Calculus for Physicists: Best Textbooks for Real-World Applications

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Discussion Overview

The discussion revolves around recommendations for calculus textbooks that are particularly applicable to physics, focusing on integral calculus. Participants express a desire for resources that emphasize understanding mathematical concepts in physical terms rather than formal proofs.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant seeks a calculus book that helps develop intuition for setting up integrals based on real physical situations.
  • Mary Boas is suggested as a potential resource.
  • Morris Kline's book is mentioned as a possible recommendation.
  • Another suggestion is to solve many physics problems that require calculus, with a specific mention of "An Introduction to Mechanics" by Kleppner/Kolenkow.
  • Michael Spivak's "Calculus" is recommended by one participant, while another strongly criticizes it as unsuitable for physics students, labeling it more appropriate for math majors.
  • Free resources are suggested, including a website with free books, one of which is by physicist Benjamin Cromwell.
  • Adams' "Calculus" is mentioned as a useful tool for learning the math needed for physics, despite not being specifically tailored to physics.
  • A free tutorial resource is also provided for consideration.
  • Silvanus Thompson's "Calculus Made Easy" is suggested as another option.
  • JPK emphasizes that Ricard Currant's calculus book is recommended for college libraries and includes sections devoted to physics.

Areas of Agreement / Disagreement

There is no consensus on the best textbook, with participants offering multiple competing recommendations and expressing differing opinions on the suitability of specific texts, particularly regarding Spivak's "Calculus."

Contextual Notes

Participants express varying levels of familiarity with the forum and its resources, indicating potential limitations in their recommendations based on personal experiences or preferences.

daniel0
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Can anyone recommend a good book that teaches calculus (particularly integral calculus) in a way that is specifically applicable to applications in physics? I'm looking for something to help me review and solidify the calculus I have already learned but I get lost in all of the formalism that dominates most texts and is of no use to my current pursuit. For example, something that would help me develop an intuition for how to setup integrals based on real physical situations. I want something that helps me understand what the math means in physical terms rather than formal proofs and abstract concepts. Thanks in advance for any suggestions.
 
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Thank you. Sorry about the wrong forum/potentially redundant topic. I've been navigating the site on a sluggish tablet so I haven't yet had a chance to properly familiarize myself.
 
daniel0 said:
For example, something that would help me develop an intuition for how to setup integrals based on real physical situations. I want something that helps me understand what the math means in physical terms rather than formal proofs and abstract concepts. Thanks in advance for any suggestions.
Just solve many physics problems that require calculus. Maybe An Introduction to Mechanics by Kleppner/Kolenkow.
.
 
I hear the book Calculus by Michael Spivak is great for this purpose!
 
You might want to check out free books; for example at:
http://www.e-booksdirectory.com/listing.php?category=469
Note that one of these is by Benjamin Cromwell who is a physicist that is very active here on physics forums; I suspect his book is geared the right way for you. If not then poke around that site and there might be one that suits you.

jason
 
"Calculus" by Adams. It may not be tailored to physics directly, but is an awesome tool for quickly learning the math you need to understand physics.
 
  • #10
calculus made easy? by silvanus thompson.
 
  • #11
Spivak's Calculus is a horrible choice for anyone interested in physics. It is written for math majors & it should really be considered an introductory analysis book. He has even written that he would consider giving it a different title if he were to do it again.
Ricard Currant's calculus book is one of the very few calculus books recommended for college libraries by the Mathematical Association of America.

http://www.maa.org/publications/maa-reviews/basic-library-list

In addition to being a wonderful math book it has several sections devoted to physics.

JPK
 
  • #12
JPKelly6 said:
Spivak's Calculus is a horrible choice for anyone interested in physics.

That poster was just taking a piss by recommending Spivak. Though someone should have said something at the time.
 

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