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Analysis : An Introduction

By: Richard Beals (Author)

Ksh 17,280.00
Format :

Format(s): DRM PDF

ISBN-13: 9780511227745

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: November 6th, 2006

Country of Publication: GB

Language: English

Physical Edition EAN: 9780521600477

Category: Calculus & mathematical analysis , Real analysis, real variables , Complex analysis, complex variables , Functional analysis & transforms

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  • Description

  • Author Bio

This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

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