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**Real Analysis and Applications: including Fourier Series and the Calculations of Variations **

Frank Morgan

Publication Year: 2005

ISBN**: ** 0-8218-3841-5

This page is maintained by the author.

*Contact information:*

- Frank Morgan
- Department of Mathematics & Statistics
- Williams College
- Williamstown, MA 01267
- frank.morgan@williams.edu

Instructors, for some solutions not in the back of the text, email the author, with a link to a departmental webpage with your name on it.

For extra basic exercises, Karl-Dieter Crisman of Gordon College suggests Schaum's Outlines "Advanced Calculus."

**ERRATA** **of interest** (April 18, 2006)

Please send me more!

Exercise 16.8. Add assumption that limit is continuous (to make exercise easier).

Page 132, end of line 3. Delete the extra 2 before y'.

Line 11. sin^2 should be just sin.

Exercise 28.3. The answer in the back of the book for the great circle distance should be 3629 miles;

the distance along the circle of latitude is about 3% farther.

(Thanks to Jeff Meng, David Thompson, and Zoe Xie.)

Exercise 29.8. In the integral formula for L, each x should have a dot on it.

Exercise 30:2b. The r in the denominator should be italic not bold, so that the denominator is the square of the distance to the origin.

Exercise 33.3. At end of hint, replace "(c2 / 2 c1) t" with "-(c2 / 2 c1 r) e^-rt".