Complex Analysis, by T. W. Gamelin

Publication Information

Solutions to Exercises

List of Errata in Second Printing

Changes to First Printing

Comments on Changes

• Page 282: Exercises 3-5 in Section X.2 were replaced by substitute Exercises 3 and 4 in the list of changes. Also, Exercise 2 on page 282 was expanded, so that the combined changes fit exactly the same number of lines as in the original version.
  
  
• Page 406: The "potential theory" proof of the Riemann mapping theorem is incomplete. The function used in the proof is not a barrier, according to the definition given in the book. Something nontrivial must be done (Bouligand's lemma) to construct a barrier. The replacement in the second printing refers to Tsuji's book for the Bouligand lemma. Another good source is the book "Complex Potential Theory" by T.J. Ransford. I'll post soon a complete proof on this web site.

• Some of the changes are rather trivial (font, spelling, minor grammatical infringements, and so on).
  
  
• Some of the changes correct errors that were undoubtedly evident to the reader, such as mislabeled contours, mistaken exercise reference labels, and simple typographical mistakes.
  
  
• Some of the changes correct errors that were more substantial, though still probably evident to the instructor. For instance, the statement in Exercise XVI.1.3(b) on p.423 is flagrantly false, and a correct substitute exercise has been provided in the list of changes.
  
  
• Some of the exercises are "undoable," a fact which became apparent to me in the course of preparing a solution manual. For instance, Exercises XV.4-5 on pp.405-406 are correct but undoable on the basis of the treatment in the book. Substitute exercises are provided in the list of changes.
  
  
• Some of the changes are made to increase or decrease the number of lines, so that no repagination is required.