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As reviews of our book are written we link them here.
They will all be laudatory and correctly describe the book as an indispensable text and reference!
But even if not we have learned a lot writing this book.
All together, the present book gives a beautiful panoramic view of the “neverending story of neverending fractions” by making apparent their naturalness, their ubiquity, and their wide-range of applications in very lucid and inspiring a manner.
The book covers a diverse range of topics, including elementary and metric properties of continued fractions, quadratic irrationals and more exotic topics such as folded continued fractions and Somos sequences. In addition, it provides various applications of the theory to seemingly unrelated problems in number theory, such as irrationality proofs, generating series, combinatorics on words and Diophantine equations.
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