Lectures on Real Analysis

AvFinnur Lárusson

Häftad, Engelska, 2012

Del 21 i serien Australian Mathematical Society Lecture Series

919 kr

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2 342 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-06-07
Mått:152 x 227 x 7 mm
Vikt:190 g
Format:Häftad
Språk:Engelska
Serie:Australian Mathematical Society Lecture Series
Antal sidor:128
Förlag:Cambridge University Press
ISBN:9781107608528

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Finnur Lárusson has lectured in pure mathematics at all levels, from first-year calculus to postgraduate courses, at universities in Australia, Canada and the United States. He is currently Associate Professor in the School of Mathematics at the University of Adelaide.

Innehållsförteckning

Preface; To the student; 1. Numbers, sets, and functions; 2. The real numbers; 3. Sequences; 4. Open, closed, and compact sets; 5. Continuity; 6. Differentiation; 7. Integration; 8. Sequences and series of functions; 9. Metric spaces; 10. The contraction principle; Index.

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