I was having the same issue and this is what I ended up with however, I didn't use Bootstrap alpha since the beta has since been released.
- Install Bootstrap along with its dependencies, jQuery and Popper.js:
npm install bootstrap@4.0.0-beta popper.js jquery --save-dev
- Edit your
/build/webpack.dev.conf.js
file to add a plugin for jQuery and Popper.js to deal with dependencies (you can read more about that in the Bootstrap docs):
plugins: [
new webpack.ProvidePlugin({
$: 'jquery',
jQuery: 'jquery',
'window.jQuery': 'jquery',
Popper: ['popper.js', 'default'],
Util: "exports-loader?Util!bootstrap/js/dist/util",
Dropdown: "exports-loader?Dropdown!bootstrap/js/dist/dropdown",
})
]
- Edit
/src/main.js
to import Bootstrap into the app's entry point:
import Vue from 'vue'
import App from './App'
import router from './router'
import 'bootstrap'
- Edit the App.vue' file's
<style>
portion to import Bootsrap into your app's root css:
<template>
<div id="app">
<img src="./assets/logo.png">
<router-view></router-view>
</div>
</template>
<script>
export default {
name: 'app'
}
</script>
<style>
#app {
font-family: 'Avenir', Helvetica, Arial, sans-serif;
-webkit-font-smoothing: antialiased;
-moz-osx-font-smoothing: grayscale;
text-align: center;
color: #2c3e50;
margin-top: 60px;
}
@import'~bootstrap/dist/css/bootstrap.css'
</style>
- Run your Vue app from the CLI
npm start

I had to add the @import rule after the #app selector, otherwise the scoped styling
would be canceled out by the Bootstrap import. I think there is a better way to do this so I will update my answer once I figure it out.
window.jQuery = window.$ = $;
does not work" Well, no, because nowhere in your code is$
being set.window.jQuery = window.$ = require('jquery')
might work better. – ceejayoz