Complex Analysis

by Serge Lang

The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read­ ing material for students on their own. A large number of routine exer­ cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.

Genres: Mathematics, Science, Textbooks

503 pages, Hardcover

First published December 31, 1977

About the author

Serge Lang was an influential mathematician in the field of number theory. Algebra is his most famous book.

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Reviews

[Al Capwned · Rating 3 out of 5]

I wish the solutions to the exercises were there somewhere.

[meadow · Rating 4 out of 5]

lots of examples, tons of exercises, a good deal of interesting material in the third section. easy to understand. someone please buy me this.

[Zihao · Rating 3 out of 5]

The book's first part is a bit too wordy.

[Ming · Rating 2 out of 5]

Read 10 Chapters of this, didn't finish. Fussy, dull and not particularly clean exposition.

[Ehmed Karim]

jguighokjp

[Lulu]

Complex Analysis - more advanced