1
vote
0answers
38 views

Applications of PDEs

I teach an undergrad ODE course. As I have completed basically all the material, I thought it would be nice to give the students a brief introduction to PDEs. At the end of the lecture, I said that ...
9
votes
0answers
62 views

Statistics Primer for the Unwary Mathematician

I have a new position in a biology department (after being housed in a maths department) working on cognitive and population modeling. People in my lab are asking for help with applying statistical ...
0
votes
0answers
41 views

What would be a good source to learn differential equations?

I have done my school mathematics well but I have had difficulties in modeling even relative easy problems to differential equations. Are there some good books or some other material to learn to ...
2
votes
0answers
44 views

Applications of the Kuratowski closure-complement theorem

I crossed with the Kuratowski closure-complement theorem while learning Munkres's Topology (Problem 21 in Section 17; Page 102, 2nd edition). The following description is from B.J. Gardner and M. ...
1
vote
1answer
24 views

Extensions to linear control with output constraints

Does anybody know which extensions to the linear controller exist that can cope with constraints in the output value and its derivative? Usually, the plant being controlled have some limits and I ...
10
votes
1answer
170 views

Applications of TQFTs beyond physics

I'm giving a talk at a postgrad seminar on the topic of topological quantum field theories (TQFTs) with a mixed audience of pure and applied mathematicians. As such, I'd like to be able to offer some ...
0
votes
1answer
51 views

How do I model a real life observation with mathematical expression or equation(s)?

I am looking for a guide to learn how to model real life situations into mathematical equations and able to simulate them. My target is to able to understand and interpret something I observe into a ...
1
vote
1answer
121 views

Applications of higher powers of trigonometric functions

I am after a reference (book, papers etc) about the practical applications of trigonometric functions raised to higher powers. An example is one that I have been using in my own studies: $\cos^4 ...
2
votes
2answers
75 views

Recommendations for website/journal/magazine in applied mathematics

Which website/journal/magazine would you recommend to keep up with advances in applied mathematics? More specifically my interest are: multivariate/spatial interpolation numerical methods ...
10
votes
3answers
321 views

Applications of Banach Algebras and Operator Algebras

I am trying to learn operator algebra theory (I am tempted to start with Douglas' "Banach Algebra Techniques in Operator Theory"). One aspect that I am curious about is whether there are significant ...
13
votes
3answers
660 views

Exceptional books on real world applications of graph theory.

What are some exceptional graph theory books geared explicitly towards real-world applications? I would be interested in both general books on the subject (essentially surveys of applied graph ...
1
vote
0answers
46 views

KdV and forest dynamics

Today on the lection on KdV equation $$ u_t - 6uu_x + u_{xxx} = 0 $$ I was told that this equation describes forest dynamics. I tried to find something on this topic in the internet but without ...
8
votes
5answers
347 views

Is there any abstract theory of electrical networks?

Designing electrical networks is among the highly mathematical engineering disciplines, which uses a vast scope of techniques from Fourier analysis and complex function theory, to logic, combinatorics ...
7
votes
4answers
254 views

Mathematics applied to biology

Can anyone suggest reference material on mathematics applied to biology, in particular the study of the behavior of say simple unicellular organisms or cells? Ideally the level of complexity should be ...
7
votes
1answer
325 views

Any resource of the applications of the theory of class fields

We all agree that the theory of class fields plays an eminent role in modern number theory. Nevertheless, what was our main concern is that how to solve various Diophantine equations to which the ...
6
votes
4answers
403 views

recommend paper on application of group theory

Application field can vary from biology\biochemistry, to computer science\coding theory, the more unexpected a connection to a field, the better. And paper preferably should be not very large one. ...