Most books written on evolution equations tend to either provide a thorough treatment of a particular class of equations in tremendous depth for a beginner or focus on presenting an assimilation of materials devoted to a very particular timely research direction. This volume provides an engaging, accessible account of a rudimentary core of theoretical results that should be understood by anyone studying evolution equations in a way that gradually builds the reader's intuition and which culminates in a discussion of an area of active research. The author's conversational style sets the stage for the next step of theoretical development, allowing readers to see the big picture of a theoretical development.