Rooting is not required. With USB cable connected, port 5555 opened across all involved firewalls and debug mode enabled
adb tcpip 5555
then look into wireless properties of your device and the network you use, to see which IP address have been granted to device (or configure your DHCP always to use the same for the device mac address). Then
adb connect 192.168.1.133
(were 192.168.1.133 is a sample IP address).
This is all. You can now use adb shell or adb install or adb upload or with USB cable plugged
out.
To switch back to USB mode,
adb usb
The device may also revert back to USB mode after reboot.