Analysis: An Introduction by Richard Beals

By Richard Beals

This self-contained textual content, appropriate for complex undergraduates, offers an intensive advent to mathematical research, from the basics to extra complicated fabric. It starts off with the homes of the genuine numbers and keeps with a rigorous therapy of sequences, sequence, metric areas, and calculus in a single variable. additional matters contain Lebesgue degree and integration at the line, Fourier research, and differential equations. as well as this center fabric, the booklet encompasses a variety of fascinating purposes of the subject material to parts either inside and out of doors the sector of arithmetic. the purpose all through is to strike a stability among being too austere or too sketchy, and being so unique as to imprecise the basic principles. numerous examples and 500 routines permit the reader to check knowing, preparation mathematical exposition and supply a window into extra topics.

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