You can use $.proxy() to create a cross platform solution
APP.core.View = function () {
$.ajax({
url: 'test.html'
}).done($.proxy(this.build, this));
return this;
};
For modern browsers, you can use .bind()
APP.core.View = function () {
$.ajax({
url: 'test.html'
}).done(this.build.bind(this));
return this;
};