Oscillations, written as a reference book for engineers and physicists, this book explores the relation between dynamic atomic force microscopy (AFM) and oscillation theory. Currently, available books on oscillation theory are only partially suitable to study atomic force microscopy. For this reason, our book, a first of its kind, provides the general and foundational concepts of oscillations with a focus on AFM and implementations. Oscillations are present in almost every field of physics and engineering and can be found in a plethora of fields from economics to biology. The theory of oscillations is also fundamental in the field of AFM - imaging at the nanoscale level. There have been many novel developments in AFM contributing to areas in metrology, rheology, mechanics of cells and biomedicine and this book serves as a good general introduction to understand the mechanics of the instrument.

Key Features:

• It covers linear and nonlinear theory of oscillations based on the spring-mass model.

• It presents applications of linear and nonlinear oscillation theory in atomic force microscopy with continuous references to the literature.

• The book is divided into two parts: Part 1 provides an in-depth overview of the differential equations and the linear theory of oscillations. Part 2, with somewhat more complex mathematics, discusses nonlinearities and advances in AFM.