Andrey O. Matveev, Ekaterinburg, Russian Federation.
"In the words of the author, this book "is intended as a detailed
exposition of the basic properties of Farey (sub)sequences, and as
a handbook of formulas". As such, the reader should not expect a
traditional textbook, but rather an exhaustive reference work,
concentrating on a short list of related properties, which are
studied in detail for each of the sequences under consideration.
Proofs of the main results are provided. These, due to the nature
of the subject, only require a basic familiarity with elementary
number theory, but the devil is in the details, and those studying
the subject and wanting to verify a particular formula will need to
carefully review the numerous cases for themselves. [...]All in
all, this book should provide a useful reference for anyone working
with Farey fractions and, in particular, wanting quick access to
extensive lists and tables of explicit formulas [...]"
Luis Manuel Navas Vicente in: Mathematical Reviews Clippings
MR3752136 (2018) "This book discusses in meticulous detail the
structure and properties of the standard Farey sequence and
subsequences. They have a rich structure with combinatorial and
number-theoretic properties."
Balasubramanian Sury in: Zentralblatt MATH 1396.11002 (2018)
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