This commit is contained in:
Indigo5684
2025-09-30 13:19:29 -05:00
parent 204c45ca0d
commit 69ccf74433
3 changed files with 9 additions and 1 deletions

View File

@@ -16,4 +16,6 @@
**Definition**. If $K$ is generated by $F(\alpha)$, then $K$ is a *simple extension* of $F$. **Definition**. If $K$ is generated by $F(\alpha)$, then $K$ is a *simple extension* of $F$.
**Theorem**. Let $F$ be a field, $p(x) \in F[x]$ be irreducible. Then, if $\alpha$ is a root of $p(x)$ and $K$ is an extension of $F$ containing $\alpha$, then $F(\alpha) \cong \frac{F[x]}{(p(x))}$. **Theorem**. Let $F$ be a field, $p(x) \in F[x]$ be irreducible. Then, if $\alpha$ is a root of $p(x)$ and $K$ is an extension of $F$ containing $\alpha$, then $F(\alpha) \cong \frac{F[x]}{(p(x))}$.
TODO

View File

@@ -0,0 +1,3 @@
# Chapter 6 - Polarization and Magnetization
TODO

View File

@@ -0,0 +1,3 @@
# Chapter 7 - Time Dependent Electric and Magnetic Fields
TODO