Basic Complex Analysis by Jerrold E. Marsden (PDF)

Description

Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time..

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It gets the job done. Nothing particularly thrilling, but it’s not like I have a lot of experience with complex analysis textbooks. That said, I suspect most people buying this are getting it for a class, so it’s not like they have a choice, so it is what is says on the cover.

⭐I used an earlier edition of this text as an instructor 20 years ago. The students in my class at the time were equally divided among the fields of mathematics, physics, and engineering. The book proved to be quite useful for all of them. Marsden skillfully strikes a balance between the needs of math majors preparing for graduate study and the needs of physics and engineering students seeking applications of complex analysis.The book is clearly written and well-organized, with plenty of examples and exercises. My only significant criticism of the first edition was the author’s tendency to label many examples of contour integration as theorems. Technically, there is nothing wrong this, but I found that some of my students tended to memorize the statements of these “theorems” rather than focus on the methods of integration discussed (for example, “Pac-Man” integrals with branch cuts along rays other than the positive real axis). Nonetheless, this is a fine text that has–not surprisingly–continued to be widely used for over two decades.

⭐If you are using this book for a course, I recommend you get a supplement book with more problems and better examples. This book is difficult to work through because it doesn’t use the classical “example follows theorem.” Instead, it places all the examples at the end of the chapter.What is worse is that the examples tend to require compound knowledge. That is, they tend to test your ability to grasp more than one concept at a time instead of sequentially building up that current subjects. Also, please note that many of the examples assume that you worked out a problem in the previous exercises.As for the lack of rigor, it can make some areas of complex variables easy (specially the areas involving deformations), while making other things much harder. Geometric intuition will be highly emphasized but poorly depicted. Overall, I hated this book because I had to beat myself up to grasp examples.

⭐this book mostly just explains concepts, provides worked out problems and then provides problems for the reader to solve. I think this book does what is expected. I wish it came with a smartphone app. Computation is not mathematics.

⭐Used product status was improperly labeled as ‘Very Good’. The book had clear water damage and extensive markings within.

⭐great!

⭐It’s a good book. The wording is precise and clear, there are plenty of examples and diagrams, and it seems to be well organized.Definitely of reasonable caliber for undergraduate study.

⭐There exists a solution manual to this but it’s like the hardest thing to find on the planet. There is also an online supplement which I don’t know why the book didn’t cover that material

⭐Es uno de los mejores libros sobre funciones de una variable compleja. Lo utilizé para explicar el problema de Dirichlet.

⭐

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