Analysis: An Introduction by Richard Beals

By Richard Beals

This self-contained textual content, compatible for complicated undergraduates, presents an intensive creation to mathematical research, from the basics to extra complex fabric. It starts with the houses of the true numbers and maintains with a rigorous remedy of sequences, sequence, metric areas, and calculus in a single variable. additional topics comprise Lebesgue degree and integration at the line, Fourier research, and differential equations. as well as this center fabric, the e-book contains a variety of attention-grabbing purposes of the subject material to parts either inside of 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 targeted as to imprecise the basic rules. plenty of examples and 500 workouts enable the reader to check knowing, guidance mathematical exposition and supply a window into extra topics.

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