Read e-book online Analysis: An Introduction PDF

By Richard Beals

This self-contained textual content, compatible for complex undergraduates, offers an intensive advent to mathematical research, from the basics to extra complex fabric. It starts 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 topics contain Lebesgue degree and integration at the line, Fourier research, and differential equations. as well as this middle fabric, the booklet features a variety of attention-grabbing purposes of the subject material to components either inside and outdoors the sphere of arithmetic. the purpose all through is to strike a stability among being too austere or too sketchy, and being so distinct as to imprecise the fundamental principles. plenty of examples and 500 workouts let the reader to check knowing, training mathematical exposition and supply a window into extra topics.

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Analysis: An Introduction by Richard Beals

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