Lectures on Real Analysis (Paperback)

Finnur Larusson

ISBN 10: 110760852X / ISBN 13: 9781107608528

Published by Cambridge University Press, Cambridge, 2012

About this Item

Paperback. 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781107608528

Bibliographic Details

• Title: Lectures on Real Analysis (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2012
• Language: English
• ISBN 10: 110760852X
• ISBN 13: 9781107608528
• Binding: Paperback
• Condition: new

About this title

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 the Author

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.