SHORTLISTED FOR THE WODEHOUSE COMIC FICTION PRIZE 2017 An utterly mad, entirely heart-warming Highland adventure from the Man Booker-longlisted author of And the Land lay Still Douglas is fifty years old - he's just lost his job, been kicked out by his girlfriend and moved back into his dad's house. Just when things are starting to look hopeless, he makes a very unexpected new friend: a talking toad. Mungo is a wise-cracking, straight-talking, no-nonsense kind of toad - and he is determined to get Douglas's life back on track. Together, man and beast undertake a madcap quest to the distant Highlands, hot on the trail of a hundred-year-old granny, a beautiful Greek nymph, a split-personality alcoholic/teetotaller, a reluctant whisky-smuggler, and the elusive glimmer of redemption . . .

Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions, and the measure theory of continued fractions. 1964 edition. Prefaces.

For use in schools and libraries only. After the frog turns into a prince, he and the Princess do not live happily ever after and the Prince decides to look for a witch to help him remedy the situation.

The book is essentially based on recent work of the authors. In order to unify and generalize the results obtained so far, new concepts have been introduced, e.g., an infinite order chain representation of the continued fraction expansion of irrationals, the conditional measures associated with, and the extended random variables corresponding to that representation. Also, such procedures as singularization and insertion allow to obtain most of the continued fraction expansions related to the regular continued fraction expansion. The authors present and prove with full details for the first time in book form, the most recent developments in solving the celebrated 1812 Gauss' problem which originated the metrical theory of continued fractions. At the same time, they study exhaustively the Perron-Frobenius operator, which is of basic importance in this theory, on various Banach spaces including that of functions of bounded variation on the unit interval. The book is of interest to research workers and advanced Ph.D. students in probability theory, stochastic processes and number theory.