The Greatest Discovery in Maths

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Discussion Overview

The discussion revolves around identifying what participants consider the most significant discovery in modern mathematics. Various opinions are shared, touching on historical concepts, contemporary theories, and personal reflections on the nature of mathematical discovery.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests the concept of zero as a crucial mathematical discovery, attributing its origins to ancient civilizations like the Aztecs or Incas.
  • Another participant mentions differential calculus as a significant contribution to mathematics.
  • Concerns are raised about the relevance of personal opinion in interviews, with one participant emphasizing the importance of demonstrating interest and knowledge over repeating popular ideas.
  • Algebraic geometry, particularly the work of Grothendieck, is proposed by a participant as one of the greatest discoveries in mathematics.
  • The RSA algorithm is highlighted as a major achievement in securing information, with its implications for cryptography discussed.
  • A later reply references Ken Ono's work on partition numbers, suggesting its connections to broader mathematical concepts, including fractals.

Areas of Agreement / Disagreement

Participants express a range of opinions on what constitutes the most important mathematical discovery, with no consensus reached. Some emphasize historical contributions, while others focus on contemporary advancements.

Contextual Notes

Some statements reflect personal opinions and interpretations of mathematical significance, and the discussion includes references to various mathematical concepts without resolving their relative importance.

antevante
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Application interviews are coming up and it is always good to prepare for the question: "What is the most important discovery in mathematics (in modern time?), according to your oppinion?"

Is it the RSA-algorithm? Gödels Incompleteness theorem? The proof of Fermat's last theorem?

What do you maths-folk think?
 
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as simple as this will sound, i would have to say the concept of zero. zero was not a part of math for a long time. from what i heard/understand it was the aztecs or the incas that came up with the concept of zero/nothing.
 
Differential calculus come to mind.
 
Surely it is your opinion that counts at interview, and not someone else's? As it is I would not expect an incoming undergraduate to be able to give me a sensible answer to that question, since it is stupid to do so.

Instead I would look for motivated, interested people. People who can remember what they did in last week's class and who can cope with being given new material to digest on the spot.
 
Integration by First Principle Cracked

I FOUND A WAY TO INTEGRATE BY FIRST PRINCIPLE.
For example if we have dy/dx = 2x
dy + y = 2x(dx + x)
y = 2xdx + 2x^2 - dy
y = 2xdx + 2x^2 - 2xdx
y = 2x^2
y = x^2
 
I don't think it's our opinion that counts here. The interviewer will be looking for your interests you and what knowledge you have. Repeating from what you've heard won't benefit you, I think...

Anyway, one of the greatest discoveries in math is algebraic geometry by Grothendieck. This is really a marvelous piece of work...
 
micromass said:
I don't think it's our opinion that counts here. The interviewer will be looking for your interests you and what knowledge you have. Repeating from what you've heard won't benefit you, I think...

Hopefully the original poster managed to form his/her own opinion in the six years since he/she posted this thread. ;)
 
antevante said:
Is it the RSA-algorithm?

This is a huge milestone achievement. Keeping information secure is very important. Large numbers are difficult to factor, and being able to take advantage of this makes the RSA cryptosystem very powerful.
 
antevante said:
Application interviews are coming up and it is always good to prepare for the question: "What is the most important discovery in mathematics (in modern time?), according to your oppinion?"

Is it the RSA-algorithm? Gödels Incompleteness theorem? The proof of Fermat's last theorem?

If you want to be current, this is a pretty big discovery, the implications of which have yet, IMHO, to be fully recognized or appreciated, much less understood (I don't exclude myself...)...

Ken Ono cracks partition number mystery
https://www.physicsforums.com/showthread.php?t=465696

Just consider that the number of factorizations of prime powers is a partition number and so too the number of conjugacy classes of the symmetric group S_n. Now there is a clear bridge between these and the study of fractals.

EDIT: Of course, you would have had to be psychic to know that over 5 years ago...
 
  • #10
Please note that this thread is 5.5yrs old. The OP is long gone.

Necrothread locked.
 

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