Download PDF by Richard Beals: Analysis: An Introduction

By Richard Beals

This self-contained textual content, compatible for complicated undergraduates, presents an in depth creation to mathematical research, from the basics to extra complicated fabric. It starts with the houses of the genuine numbers and maintains with a rigorous remedy 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 center fabric, the ebook 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 special as to imprecise the basic principles. a number of examples and 500 workouts permit the reader to check realizing, preparation mathematical exposition and supply a window into additional topics.

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Analysis: An Introduction by Richard Beals

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