How vast is the subject of Mathematics?

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SUMMARY

The field of mathematics has expanded significantly over the last century, with an overwhelming number of new papers published daily, making it nearly impossible to keep up with even a small subfield. The complexity of mathematical proofs has also increased, with some spanning thousands of pages. While a direct comparison to physics is challenging, the sheer volume and depth of mathematical knowledge suggest that it may be more vast than physics, particularly due to its rapid development in the last 100 years.

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  • Understanding of mathematical subfields and their complexities
  • Familiarity with academic publishing in mathematics
  • Knowledge of theorem proof structures
  • Basic concepts in physics for comparative analysis
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Students, educators, and researchers in mathematics and physics, as well as anyone interested in the evolution and scope of mathematical knowledge.

MHD93
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I hope my question is not that silly, because it interests me to know how big the knowledge of Mathematics has become after its long history, at least I need a simple comparison between it and Physics.
 
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Your question is not silly at all. But the answer is difficult. It's hard to tell you how immense the field of mathematics is.

To give you an idea. Even if you were to focus on a small subfield of mathematics, there appear still more papers every day than you could possibly read.

And some proofs for theorems are 1000's of pages long. And that's just one result.

Whether it is more vast than physics, I don't know. But it wouldn't surprise me.

It's long history as nothing much to do with it though. In the beginning of the 20th century, math wasn't that developed. But there was a real explosion the last 100 years.
 

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