Need tips on how to teach myself mathematical physics aside from school

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Discussion Overview

The discussion revolves around self-teaching mathematical physics, particularly focusing on the necessary mathematical foundations and resources available for beginners. Participants share their experiences and suggest various approaches, books, and online resources to aid in self-study.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a desire to learn mathematical physics and seeks recommendations for beginner-friendly books or guides beyond popular authors like Hawking and Greene.
  • Another participant emphasizes the importance of a strong mathematical foundation, suggesting a focus on calculus for at least a year before tackling classical physics and quantum mechanics.
  • Resources such as MIT's Open Course Ware (OCW) are mentioned as valuable for self-learners.
  • A link to Yale's online physics course is shared, with a note that the professor may delve deeply into mathematics.
  • Calculus is highlighted as a crucial component of physics, with a participant reflecting on the necessity of mastering it for understanding quantum mechanics.
  • One participant points out that self-studying lacks the structure of mandatory homework and tests, which are essential for truly learning calculus and applying it to problem-solving.

Areas of Agreement / Disagreement

Participants generally agree on the importance of calculus in learning mathematical physics and the need for structured study. However, there is no consensus on specific resources or methods, as different approaches and recommendations are presented.

Contextual Notes

Some participants mention varying levels of prior mathematical knowledge, which may influence their recommendations. The discussion does not resolve the best path for self-study, as multiple viewpoints and suggestions coexist.

Who May Find This Useful

Individuals interested in self-studying mathematical physics, particularly those seeking guidance on foundational mathematics and resources for independent learning.

Entropee
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Yeah i want to learn some mathematical physics, since i can't just jump from my classes to that different section yet, but perhaps there are books or guides out there for beginners?
If anyone knows of anything please let me know, Hawking and Greene can only take me so far lol.
 
Mathematics news on Phys.org
Do you have access to a university library? The road to a self-taught knowledge of physics is paved with mathematics. At this early stage you will want to read all the math books you can get your hands on. If you have had two or fewer courses in differential and integral calculus, then my advice is to concentrate on those subjects for at least a year. Borrow books ranging from intro to calculus, multi-variable calculus, vector calculus, advanced (rigorous) calculus, the calculus of variations, and differential equations (which is really just calculus). Then you will be ready to learn classical physics, mechanics and electromagnetism. Then you go back to math to learn concrete linear algebra (matrices, vectors), and abstract linear algebra (linear transformations and vector spaces), then ideally some mathematical analysis, then you are ready to learn basic quantum mechanics.
 
MIT's Open Course Ware (OCW) is pretty cool.
 
As arehttp://oyc.yale.edu/physics/fundamentals-of-physics/content/class-sessions" .

Though I think the professor goes a little crazy with the maths sometimes. Perhaps I need to heed Civilized's advice myself and get cracking on some more calculus.
 
Last edited by a moderator:
Perhaps I need to ... get cracking on some more calculus.

No doubt about it, calculus is far and away the most important mathematical component of physics. Even at the highest levels of mathematical physics, you are still looking at derivatives, integrals, and the exponential function.
 
oh man yeah sounds like i need to learn calculus...
but i know what you listed for QM, i wonder if you should know calc for that too...
thanks though guys :P
 
One of the biggest problems with self-studying is the lack of mandatory HW and tests. Simply reading through a calculus book will not teach you calculus. That's only the first step. Using what you've read to solve different kinds of problems is at least as important.
 

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