https://material-ui.com/demos/app-bar/

npm i --save @material-ui/icons at /management/clinet

App.js

//...

import AppBar from '@material-ui/core/AppBar';
import Toolbar from '@material-ui/core/Toolbar';
import IconButton from '@material-ui/core/IconButton';
import Typography from '@material-ui/core/Typography';
import InputBase from '@material-ui/core/InputBase';
import { fade } from '@material-ui/core/styles/colorManipulator';
import MenuIcon from '@material-ui/icons/Menu';
import SearchIcon from '@material-ui/icons/Search';

const styles = theme =>({
  root: {
    width: '100%',
    minWidth: 1080
  },
  menu: {
    marginTop: 15,
    marginBottom: 15,
    display: 'flex',
    justifyContent: 'center'
  },
  paper: {
    marginLeft: 18,
    marginRight: 18
  },
  progress: {
    margin: theme.spacing.unit * 2
  },
  grow: {
    flexGrow: 1,
  },
  tableHead: {
    fontSize: '1.0rem'
  },
  menuButton: {
    marginLeft: -12,
    marginRight: 20,
  },
  title: {
    display: 'none',
    [theme.breakpoints.up('sm')]: {
      display: 'block',
    },
  },
  search: {
    position: 'relative',
    borderRadius: theme.shape.borderRadius,
    backgroundColor: fade(theme.palette.common.white, 0.15),
    '&:hover': {
      backgroundColor: fade(theme.palette.common.white, 0.25),
    },
    marginLeft: 0,
    width: '100%',
    [theme.breakpoints.up('sm')]: {
      marginLeft: theme.spacing.unit,
      width: 'auto',
    },
  },
  searchIcon: {
    width: theme.spacing.unit * 9,
    height: '100%',
    position: 'absolute',
    pointerEvents: 'none',
    display: 'flex',
    alignItems: 'center',
    justifyContent: 'center',
  },
  inputRoot: {
    color: 'inherit',
    width: '100%',
  },
  inputInput: {
    paddingTop: theme.spacing.unit,
    paddingRight: theme.spacing.unit,
    paddingBottom: theme.spacing.unit,
    paddingLeft: theme.spacing.unit * 10,
    transition: theme.transitions.create('width'),
    width: '100%',
    [theme.breakpoints.up('sm')]: {
      width: 120,
      '&:focus': {
        width: 200,
      },
    },
  },
})

//...

 class App extends Component {
  
  constructor(props){
    super(props);
    this.state={
      customers: "",
      completed: 0,
      searchKeyword: ''
    }
  }

  stateRefresh = () => {
    this.setState({
      customers: "",
      completed: 0,
      searchKeyword: ''
    });
    this.callApi()
    .then(res => this.setState({customers: res}))
    .catch(err => console.log(err));
  }

  // ...

  handleValueChange = (e) => {
    let nextState = {};
    nextState[e.target.name] = e.target.value;
    this.setState(nextState);
  }

  render() {
    const filteredComponents = (data) => {
      data = data.filter((c) => {
        return c.name.indexOf(this.state.searchKeyword) > -1;
      });
      return data.map((c) => {
        return <Customer stateRefresh={this.stateRefresh} key={c.id} id={c.id} image={c.image} name={c.name} birthday={c.birthday} sex={c.sex} job={c.job}></Customer>
      });
    }
    const { classes } = this.props;
    const cellList = ["ID", "Image", "Name", "Birthday", "Sex", "Job", "Setting"];
    return (
      <div className={classes.root}>
      <AppBar position="static">
        <Toolbar>
          <IconButton className={classes.menuButton} color="inherit" aria-label="Open drawer">
            <MenuIcon />
          </IconButton>
          <Typography className={classes.title} variant="h6" color="inherit" noWrap>
            Clinet Management System
          </Typography>
          <div className={classes.grow} />
          <div className={classes.search}>
            <div className={classes.searchIcon}>
              <SearchIcon />
            </div>
            <InputBase
              placeholder="Search…"
              classes=
              name ="searchKeyword"
              value={this.state.searchKeyword}
              onChange={this.handleValueChange}
            />
          </div>
        </Toolbar>
      </AppBar>
      <div className={classes.menu}>
        <CustomerAdd stateRefresh={this.stateRefresh}></CustomerAdd>
      </div>
      <Paper className={classes.paper}>
        <Table className={classes.table}>
          <TableHead>
            <TableRow>
              {cellList.map(c => {
                return <TableCell key={c} className={classes.tableHead}>{c}</TableCell>
              })}
            </TableRow>
          </TableHead>
          <TableBody>
            {this.state.customers ? 
              filteredComponents(this.state.customers) : 
              <TableRow>
                <TableCell colSpan = '6' align='center'>
                  <CircularProgress className = {classes.progress} varient="determinate" value = {this.state.completed}></CircularProgress>
                </TableCell>
              </TableRow>
            }
          </TableBody>
        </Table>
      </Paper>
     
      </div>
    );
  }
}

// ...

Error1

https://material-ui.com/style/typography/#migration-to-typography-v2

To make an immediate switch to typography v2 you can simply pass useNextVariants: true when calling createMuiTheme:

const theme = createMuiTheme({
  typography: {
    useNextVariants: true,
  },
});

Error2

https://reactjs.org/docs/lists-and-keys.html#keys

key alwyas needed in mapping

const cellList = ["ID", "Image", "Name", "Birthday", "Sex", "Job", "Setting"];
<TableRow>
    {cellList.map(c => {
        return <TableCell key={c} className={classes.tableHead}>{c}</TableCell>
    })}
</TableRow>