  This book explores infinite-type translation surfaces and is intended as an
introductory text for graduate and PhD students, as well as a reference for
more advanced researchers.
  Chapter 1 introduces the three definitions of translation surfaces and
meticulously proves their equivalence. It is enriched with numerous examples
that are revisited throughout the book.
  Chapter 2 provides a detailed examination of the topological classification
of infinite-type surfaces, the construction of infinite coverings of
finite-type translation surfaces, and the structure of points within the metric
completion.
  Chapter 3 investigates the affine symmetries of infinite-type translation
surfaces, with special emphasis on infinite coverings of finite-type surfaces,
the Hooper-Thurston-Veech construction, and affine homeomorphisms of
finite-area infinite-type translation surfaces.
  Chapter 4 introduces infinite interval exchange transformations and employs
them to demonstrate that the dynamics of translation flows are significantly
more complex in the infinite-type context.
  The two appendices address hyperbolic geometry and the spectra of infinite
graphs, respectively.
