Intereting Posts

What is an intuitive explanation for $\operatorname{div} \operatorname{curl} F = 0$?
Cauchy-Schwarz in complex case, using discriminant
Prime ideals in $\mathbb{Z}$
Show that the closure of a subset is bounded if the subset is bounded
Numbers that are the sum of the squares of their prime factors
Want help for prove formula by combinatoric argument $1\cdot 2+2\cdot 3+3\cdot 4+\dots +n(n+1)=\frac{n(n+1)(n+2)}{3}$
Why isn't reflexivity redundant in the definition of equivalence relation?
How is the codomain for a function defined?
Is there a rank 3 boolean interval with G simple group?
Another version of the Poincaré Recurrence Theorem (Proof)
Brouwer transformation plane theorem
A Schwartz function problem
Closed Form for Factorial Sum
Explanations of Lebesgue number lemma
A question on the Lagrange Inversion Formula

I have searched the past entries about sources on SCV but couldn’t find about this topic. If I am not careful enough, sorry for this!

We are using Hörmander’s book which is really hard to follow. What do you suggest?

Besides textbooks, it’s welcome if you suggest manuscripts, lecture notes etc.

Thank you!

- Prove that the zeros of an analytic function are finite and isolated
- How to do contour integral on a REAL function?
- A problem about generalization of Bezout equation to entire functions
- Express $u(x,y)+v(x,y)i$ in the form of $f(z)$
- Prove if $|z| < 1$ and $ |w| < 1$, then $|1-zw^*| \neq 0$ and $| {{z-w} \over {1-zw^*}}| < 1$
- Show that the set of zeros of $f$ is discrete

- Fundamental group of GL(n,C) is isomorphic to Z. How to learn to prove facts like this?
- complex polynomial satisfying inequality
- Stereographic projection is conformal — from the line element
- Is there an English translation of Diophantus's Arithmetica available?
- Book recommendation for ordinary differential equations
- Relationship between complex number and vectors
- The integrals $ \int_{0}^{\infty} e^{-ax^{2}} \sin (bx^{2}) \,dx $ and $ \int_{0}^{\infty} e^{-ax^{2}} \sin \left( \frac{b}{x^{2}} \right) \, dx$
- Getting started with Lie Groups
- Gathering books on Lorentzian Geometry
- Non wandering Set

There’s an MIT OCW package from 2005 for a course in several complex variables available here.

Also, there’s a “sketch” of a course given at MIT in 2004 available here.

Lastly, of course there’s always this site, where many very smart people are more than happy to help with focused questions! 🙂

Range’s book Holomorphic Functions and Integral Representations in Several Complex Variables is very nice! See this

Krantz’s book is quite nice. Here is a link to it.

- How to show that a function is computable?
- Proving Theorems
- How do we use derivatives in our daily lives
- Lack of understanding of the proof of the existence of an irreducible polynomial of any degree $n \geq 2$ in $\mathbb{Z}_p$
- Do there exist vector spaces over a finite field that have a dot product?
- Transitive subgroup of symmetric group
- What are some easy to understand applications of Banach Contraction Principle?
- Is $7$ the only prime followed by a cube?
- References for Banach Space Theory
- What is to geometric mean as integration is to arithmetic mean?
- Average waiting time in a Poisson process
- Create a formula that creates a curve between two points
- with cocountable topology X Let Y be topological space and $f:X \to Y$ and $x_n \to x$ show $f(x_n)=f(x)$
- Determining whether two groups are isomorphic
- Showing Equality of Winding Numbers