Calculus for Physicists: Best Textbooks for Real-World Applications

AI Thread Summary
The discussion centers on finding a calculus book that effectively connects integral calculus with practical applications in physics, emphasizing the need for intuitive understanding rather than formal proofs. Recommendations include "Mathematics for Physicists" by Mary Boas, which is noted for its clarity in applying calculus to physical problems. Other suggested titles are "An Introduction to Mechanics" by Kleppner and Kolenkow, and "Calculus" by Adams, which, while not specifically tailored to physics, is praised for its mathematical clarity. Some participants caution against "Calculus" by Michael Spivak, arguing it is more suited for math majors and not ideal for those focused on physics applications. Additionally, resources like free e-books and recommendations from the Mathematical Association of America are mentioned as valuable for further exploration. Overall, the thread highlights a preference for books that foster an intuitive grasp of calculus in physical contexts.
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.
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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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