Interesting ideas for mathematics presentation

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SUMMARY

The discussion centers around a community college student's upcoming presentation for a science symposium, focusing on pure mathematics. The student plans to present theorems inspired by William Dunham's book "Journey through the Genius," specifically covering the Pythagorean theorem and Euler's identity. The presentation will include historical context, significance, and proofs for each theorem. Suggestions for additional topics included Quipu and the Golden Ratio, although the latter was deemed less rigorous by some participants.

PREREQUISITES
  • Understanding of fundamental mathematical theorems such as the Pythagorean theorem.
  • Familiarity with Euler's identity and its implications in mathematics.
  • Knowledge of historical mathematical concepts, particularly those discussed in "Journey through the Genius."
  • Basic research skills to explore topics like Quipu and the Golden Ratio.
NEXT STEPS
  • Research the historical significance and applications of Euler's identity.
  • Explore the mathematical principles behind the Pythagorean theorem.
  • Investigate the concept of Quipu and its role in Incan mathematics.
  • Study the controversies surrounding the Golden Ratio and its applications in various fields.
USEFUL FOR

Mathematics students, educators, and anyone interested in the historical and theoretical aspects of mathematical concepts.

sunny79
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I will be doing a presentation in the science symposium at my community college. The common theme is always topics from biology or chemistry but never from physics or mathematics.. I am a Math major and love pure mathematics, I am interested in presenting the great theorems of mathematics inspired by William Dunham's book called " Journey through the genius". The presentation will be around 12-15 minutes where I will try to present some of these theorems in the most interesting way. Other topics I had in my mind were Quipu : The mathematics of the Incas. Number theory and Golden ratio. Any other suggestions would be greatly appreciated.
 
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sunny79 said:
Other topics I had in my mind were Quipu : The mathematics of the Incas. Number theory and Golden ratio
I would stay away from this as it's nothing but hand waving.
 
Evo said:
I would stay away from this as it's nothing but hand waving.

These? http://en.wikipedia.org/wiki/Quipu

I think they'd make for a pretty interesting presentation.
 
jack476 said:
These? http://en.wikipedia.org/wiki/Quipu

I think they'd make for a pretty interesting presentation.
He was talking about golden ratio. If he wants to do a historical report just about how the Inca counted, no problem, if that's allowed.
 
Why is the golden ratio nothing but hand waving?
 
ulianjay said:
Why is the golden ratio nothing but hand waving?
It is often misused, you'll see it used with numerology and pseudoscience and outright woowoo.
 
ulianjay said:
Why is the golden ratio nothing but hand waving?

It's really more of an observation than a rigorously derived result. And Evo is right that it can stray dangerously close to math woo.

Evo said:
It is often misused, you'll see it used with numerology and pseudoscience and outright woowoo.
 
Thanks for the suggestions. I will be sticking to my original plan of theorems.
 
Anyway, looking back, I don't think the OP meant to combine the Inca and the golden ratio, I believe he meant them as separate topics..
 
Last edited:
  • #10
I really appreciate your input guys. I shall be doing a presentation about the Pythagoras theorem. Three theorems will be covered. 1) Algebraic 2) Geometric 3) Trigonometric with historical background, significance and a proof accompanied with each one.
 
  • #11
Ah well! Today was the final day of the topic submission. I ended up choosing to do a presentation on Euler's identity, An in-depth analysis from a historical, mathematical and scientific perspective. The presentation will be held in late April.
 
  • #12
sunny79 said:
Ah well! Today was the final day of the topic submission. I ended up choosing to do a presentation on Euler's identity, An in-depth analysis from a historical, mathematical and scientific perspective. The presentation will be held in late April.
Sounds interesting, good luck with it!
 
  • #13
Thanks a lot.
 

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