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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.

Any organization can explain "what" it does; some can explain "how" they do it; but very few can clearly articulate "why." WHY is not money or profit-- those are always results. WHY does your organization exist? WHY does it do the things it does? WHY do customers really buy from one company or another? WHY are people loyal to some leaders, but not others? HELL HATH NO FURY . . . Hungry Hyena steals Fish Eagle's dinner and sets off a chain of events which leads to the hyenas reaching for the moon ...with disastrous results. This is the story of how Hungry Hyena came to slink about on the great African plain and how Fish Eagle soars Lectures on Real Analysis pdf in the clouds. Finally! After months of begging their parents for ballet lessons, Ivy and Bean finally get what they wanted...well, not exactly. It turns out ballet lessons are actually about learning how to dance gracefully. If only the girls hadn't promised their parents to finish the entire ballet course!

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Author: Finnur Larusson
Number of Pages: 128 pages
Published Date: 23 Jul 2012
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9781107608528
Download Link: Click Here
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