If you are working on a Spring Application within Eclipse IDE, your best alternative would be to start you appliction using an embedded Application Server (Best I would recommand are Jetty or Tomcat if you ain't need EE level components).
You can follow this link, which holds basic steps for adding a new Application Server within Eclipse IDE.
Once you have added a new application server, you can deploy your application in it then launch it and you should have your applcation reachable at http://localhost:8080/SpringMVCAngularJS
.
A good alternative when using Maven as a build tool, is using an embedded AS plugin such as Tomcat7 Plugin or Jetty Plugin. This plugin will provide the ability to start your applcation using the Maven different goals (which does not require adding a new AS into Eclipse IDE).
I've pushed a sample module based on the tutorial you mentioned. YOu can test the above described plugin as follows in a *nix shell (You may need to setup git
if not already done):
git clone https://github.com/tmarwen/stackoverflow-showcase.git
cd stackoverflow-showcase/springmvc-angularjs
mvn tomcat7:run