Lectures on Real Analysis

Informationen zum Autor 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. Klappentext A rigorous introduction to real analysis for undergraduates. Concise yet comprehensive, it includes a gentle introduction to metric spaces. Zusammenfassung Arising from a real analysis course given by the author! this textbook is an ideal rigorous undergraduate treatment of the subject. The exposition is concise and to the point! yet all of the standard topics are covered! as well as topics that longer textbooks often omit. Over 200 exercises are included. Inhaltsverzeichnis 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.

Product details

• Authors: Finnur Larusson, Finnur (University of Adelaide) Larusson, Finnur Lárusson
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 07.06.2012
• EAN: 9781107026780
• ISBN: 978-1-107-02678-0
• No. of pages: 128
• Series: Australian Mathematical Society Lecture Series; Australian Mathematical Societ; Australian Mathematical Society Lecture Series
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis