What makes one type of mathematical modeling more difficult than the other?

dankshu
Messages
10
Reaction score
0
I'm guessing it depends on how many factors/how unpredictable a subject is, what is it really? What makes mathematical finance so rigorous- requiring a phd in math/finance- while something like systems biology or pharmacokinetics only requires knowledge up to linear algebra?
 
Mathematics news on Phys.org
dankshu said:
I'm guessing it depends on how many factors/how unpredictable a subject is, what is it really? What makes mathematical finance so rigorous- requiring a phd in math/finance- while something like systems biology or pharmacokinetics only requires knowledge up to linear algebra?
I think you have quite a wrong idea aobut things. There are many forms of "mathematical finance" that do NOT require a Ph.D. and there are many forms of mathematical biology or pharmacokinetics that might well require a Ph.D.

Oh, and "rigorous" has nothing to do with being difficult. To be "rigorous" in mathematics means to be very precise.
 

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 Modeling Asteroid Rotation Using Quaternions: Seeking Guidance on Init
Replies
3
Views
1K
B Are Inverse Problems More Complex Than Direct Problems in Mathematics?
Replies
13
Views
3K
Neural networks as mathematical models of intelligence
Replies
4
Views
2K
What type of mathematics did you find the most difficult?
Replies
6
Views
2K
Other How to self study mathematics for the sake of the subject?
Replies
3
Views
1K
Deciding between physics and mathematics
Replies
6
Views
3K
Masters in Mathematical Physics at LMU TUM or Hamburg?
Replies
13
Views
2K
What Are the Dynamics of a Single Species Population Model?
Replies
7
Views
2K
Programs University of Edinburgh or King's College London for mathematical physics masters?
Replies
4
Views
2K
Backing up computational neuroscience and neuronal/network modelling
Replies
1
Views
362

Hot Threads

Recent Insights

Back
Top