  This book is concerned with analytic approaches of studying groups and their
actions. Much attention is devoted to the study of amenability and Kazhdan's
property (T), which are perhaps the most important analytic properties of a
group, but we also discuss other analytic notions. We tried to introduce
tricks, ideas and lemmas that repeatedly turn out to be useful in various
situations. Our main guideline was to expose the beauty of the theory and to
present many different aspects of it while keeping the text short, simple and
accessible, sometimes at the expense of diving deep or providing thorough
expositions. Hopefully this book could serve as a smooth entry to Analytic
Group Theory.
