By W. J. Kaczor
We examine via doing. We examine arithmetic by means of doing difficulties. This publication is the 1st quantity of a chain of books of difficulties in mathematical research. it truly is frequently meant for college students learning the elemental ideas of study. although, given its association, point, and choice of difficulties, it should even be a great selection for educational or problem-solving seminars, relatively these aimed at the Putnam examination. the quantity is additionally compatible for self-study.
Each part of the e-book starts off with quite easy routines, but can also include really demanding difficulties. quite often numerous consecutive workouts are curious about assorted points of 1 mathematical challenge or theorem. This presentation of fabric is designed to assist pupil comprehension and to motivate them to invite their very own questions and to begin examine. the gathering of difficulties within the e-book is additionally meant to assist lecturers who desire to contain the issues into lectures. suggestions for the entire difficulties are supplied.
The booklet covers 3 subject matters: actual numbers, sequences, and sequence, and is split into components: routines and/or difficulties, and strategies. particular subject matters 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, checks for convergence, double sequence, association of sequence, Cauchy product, and endless items.
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