This book discusses how the tiniest building blocks structures thousands of times thinner than a human hair behave when used in the most advanced technology, such as computer chips, medical robots, and high-precision sensors. At such small sizes, the laws of physics change, so scientists need new methods to predict how these parts will move, bend, and vibrate. The authors explain, in accessible language, how researchers study, analyze, and design these nano-scale parts to make future technologies more powerful and reliable. This book addresses the urgent need for knowledge in the expanding field of nanotechnology, which is shaping everything from healthcare to electronics. In addition, the book blends essential theory and innovative application, guiding engineers and researchers through the latest advances in nonlocal elasticity, vibration modeling, and computational techniques necessary for the design of next-generation NEMS and MEMS. Practical, clear, and up-to-date, this book is an indispensable reference for anyone working at the intersection of engineering, physics, and nanotechnology.