Lectures on Real Analysis

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Lectures on Real Analysis

By Finnur Lárusson

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This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.

Subject: Mathematics & Statistics -> Mathematics -> Mathematics General

Lectures on Real Analysis
1st edition
Publisher: Cambridge University Press 6/7/12
Imprint: Cambridge University Press
Language: English

ISBN 10: 1139506358
ISBN 13: 9781139506359
Print ISBN: 9781107026780

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