Analysis: An Introduction by Richard Beals

By Richard Beals

This self-contained textual content, compatible for complicated undergraduates, presents an in depth advent to mathematical research, from the basics to extra complex fabric. It starts with the homes of the true numbers and keeps with a rigorous remedy of sequences, sequence, metric areas, and calculus in a single variable. extra matters contain Lebesgue degree and integration at the line, Fourier research, and differential equations. as well as this center fabric, the e-book encompasses a variety of attention-grabbing purposes of the subject material to components 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 fundamental principles. lots of examples and 500 routines enable the reader to check realizing, education mathematical exposition and supply a window into extra topics.

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