Lectures on Real Analysis is popular PDF and ePub book, written by Finnur Lárusson in 2012-06-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on Real Analysis can be Read Online from any device for your convenience.
Lectures on Real Analysis Book PDF Summary
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.
Detail Book of Lectures on Real Analysis PDF
- Author : Finnur Lárusson
- Release : 07 June 2012
- Publisher : Cambridge University Press
- ISBN : 9781139511049
- Genre : Mathematics
- Total Page : 128 pages
- Language : English
- PDF File Size : 7,7 Mb
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