Compiling Typescript applications with external modules

I have a very simple code in my app.tsx file:

/// <reference path="../modules/ReactSpa/Routing/Router.ts" />

import Router = ReactSpa.Routing.Router;

var router = new Router();
router.addParam('id', /([\d\-]+)/);
router.add('/articles/:id', 'Article');
console.log(router.find('/articles/1234'));

My tsconfig.json file:

{
    "compilerOptions": {
        "module": "umd",
        "sourceMap": true,
        "diagnostics": true,
        "jsx": "react",
        "out": "public/assets/scripts/compiled/app.js"
    },
    "files": [
        "dev-files/scripts/applications/app.tsx"
    ]
}

Run compiling:

tsc

All work great! Now a want to include external library, React for example.

npm install react --save
npm install react-dom --save
tsd install react --save
tsd install react-dom --save

Change app.tsx file:

/// <reference path="../modules/ReactSpa/Routing/Router.ts" />
/// <reference path="../../../typings/react/react.d.ts" />
/// <reference path="../../../typings/react/react-dom.d.ts" />

import Router = ReactSpa.Routing.Router;
import React = __React;
import ReactDOM = __React.__DOM;

var router = new Router();
router.addParam('id', /([\d\-]+)/);
router.add('/articles/:id', 'Article');
console.log(router.find('/articles/1234'));

interface HelloWorldProps {
    name: string;
}

var HelloMessage = React.createClass<HelloWorldProps, any>({
    render: function() {
        return <div>Hello {this.props.name}</div>;
    }
});

ReactDOM.render(<HelloMessage name="John" />, document.getElementById('hello'));

It compiles without any errors, but compiled file does not contain source code of React - only code of my libraries and code of app.tsx file.

I tried change import like this:

import React = require('react');
import ReactDOM = require('react-dom');

In this case compiled file contains only code of my libraries, even without code of app.tsx...

Bu the way, my modules defined like this:

namespace ReactSpa.Routing {
    export class Router {
    // ...

I read official docs, many articles, and themes at stackoverflow.com, but I just can not do this...