The book "Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave" provides an accessible introduction to the mathematical control theory of applied partial differential equations. It is aimed at students of applied mathematics who have a basic understanding of linear algebra as well as ordinary and partial differential equations. The author, Weijiu Liu, aims to illustrate complex concepts of control theory through concrete examples while minimizing the use of functional analytical methods. The content is presented in a way that makes it understandable even without in-depth knowledge of functional analysis. The book includes fundamental elements of functional analysis and offers an introduction to feedback control of systems, which is essential for understanding the control theory of partial differential equations. With 296 pages, it is a comprehensive work suitable for both undergraduate students and first-year master's students.