Intereting Posts

Row and column algorithm
The Pythagorean theorem and Hilbert axioms
Can you pick a random natural number? And a random real number?
The distinction between infinitely differentiable function and real analytic function
Some questions concerning the size of proper classes in ZFC
for a $3 \times 3$ matrix A ,value of $ A^{50} $ is
The inegral $\int_1^2 2x \sqrt{x^2 + 1}\; dx$ using differential forms
Combinatoric task about flock of sheep
What is the probability of a randomly chosen bit string of length 8 does not contain 2 consecutive 0's?
Why dividing by trigonometric functions gives wrong answer when solving trigonometric equations?
Finding the sum- $x+x^{2}+x^{4}+x^{8}+x^{16}\cdots$
If the sum of two i.i.d. random variables is normal, must the variables themselves be normal?
What is the intuition for the point-set topology definition of continuity?
“Where” exactly are complex numbers used “in the real world”?
Derivative of cot(x)

Is there any textbook (preferably not written by a physicist) on classical electrodynamics which gives a rigorous (by the standards of pure mathematics) treatment of (a part of) the topics found in the standard (nonrigorous) physics textbooks such as Jackson? (I don’t want to see anything like $\delta(x)$, the text should use distribution theory whenever necessary. Of course it is a shame that Bourbaki did not write such a thing.) Thanks a lot

- $1992$ IMO Functional Equation problem
- When is $f^{-1}=1/f\,$?
- Vanishing of the first Chern class of a complex vector bundle
- Brave New Number Theory
- Can the “inducing” vector norm be deduced or “recovered” from an induced norm?
- Theorem that von Neumann proved in five minutes.
- Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
- Book for Markov Chain Monte Carlo methods
- Building a hidden markov model with an absorbing state.
- Best Book For Differential Equations?

*Electromagnetic Theory and Computation A Topological Approach*

by Paul W. Gross and P. Robert Kotiuga. Free in http://library.msri.org/books/Book48/.

Also, this thread: https://physics.stackexchange.com/questions/44973/electromagnetism-for-mathematician.

Any book on differential gemoetry with gauge theory and bundles would probably do the job. Why don’t you have a look at Y. Choquet-Bruhat, C. DeWitt-Morette’s Analysis, Manifolds and Physics (both volumes)? In volume I, chapter Vbis (“Connections on a Principal Fibre Bundle”) classical electrodynamics is treated as gauge theory on certain fibre bundles.

- Isomorphism on Cohomology implies isomorphism on homology
- Probability of picking an odd number from the set of naturals?
- Existence theorem for antiderivatives by Weierstrass approximation theorem
- Given $U$ with known PDF, find $W$ independent of $U$ such that $U+W$ is distributed like $2U$
- Deriving equations of motion in spherical coordinates
- Context free grammar for a language
- Examples of transfinite induction
- Show that $11^{n+1}+12^{2n-1}$ is divisible by $133$.
- How to calculate $\lim_{x \to 0} \frac{x^{6000} – (\sin x)^{6000}}{x^2(\sin x)^{6000}}$?
- A good introductory discrete mathematics book.
- Test for convergence the series $\sum_{n=1}^{\infty}\frac{1}{n^{(n+1)/n}}$
- Books for inequality proofs
- Young's inequality for discrete convolution
- How find this $\lim_{n\to\infty}n^2\left(\frac{1^k+2^k+\cdots+n^k}{n^{k+1}}-\frac{1}{k+1}-\frac{1}{2n}\right)$
- Show that the iterated $\ln^{}$ of tetration(x,n) is nowhere analytic