A Short Introduction to Perturbation Theory for Linear Operators

Focusing on perturbation theory, this book presents an accessible exploration of key concepts without delving into the complexities of infinite-dimensional spaces. It compiles the first two chapters of an earlier work, aiming to reach a broader audience. The content emphasizes essential results in finite-dimensional spaces while acknowledging the unique aspects of infinite dimensions. Additionally, it serves as an introduction to linear algebra, utilizing complex functions and resolvent theory to appeal to students of analysis and applied mathematics.