What are the main types of mathematics?

  • Thread starter Thread starter Cinitiator
  • Start date Start date
  • Tags Tags
    Mathematics
AI Thread Summary
The main types of mathematics encompass several broad areas, including algebra, analysis, topology, and various branches of calculus such as differential and integral calculus. Each of these areas can be further divided into sub-disciplines, reflecting the complexity and depth of the field. A comprehensive resource for understanding these classifications is available on Wikipedia, which details the structure of mathematical subjects. The discussion highlights the multifaceted nature of mathematics and the importance of recognizing its diverse branches. Overall, mathematics is a vast discipline with numerous interconnected areas of study.
Cinitiator
Messages
66
Reaction score
0
What are the main types of mathematics?

By types, I mean general areas. For example:
-Algebra
-Differential calculus
-Integral calculus
-Multivariable calculus
-Linear algebra
...
 
Mathematics news on Phys.org
Cinitiator said:
What are the main types of mathematics?

By types, I mean general areas. For example:
-Algebra
-Differential calculus
-Integral calculus
-Multivariable calculus
-Linear algebra
...

Hey Cinitiator and welcome to the forums.

This is a multi-faceted question: it depends how you look at it.

The big areas of pure mathematics include analysis, topology and algebra. These are divided up into sub-areas and so it goes on.

This site will do a better job than I ever can:

http://en.wikipedia.org/wiki/Mathematics
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Back
Top