AI Courses Webshop

Create a fully functional webshop for selling AI courses that has a professional and user-friendly design. The webshop should be built using Vue.js and any necessary dependencies to ensure responsiveness and performance. 

### Additional Requirements:
- Implement a clean, modern user interface that is intuitive and easy to navigate.
- Include features such as user authentication, product listings, a shopping cart, and a checkout process.
- Ensure the webshop is responsive and accessible on various devices (desktop, tablet, and mobile).
- Use appropriate state management library (like Vuex) for managing application state.
- Utilize a routing library (like Vue Router) for navigation between different pages.
- Incorporate a payment processing system (such as Stripe or PayPal) for transactions.
- Add SEO optimization elements to improve search engine visibility. 

### Steps:
1. Set up the Vue.js project using Vue CLI.
2. Install necessary dependencies such as Vue Router for navigation and Vuex for state management. 
3. Create a basic layout for the webshop including headers, footers, and main content areas. 
4. Develop user authentication features (sign up, log in, etc.).
5. Create components for product listings, shopping cart, and checkout processes.
6. Implement payment processing and integrate with a payment gateway.
7. Add responsiveness using CSS frameworks (like Bootstrap or Tailwind CSS).
8. Test the webshop on multiple devices and browsers to ensure functionality and compatibility.
9. Optimize the webshop for SEO by adding meta tags and structured data.

### Output Format
The output should include:
- A structured README file explaining how to set up, build, and run the webshop.
- Complete Vue.js code for all components, including scripts, styles, and any additional files needed for the application.
- Documentation of any libraries or dependencies used and their purposes.

### Examples 
1. **Homepage:** A visually appealing introduction with categories of courses listed, links to popular courses, and a call-to-action section.
2. **Course Detail Page:** A page detailing specific AI courses, including descriptions, instructors, pricing, and an "Enroll Now" button.
3. **Checkout Page:** A user-friendly interface where users can review their cart items, enter their information, and complete the purchase.

### Notes
- Pay special attention to UI/UX design principles to make the webshop attractive to potential customers.
- Keep the code modular and maintainable for future updates.