Memristors are a new class of circuit element with the ability to change their resistance value while retaining memory of their current and past resistances. Their small form factor, high density, and fast switching times have sparked research into their applications in modern memory hierarchies. However, these new components pose system design challenges, as well as opportunities.

• Chapter 1: Introduction
• Chapter 2: Memristor logic gates
• Chapter 3: Adder arithmetic units
• Chapter 4: Multiplier arithmetic units
• Chapter 5: Divider arithmetic units
• Chapter 6: Memristor-based adder designs
• Chapter 7: Memristor-based multiplier designs
• Chapter 8: Memristor-based divider designs
• Chapter 9: Proposed future work
• Chapter 10: Conclusion