in the line can be custom fitted as sofa-beds. The 2498 is the model A. **Rudin** shows as a sofa-bed at E.C. Dicken. The highest quality mechanisms and mattresses are used for five-star resort suites.

Principles of Mathematical Analysis |Walter **Rudin** 9. Dene (x; y) =T (r; ) on the rectangle 0 r a; 0 2 by the equations x=rcos; y=rsin: Show that Tmaps this rectangle onto the closed disc Dwithcenterat (0; 0) and radius a, that Tis one-to-one in the interior of the rectangle, and that J T (r; ) =r.

The following are solutions to selected exercises from Walter **Rudin**'sPrinciplesof Mathematical Analysis, Third Edition, which I compiled during the Winter of 2008 while a graduate student in Mathematics at UCLA.

**Rudin**, p. 227, N2, mo died. If fora holomorphic function at least one coecientinthepow er series expansion at every point of an open set is equal to zero, the function isapolynomial.

MATH 6210: SOLUTIONS TO PROBLEM SET#3 **Rudin**, Chapter 4, Problem#3. The space L p (T) is separable since the trigonometric polynomials with complex coefficients whose real andi maginarypartsare rational forma countable dense subset.

Adam **Rudin**, F. S. A., M. A. A. A. 14 Rockyfield Road Westport, CT 06880 Phone: (203) 339-5347 Website: http://www.laactuary.com E-Mail: adam@laactuary. com Employment: 2011 to Present Consulting Actuary, Stamford, Connecticut Retained by McKinsey and Company as an external advisor to the ...

Required Text: W. **RUDIN**: Principles of Mathematical Analysis . Third Edition, 1976. McGraw-Hill Publishing Co. New York. Detailed Lecture Notes , generously made available by Professor P.X. Gallager, will be distributed regularly.

COMMENTS FOR THE INSTRUCTOR USING **RUDIN**'S PRINCIPLES OF MATHEMATICAL ANALYSIS GeorgeM. Bergman, 1/98, major revisions 8/03,7/04,5/06,12/06 gbergman@math.berkeley.edu In 1993, after teaching from **Rudin**'s Principles of Mathematical Analysis , and noting some errata and points that could use ...

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