Recommend math topics for physics?

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Discussion Overview

The discussion revolves around recommendations for additional mathematical topics that would be beneficial for studying physics, particularly for someone who is about to take calculus III, differential equations, and linear algebra. Participants suggest various mathematical subjects and resources that could enhance understanding in physics.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that differential geometry, partial differential equations (PDEs), and analysis would be useful topics for physics.
  • Another participant recommends a specific book on differential forms as a precursor to differential geometry and advises researching various analysis books to find one that suits the reader's needs.
  • A participant mentions that Arnold's "Ordinary Differential Equations" is a good resource for differential equations.
  • There is a discussion about the prerequisites for Arnold's book, with one participant questioning whether it is suitable given the OP's current knowledge level in analysis and linear algebra, suggesting that a different book, such as Tenenbaum & Pollard's, might be more appropriate.

Areas of Agreement / Disagreement

Participants express differing opinions on the suitability of specific books and topics, indicating that there is no consensus on the best approach or resources for the OP's situation.

Contextual Notes

Some participants note prerequisites for certain books, highlighting the potential limitations in the OP's current mathematical background. There is also mention of varying opinions on the necessity of advanced topics like topology and abstract algebra for understanding differential equations.

Who May Find This Useful

Students preparing for advanced studies in physics who are seeking additional mathematical resources and topics to enhance their understanding.

Fizex
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I'll be taking calc III, diff. eq. and linear algebra this semester and I want to learn 6-10 additional topics so I can purchase some books to read during the semester. What topics would be most useful to physics?

I think differential geometry would be one. PDE's and analysis are another.
 
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Why don't you get https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20? Do a bit of research into this book & into Forms in general, they would be a great precursor to Diff Geom. As for analysis, all I can say is type real analysis or mathematical analysis into amazon search & read the contents pages of every book & the reviews of every book, also read old PF discussions about analysis books & you'll find a book that suits you :cool:
 
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A very good book on DE's is Arnold Ordinary differential equations.
 
deluks917 said:
A very good book on DE's is Arnold Ordinary differential equations.

Yeah but aren't the prerequisites for that book familiarity with analysis & linear algebra as
the book says? Even one person on amazon says topology, abstract algebra & diff geom
(which is probably a bit of an exaggeration). The OP is only learning LA & thinking of
analysis so a Differential equations book like Tenenbaum & Pollards one would be more apt.
 

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