By W. J. Kaczor, M. T. Nowak

We study via doing. We examine arithmetic by means of doing difficulties. This ebook is the 1st quantity of a sequence of books of difficulties in mathematical research. it truly is typically meant for college students learning the fundamental rules of study. besides the fact that, given its association, point, and choice of difficulties, it should even be a terrific selection for academic or problem-solving seminars, rather these aimed toward the Putnam examination. the quantity is additionally appropriate for self-study.

Each portion of the publication starts off with rather uncomplicated workouts, but can also include fairly hard difficulties. quite often numerous consecutive workouts are considering diverse features of 1 mathematical challenge or theorem. This presentation of fabric is designed to aid scholar comprehension and to motivate them to invite their very own questions and to begin examine. the gathering of difficulties within the ebook can also be meant to aid academics who desire to contain the issues into lectures. suggestions for all of the difficulties are supplied.

The booklet covers 3 issues: genuine numbers, sequences, and sequence, and is split into components: workouts and/or difficulties, and ideas. particular issues lined during this quantity comprise the next: uncomplicated houses of genuine numbers, endured fractions, monotonic sequences, limits of sequences, Stolz's theorem, summation of sequence, exams for convergence, double sequence, association of sequence, Cauchy product, and limitless items.