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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