## MTH 4410 – Real Analysis I

**Dr. Linda Sundbye**

**Metropolitan State University of Denver**

**Department of Mathematics and Statistics**

Last updated: *August 15, 2024
*

“I turn away with fright and horror from the lamentable evil of functions which do not have derivatives.”** Charles Hermite** in a letter to **Thomas Jan Stieltjes**.

“Nature laughs at the difficulties of integration.” **Pierre Simon Laplace** (1749-1827)

“Where is it proved that one obtains the derivative of an infinite series by taking the derivative of each term?” **Niels Henrik Abel** (1802-1829)

A challenge for many long ages

Had baffled the savants and sages

Yet at last came to light:

Seems old Fermat was right –

To the margin add 200 pages

## Text Info:

**Text: ** Bartle and Sherbert,* Introduction to Real Analysis, 4th ed.* Wiley (2011),

ISBN: 978-0-471-43331-6