MHB How Can Pell's Equation Enhance Elementary Number Theory?

  • Thread starter Thread starter matqkks
  • Start date Start date
  • Tags Tags
    Resources
AI Thread Summary
Pell's equation can be effectively introduced in elementary number theory through its historical context and connection to continued fractions. Practical applications include solving problems in Diophantine equations and cryptography. Interesting questions surrounding Pell's equation involve its solutions, properties, and connections to other mathematical concepts. Recommended resources for further exploration include textbooks and online lectures that focus on number theory. Understanding Pell's equation enriches the study of elementary number theory significantly.
matqkks
Messages
280
Reaction score
5
What is the best way to introduce Pell’s equation on a first elementary number theory course? Are there any practical applications of Pell’s equation? What are the really interesting questions about Pell’s equation? Are there any good resources on Pell’s equation.
 
Mathematics news on Phys.org
matqkks said:
What is the best way to introduce Pell’s equation on a first elementary number theory course? Are there any practical applications of Pell’s equation? What are the really interesting questions about Pell’s equation? Are there any good resources on Pell’s equation.

Hi everyone, :)

I just wanted to point out that this question was answered at,

https://www.linkedin.com/grp/post/4510047-6027195611164454913?trk=groups-post-b-title

so as to avoid duplication of effort.
 
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...
Back
Top