Claude Code Hands-On (4): MCP Servers, or How Claude Talks to Anything

Tue, 21 Apr 2026 09:00:00 +0000

If you only learn one extension mechanism in Claude Code, learn MCP. It is the difference between an autocomplete and a platform.

The 60-second pitch#

MCP is Model Context Protocol — a small open spec that lets Claude Code call tools and read resources from external servers. The “server” is any process that speaks MCP over stdio or HTTP. Claude treats MCP tools the same as its built-in tools: the model decides when to call them, you confirm or auto-approve, results come back as text.

Differential Geometry (9): Integration on Manifolds and Stokes' Theorem

Wed, 17 Nov 2021 09:00:00 +0000

In single-variable calculus, the fundamental theorem says that integrating a derivative over an interval equals the boundary difference: $\int_a^b f'(x)\,dx = f(b) - f(a)$ . The “boundary” of $$[a, b]$$ is the two-point set $\{a, b\}$ , with $$b$$ counted positively and $$a$$ negatively. The right-hand side is the integral of $$f$$ over this signed boundary. The left-hand side is the integral of the derivative over the interval. This is, in essence, every “fundamental theorem” you have ever met — Green’s theorem in the plane, the divergence theorem in three dimensions, the classical Stokes’ theorem on surfaces. They are all instances of one statement on manifolds: the integral of $d\omega$ over $$M$$ equals the integral of $\omega$ over $\partial M$ .

Integration on Chen Kai Blog

Claude Code Hands-On (4): MCP Servers, or How Claude Talks to Anything

The 60-second pitch#

Differential Geometry (9): Integration on Manifolds and Stokes' Theorem