This chapter introduces the book "Percolation Theory for Mathematicians" by Harry Kesten, edited by P. Huber and M. Rosenblatt as part of the "Progress in Probability and Statistics" series. The book aims to provide rigorous proofs for basic results in percolation theory, a field that originated from applied problems but has evolved into a source of fascinating mathematical challenges. Despite the rapid growth of literature and extensions of the basic model, the field has seen slow progress in establishing rigorous results. The author emphasizes that the book is primarily a research monograph but requires only a standard graduate course in probability as prerequisites. The content covers various aspects of percolation, including periodic graphs, crossing probabilities, critical probabilities, and the nature of singularities. The book also includes applications, examples, and unsolved problems, making it a valuable resource for both researchers and graduate students in probability and statistics.This chapter introduces the book "Percolation Theory for Mathematicians" by Harry Kesten, edited by P. Huber and M. Rosenblatt as part of the "Progress in Probability and Statistics" series. The book aims to provide rigorous proofs for basic results in percolation theory, a field that originated from applied problems but has evolved into a source of fascinating mathematical challenges. Despite the rapid growth of literature and extensions of the basic model, the field has seen slow progress in establishing rigorous results. The author emphasizes that the book is primarily a research monograph but requires only a standard graduate course in probability as prerequisites. The content covers various aspects of percolation, including periodic graphs, crossing probabilities, critical probabilities, and the nature of singularities. The book also includes applications, examples, and unsolved problems, making it a valuable resource for both researchers and graduate students in probability and statistics.