Lectures on Real Analysis: 21 (Australian Mathematical Society Lecture Series, Series Number 21) - Hardcover

Lįrusson, Finnur

Hardcover

ISBN 10: 1107026784 ISBN 13: 9781107026780

Publisher: Cambridge University Press, 2012

Synopsis

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.

About this title

About the Author

Finnur Lįrusson 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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2012
• Language: English
• ISBN 10: 1107026784
• ISBN 13: 9781107026780
• Binding: Hardcover
• Number of pages: 128