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TinyTorch/book/chapters/02-tensor.md
Vijay Janapa Reddi 8afe207ce5 Renumber modules from 00-13 to 01-14 for natural numbering
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Benefits:
- More intuitive course progression starting from 1
- Matches academic course numbering conventions
- Eliminates confusion about 'Module 0' concept
- Cleaner mental model for students and instructors
- All references and links properly updated

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Tensor - Core Data Structure

Welcome to the Tensor module! This is where TinyTorch really begins. You'll implement the fundamental data structure that powers all ML systems.

:class: tip
- Understand tensors as N-dimensional arrays with ML-specific operations
- Implement a complete Tensor class with arithmetic operations
- Handle shape management, data types, and memory layout
- Build the foundation for neural networks and automatic differentiation
- Master the NBGrader workflow with comprehensive testing

Build → Use → Understand

  1. Build: Create the Tensor class with core operations
  2. Use: Perform tensor arithmetic and transformations
  3. Understand: How tensors form the foundation of ML systems

🚀 Interactive Learning

Choose your preferred way to engage with this module:


```{grid-item-card} 🚀 Launch Binder
:link: https://mybinder.org/v2/gh/mlsysbook/TinyTorch/main?filepath=modules/source/02_tensor/tensor_dev.ipynb
:class-header: bg-light

Run this module interactively in your browser. No installation required!
```

```{grid-item-card} ⚡ Open in Colab  
:link: https://colab.research.google.com/github/mlsysbook/TinyTorch/blob/main/modules/source/02_tensor/tensor_dev.ipynb
:class-header: bg-light

Use Google Colab for GPU access and cloud compute power.
```

```{grid-item-card} 📖 View Source
:link: https://github.com/mlsysbook/TinyTorch/blob/main/modules/source/02_tensor/tensor_dev.py
:class-header: bg-light

Browse the Python source code and understand the implementation.
```

:class: tip
**Binder sessions are temporary!** Download your completed notebook when done, or switch to local development for persistent work.

Ready for serious development? → [🏗️ Local Setup Guide](../usage-paths/serious-development.md)