Studying What math is required to "feel comfortable" with physics?

AI Thread Summary
To fully understand classical mechanics, relativity, and quantum mechanics, a solid foundation in various mathematical disciplines is essential. Key areas of study include calculus, linear algebra, partial differential equations (PDE), and ordinary differential equations (ODE). The mathematical concepts required can vary based on the level of theoretical understanding desired. While some advanced topics, like Lie groups, are beneficial, physicists typically focus on practical applications of mathematics rather than exhaustive theoretical knowledge. It is also noted that mathematical tools are often employed in physics as needed, emphasizing the importance of flexibility in learning. For those seeking resources, recommendations for specific books on these subjects were requested but not provided in detail.
KevinBCN
Hello everyone. As the title says, what math do I need to know to fully understand classical mechanics, relativity, quantum mechanics... I am studying from a calculus book, but this is mathematics in general it is not focused on physics. So, apart of this calculus book I'm studying from, what math do I need to study physics without fear to find something I couldn't solve? If you could recommend a book on any subject I'd appreciate it. Thanks in advance.
 
Physics news on Phys.org
You need linear algebra, Pde, ODE. There are more mathematics that are needed, depending on how theoretical you want to get.
 
KevinBCN said:
Hello everyone. As the title says, what math do I need to know to fully understand classical mechanics, relativity, quantum mechanics... I am studying from a calculus book, but this is mathematics in general it is not focused on physics. So, apart of this calculus book I'm studying from, what math do I need to study physics without fear to find something I couldn't solve? If you could recommend a book on any subject I'd appreciate it. Thanks in advance.
This is quite a long list, a trip through many mathematical fields. For this reason the mathematical part which is needed to understand physics is usually taught in parallel. E.g. Lie groups are important, but physicists don't need to know the entire theory. On the other hand, you said "to feel comfortable in" which is a rather strong condition. The crucial point is, that physicists apply all kind of mathematical tools whenever they promise success, sometimes even those which never have been expected to be useful.
 
MidgetDwarf said:
You need linear algebra, Pde, ODE. There are more mathematics that are needed, depending on how theoretical you want to get.
Thanks for the answer. Would this be enough to understand the subjects I named? If there's any other, what would it be?
 
Thanks for the answers. Would this be enough to understand the subjects I named? If there's any other, what would it be?
 
Depends on what you want to do.
 

Similar threads

Textbook/study plan questions
Replies
9
Views
2K
Studying Do I need to learn more math as a physics autodidact?
Replies
3
Views
2K
Studying Should I first study the math or math and physics at the same time?
Replies
9
Views
4K
Is this a good self-study program?
Replies
16
Views
2K
Studying How to self-study physics past High School Level?
3
Replies
102
Views
5K
Studying Looking for a thread discussing ideal math classes for physics major
Replies
1
Views
765
Studying How Should I Study Quantum Mechanics and Which Math Should I Know?
Replies
7
Views
2K
Recommendations for study materials to prepare for undergrad Physics
Replies
7
Views
2K
Self Learning Math/Physics
2
Replies
71
Views
663
Introduction to Modern Astrophysics -- What are the prerequisites?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top