What Are Some Recommended Post A-Level Mathematics Topics?

AI Thread Summary
The discussion centers on a person's desire to expand their mathematical knowledge beyond A-level mathematics and quantum mechanics, specifically in the context of string theory. They express familiarity with differential equations and seek guidance on further studies in mathematics, particularly in algebraic topology, number theory, polynomials, and group theory. The individual requests introductory books or resources suitable for someone at a post-A-level level. Additionally, a suggestion is made to read Euclid's Elements as a foundational text for various mathematical topics. The conversation highlights the importance of finding appropriate resources to deepen understanding in these advanced mathematical fields.
moriheru
Messages
273
Reaction score
17
I have did my A-level mathematics a long while ago and I did QM for about three to four months and got to Bosonic String theory now, but I would like to do some mathematics beside String theory. I do not know if differential equations are coverd in university but I did them to and I know how to solve them, so please do not suggest books on differential equations. My question is where to go from here. The fields that apeal to me are algebraic topology, number theory, polynomials, group theory. Any introductiory books on these fields or any other post A-level books are welcome.

Thanks for any help.
 
Physics news on Phys.org
Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

Thread '"WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians'

The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
View full post »

Thread 'Books with a more theoretical approach to turbulence and DNS'

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
View full post »

Similar threads

Other Recommendation for Mathematics for Physicist and Engineers book
Replies
6
Views
2K
Please recommend a free pdf book about university-level mathematics for me
Replies
5
Views
3K
Mathematics to understand Quantum Scattering Theory
Replies
10
Views
2K
Intro Math Hassani's books on Mathematical Physics/Methods
Replies
3
Views
4K
Books on Weak Interaction
Replies
0
Views
896
High Energy String Theory Books: Intro & Advanced Level | GSW, Polchinski, McMahon, Becker
Replies
3
Views
3K
Foundations Should I start with Lang's Basic Mathematics or Gelfand's books?
Replies
4
Views
6K
Cosmology What are some recommended books for studying mathematical physics?
Replies
3
Views
2K
Book on how to define ideas rigorously
Replies
6
Views
2K
Applied A question about mathematics textbooks for physicists
Replies
34
Views
6K

Hot Threads

Recent Insights

Back
Top