Can't resolve dns and child_process when using Nodemailer and Webpack

I'm trying to send a simple email using nodemailer, but am getting the following issues. It seems like the issue is with webpack. I've included the error and the code in question. Thanks!

Console log:

ERROR in ./~/nodemailer/lib/mailer/index.js
Module not found: Error: Can't resolve 'dns' in 
'/Users//Users/user/Projects/world-domination/project-folder/node_modules/nodemailer/lib/mailer'
@ ./~/nodemailer/lib/mailer/index.js 14:12-26
@ ./~/nodemailer/lib/nodemailer.js
@ ./src/app/components/contact/contact.component.ts
@ ./src/app/app.module.ts
@ ./src/main.ts
@ multi webpack-dev-server/client?http://localhost:4200 ./src/main.ts

ERROR in ./~/nodemailer/lib/sendmail-transport/index.js
Module not found: Error: Can't resolve 'child_process' in 
'/Users/user/Projects/world-domination/project-folder/node_modules/nodemailer/lib/sendmail-transport'
@ ./~/nodemailer/lib/sendmail-transport/index.js 3:14-38
@ ./~/nodemailer/lib/nodemailer.js
@ ./src/app/components/contact/contact.component.ts
@ ./src/app/app.module.ts
@ ./src/main.ts
@ multi webpack-dev-server/client?http://localhost:4200 ./src/main.ts

Code in question:

import { Component, OnInit } from '@angular/core';
import * as nodemailer from 'nodemailer';

@Component({
  selector: 'app-contact',
  templateUrl: './contact.component.html',
  styleUrls: ['./contact.component.scss']
})
export class ContactComponent implements OnInit {
    public sendMessage(): void {
        let transporter = nodemailer.createTransport({
          host: 'smtp.example.com',
          port: 465,
          secure: true,
          auth: {
            user: 'sampleAddress@gmail.com',
            pass: 'samplePassword'
         }
    });

    let mailOptions = {
        from: '"Mr. Sender" <sampleAddress@gmail.com>',
        to: 'sampleRecipient@gmail.com',
        subject: 'Test email subject',
        text: 'Test email body'
    };

    transporter.sendMail(mailOptions, (error, info) => {
      if (error) {
        return console.log(error);
      }
      console.log('Message %s sent: %s', info.messageId, info.response);
    })
  }
}