Exploring the Number Jungle: A Journey into Diophantine Analysis (Student Mathematical Library, V. 8)
"A wealth of information ... designed as a textbook at the undergraduate level, with lots of exercises. The choice of material is very nice: Diophantine approximation is the unifying theme, but the tour has side trips to elliptic curves, Riemann surfaces, and $p$-adic analysis. The writing style is relaxed and pleasant ... For this trip, the guide has chosen an ascent to an accessible summit, but with the emphasis always on teaching and motivating important techniques so that the beginner can advance to a higher level." ---- MAA Monthly"The author invites the reader right from the beginning, through his engaging and motivating style, to develop ideas actively and to find proofs for himself ... Remarks at the end of each of the 20 short sections, into which this readily readable introduction to diophantine analysis is divided, extend the material and stimulate the reader to deeper study and involvement with it." ---- Zentralblatt MATH"This short book presents a nice enjoyable introduction to Diophantine analysis, which invites the motivated reader to rediscover by himself or herself many of the fundamental results of the subject, with hints given in an appendix for the more difficult results." ---- Mathematical Reviews