By Richard Beals

This self-contained textual content, appropriate for complicated undergraduates, presents an in depth 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. extra matters comprise Lebesgue degree and integration at the line, Fourier research, and differential equations. as well as this center fabric, the e-book features a variety of fascinating purposes of the subject material to parts either inside and out of doors 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. a great number of examples and 500 routines enable the reader to check knowing, training mathematical exposition and supply a window into additional topics.

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Analysis: An Introduction by Richard Beals

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