Programmatically Navigate w/ HashRouter

I was originally using hashHistory from react-router and programmatically navigating my React app using this.props.history.push(). But with the move to using HashRouter from the react-router-dom package, this.props.history.push() now throws a Cannot read property 'push' of undefined error.

How do I programmatically navigate using HashRouter now?

ReactDOM.render(
  <Provider store={store}>
    <MuiThemeProvider>
      <HashRouter>
        <div>
          <Route exact path="/" component={App} />
          <Route path="/landing" component={Landing} />
        </div>
      </HashRouter>
    </MuiThemeProvider>
  </Provider>,
document.getElementById('root'));

Render func of App.js

render() {
  return (
    <div className="App">
      ...
      <div>
        <Collapse isOpened={this.state.activeForm === 1}>
          <SignUpForm />
        </Collapse>
        <Collapse isOpened={this.state.activeForm === 2}>
          <SignInForm />
        </Collapse>
      ...
    </div>
  );
}

Function in SignUpForm.js that's calling .push()

handleSubmit(e) {
  ...
  this.props.history.push('/landing');
  ...
}