist's audience, despite its mathematical density, especially when compared to Rudin's work.
  • Another participant expresses a preference for Loomis and Sternberg's book over Rudin's, finding it more comprehensive and descriptive.
  • Some participants provide links to additional resources and books that may be of interest to those seeking more mathematical texts.

Areas of Agreement / Disagreement

Participants express differing opinions on the suitability of "Advanced Calculus" for physicists versus its mathematical rigor, indicating that there is no consensus on its classification.

Contextual Notes

Participants reference various other texts and resources, indicating a range of preferences and interests in mathematical literature without resolving the debate on the classification of Loomis and Sternberg's book.

wisvuze
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Hey, I found a copy of this book at my school library and I've been looking through it; I've been brought under the impression that this book is more geared towards a physicists audience versus being a "pure math" book. But other than the final chapter on mechanics, I've so far thought that the book is as math as anything else. In fact, it's very descriptive and comprehensive and eludes to things other math books at this level maybe won't
does anyone else think that this book is more suitable for a physicist? I don't get how you can call rudin's "principle of mathematics" a pure math book, and this a physicists' math book when this is far more mathematically dense than rudin's book
 
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thanks, but I'm looking for a math-math book, but I think so far this loomis book has been really great; so far, much better than rudin's book or anything like that. Other than Dieudonne's "Foundations of mathematical analysis", I think this had been my favourite analysis book so far
 

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