Examples of modern mathematics in everyday life

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SUMMARY

This discussion highlights the application of modern mathematics in everyday technology, specifically mentioning elliptic curve theory in ATMs and fractal theory in cell phone antennas. It emphasizes the significance of linear algebra and advanced probability in Google's PageRank algorithm, which utilizes stochastic processes and Markov chains for web ranking. Additionally, it notes the role of topology, measure theory, and number theory in fingerprint recognition and cryptography, respectively. The conversation underscores the pervasive influence of mathematics across various fields, including physics and engineering.

PREREQUISITES
  • Understanding of elliptic curve theory
  • Familiarity with linear algebra and advanced probability
  • Knowledge of stochastic processes and Markov chains
  • Basic concepts of topology and number theory
NEXT STEPS
  • Research elliptic curve cryptography and its applications
  • Explore the mathematical foundations of Google PageRank
  • Learn about the applications of fractal theory in technology
  • Study the principles of stochastic processes and their real-world applications
USEFUL FOR

Mathematicians, computer scientists, engineers, and anyone interested in the practical applications of mathematics in technology and everyday life.

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For example, I just heard that ATMs are possible thanks to the development of elliptic curve theory. Also that internal cell phone antennas are an application of fractal theory.

Can you share any other specific examples?
 
Last edited:
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A famous example is Google pagerank, which uses linear algebra and advanced probability.
Cell phone antennas also use unitys in group rings.
fingerprint recognitions uses topology, measure theory and a lot of analysis.
Security mechanism everywhere depend on number theory.
 
Hoe modern do you want to consider? All of physics and engineering makes use of mathematics. Also cryptography uses number theory. Statistics is used all over the place.
 
micromass said:
A famous example is Google pagerank, which uses linear algebra and advanced probability.

What kind of probability to be more specific?
 
kramer733 said:
What kind of probability to be more specific?

Stochastic processes and Markov chains. Google sees the web as a giant Markov chain and the pagerank is calculated by the stationary distribution.
 
Bistromath stardrives use the complex calculations involved in fairly splitting up the bill of a light lunch with lattes and scones.
 

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