Yes it does
If you have iTunes for Windows and have iOS apps saved on your Windows computer, you cannot actually use the apps in any way on the computer. The one exception would be if you jailbreak, you can be able to use anything on your iPhone's display on your computer. I am not sure how that works, but I know it is possible.
First download the apps onto your computer using iTunes. Plug in your iPod to your computer, open iTunes, and set the sync settings so that you can download apps to it, sync your iPod and you should see the apps on there. This requires an iTunes account.
Connect your iPhone/Pod to your computer/laptop, open iTunes and sync your iPhone/Pod. The apps will then appear in your "applications" tab of iTunes.
As long as your computer has itunes that is authorised on the same itunes account as your iphone, then it will automatically transfer all your iphone apps onto the computer
If you mean opening an iPhone app from iTunes and running it on your computer, that’s not possible. iTunes can manage apps, backups, and device content, but it cannot run iOS apps on a PC or Mac. If you want to use an app on your computer, you’ll need a desktop version of the app, a web version, or an iOS emulator (for supported apps). If you just want to install an app on your iPhone through iTunes, you can sync it from your computer to the device.
To download free apps from your computer to an iPod Touch, first install iTunes on your computer and sign in with your Apple ID. Open the App Store within iTunes, find the apps you want, and click "Get" to download them. Once the apps are downloaded, connect your iPod Touch to the computer via USB, select it in iTunes, and sync the apps to transfer them to your device. Make sure to keep your iPod Touch updated to ensure compatibility with the apps.
You hook it up to a computer, go to itunes on internet, then buy apps.
Yes, via iTunes.
with the ipod plugged to your computer open itunes and go to File/transfer purchases even if the apps you have are free
check for available downloads or download them individually
with the ipod plugged, open itunes, go to File/transfer purchases to computer
There are two ways: 1. First download the apps onto your computer using iTunes. Plug in your iPod to your computer, open iTunes, and set the sync settings so that you can download apps to it, sync your iPod and you should see the apps on there. 2. Go to the app store on your iPod and download them from there. Both require an iTunes account.