Chapter 1. What's in a name? The beautiful, the bad, and the ugly In this introductory chapter we will provide the motivation for this book -- Chapter 2. Memory of physical systems In this chapter we will provide a physical definition of memory (time non-locality) and argue that any physical system subject to an external perturbation showcases some degree of memory, whether the latter is easy or not to detect -- Chapter 3. Mathematical definition of memory elements, ideal or not In this chapter we will provide the general definition of memory elements, such as memristors, memcapacitors, meminductors, etc -- Chapter 4. Restoring sanity: the memristor test -- Chapter 5. From now on In this concluding chapter we will summarize our thoughts on the field, and where it could go from here

This book, written by two pioneers in the field, provides a clear and concise description of memristors and other memory elements. It stresses the difference between their mathematical definition and physical reality. The reader will then be able to distinguish between what is experimentally realizable and various fictitious claims that plague the scientific literature. The discussion is kept simple enough that the book should be easily accessible not only to graduate students and researchers in Physics and Engineering, but also to undergraduate students interested in this topic