Fundamentals Of Complex Analysis: With Applications To Engineering And Science

by Edward B. Saff, Arthur David Snider

Provides an introduction to complex variable theory and its applications to engineering problems. This title presents the fundamentals of the subject, and incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

Genres: Mathematics, Textbooks, Reference, Engineering, Nonfiction

563 pages, Paperback

First published December 1, 1999

About the author

Edward Barry Saff

Reviews

[Logan · Rating 1 out of 5]

This is a great textbook for someone who doesn’t want to learn anything about complex analysis. The proofs are nonexistent, mathematical rigor is entirely ignored, and many topics are either just left out, or discussed in minute detail. To paraphrase a passage from section 6.7, “you will prove in advanced calculus texts the Balzano-Weierstrass theorem.” The Balzano-Weierstrass theorem is not that difficult to prove if the text would introduce even the most basic notions of set theory. Other proofs are completely ignored, and the book fails to mention anything about elliptic and modular functions, which Richard Borcherds, a fields medal winner, has claimed is a necessary topic for a good complex analysis textbook. Some will claim that since it is geared towards engineers, it should be less mathematically rigorous. I would argue that not understanding the why behind a concept in mathematics presents a significant detriment to one’s education. This textbook should not be used in any formal setting to teach students if they actually want to learn anything about complex analysis.

[Othello Gomes · Rating 3 out of 5]

PTSD.

[Samu]

Good book

[Alex · Rating 4 out of 5]

Great introduction for undergrads.

[aruushi · Rating 4 out of 5]

7/10

A helpful addition to a complex analysis course I was taking, but it did not add any additional information or nuance that I believe could not have already been included or better explained in the course itself. That said, it did help me in my course when all required knowledge was not always taught in class.

[James Millikan · Rating 4 out of 5]

This was a fine text for my Complex Analysis course. Reading the book after lectures helped to clarify concepts and explore additional applications. Nevertheless, with so much good complex variables content on Youtube, I didn't use it as much as I anticipated. If your prof requires this text, I would recommend reading the relevant chapter before starting a new unit, but then look elsewhere for more interactive content (videos, Desmos graphs, etc) to help complete the problem sets.