There is no need for a lengthy summary of the material in this book; a look at the table of contents should give a first idea of what it is about; details are provided in the introductions to (or the table of contents of) the individual chapters. It seems preferable to explain the perspective of the book, and its aims. This book is not a treatise; its ambitions are mainly pedagogical: to introduce, and ideally to attract, students and, possibly, mathematicians engaged in adjacent areas of research, to the theory of partial differential equations (PDEs) with analytic coefficients developed in the second half of the XXth century (or earlier). Important areas of the theory have been insufficiently studied, or hardly explored at all (see below).
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