Numerical Analysis: What is It? Physics Major Benefits?

PhilosophyofPhysics
Messages
94
Reaction score
1
Can you tell me what Numerical Analysis is? I wonder if this is good for a Physics major to take?
 
Mathematics news on Phys.org
Numerical analysis is the study of numerical methods for analyasis of functions. Finding roots, maximum, mimiums etc. as well as methods for numerical solutions to differential equations.

Yes this is good stuff for a Physics major.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I Proof for interpolating polynomial and error approximation
Replies
6
Views
2K
I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##
Replies
16
Views
444
A Applications of analysis in signal processing/machine learning?
Replies
5
Views
2K
I Post your favorite real analysis problem
Replies
5
Views
2K
MHB Question about errors in Numerical Analysis
Replies
2
Views
2K
I Skipping elementary calculus and starting at analysis?
Replies
12
Views
3K
I How can you know if a numerical solution is correct?
Replies
3
Views
1K
Courses Choosing courses for mathematics minor to support my physics major
Replies
6
Views
2K
B The Paradox of 1 – 1 + 1 – 1 + 1 – 1 + …
Replies
5
Views
2K
I Make Intelligent Initial Guesses for Newton-Raphson Programmatically
Replies
16
Views
3K

Hot Threads

Recent Insights

Back
Top