Memristor is a fourth basic circuit element after resistor, capacitor and inductor. Memristor is a very interesting device that has the power to store charge being a passive device. Recently, various researchers has proposed different type of memristor models. This book covers and review the commonly used memristor models and also covers the design and analysis of memristor. Further, logic circuit designing using memristor is explained in depth. Memristor are nano devices that can be used in VLSI architectures which leads to compact high speed circuits. Use of memristor in logic circuits is one of the highest possibility to continue the Moore's law further. This book is suitable for Graduate students/Research scholars who want to explore this new nano device further and to know more about the working and implementation of memristor/memristive systems in VLSI circuits. The author has explained the concepts in a very concise manner with segregation of content in chapters that starts from introduction about Memristor and till complete analysis of Memristor based logic circuits.