Intereting Posts

Fourier Transform of Heaviside
Is there any pythagorean triple (a,b,c) such that $a^2 \equiv 1 \bmod b^{2}$
Create a Huge Problem
Grothendieck group of the monoid of subsets in a group
Why can/do we multiply all terms of a divisor with polynomial long division?
Why $\int_0^1(1-x^4)^{2016}dx=\prod_{j=1}^{2016}\left(1-\frac1{4j}\right)$?
derivation of simple linear regression parameters
If two measures agree on generating sets, do they agree on all measurable sets?
How to solve the equation, $(x+y)(y+z)(x+z) = 13xyz$ for $x,y,z \in Z$.
Is there any theorem that tells us how many ICs or BCs are needed for getting the determine solution of a PDE or a set of PDEs?
Prove that there are no such different positive numbers that satisfy both $a+b=c+d$ and $a^3+b^3=c^3+d^3$.
Let $p$, $q$ be prime numbers such that $n^{3pq} – n$ is a multiple of $3pq$ for all positive integers $n$. Find the least possible value of $p + q$.
What do the eigenvectors of an adjacency matrix tell us?
Turning cobordism into a cohomology theory
Is this proof for Theorem 16.4 Munkers Topology correct?

As the title, are there any good reference texts for introduction to partial differential equation?

- Numerical methods book
- Reference Text that develops Linear Algebra with Knowledge of Abstract Algebra
- Good exercises to do/examples to illustrate Seifert - Van Kampen Theorem
- Literature suggestions: Stochastic Integration; for intuition; for non-mathematicians.
- Question about equivalent norms on $W^{2,2}(\Omega) \cap W^{1,2}_0(\Omega)$.
- Five squares in a box.
- Complex analysis book with a view toward Riemann surfaces?
- Need Help: Any good textbook in undergrad multi-variable analysis/calculus?
- List of problem books in undergraduate and graduate mathematics
- $ W_0^{1,p}$ norm bounded by norm of Laplacian

I think the answer to your question depends on whether you’re more interested in the theory of partial differential equations or in how to compute the solutions to concrete equations.

At a more theoretical level you can try Ronald Evans’ Partial Differential Equations: Second Edition (Graduate Studies in Mathematics). This is one of the most complete textbooks on PDEs around, I think.

On the more practical side, you can try Polyanin’s Handbook of Partial Differential Equations. This is more of a solution recipe book, but has interesting tips and ideas on how to tackle a large number of problems.

I would recommend “Partial Differential Equations with Fourier Series and Boundary Value Problems” written by Asmar. It is a text for beginners in the subject, but eventually it gets very far, to a thorough treatment of Green’s functions. It does also include a lot of material on Bessels functions.

- A 2×2 matrix $M$ exists. Suppose $M^3=0$ show that (I want proof) $M^2=0$
- Generating Pythagorean triples for $a^2+b^2=5c^2$?
- Basic proof by Mathematical Induction (Towers of Hanoi)
- Continuity of the derivative at a point given certain hypotheses
- Inverse Laplace of $ \frac{1}{\sqrt{s} – 1} $?
- Definition of Category
- Geometrico-Harmonic Progression
- How to approach number guessing game(with a twist) algorithm?
- Countable choice and term extraction
- 3 Statements of axiom of choice are equivalent
- Strategies and Tips: What to do when stuck on math?
- How to find the standard matrix for H(θ) by finding the images of the standard basis vectors?
- Why is the probability that $(X_1+\ldots+X_n)/n$ converges either $0$ or $1$?
- Is every function with the intermediate value property a derivative?
- Is there a homomorphism from a full product of finite cyclic groups onto $\mathbb Z$?