A book for complex analysis

I am currently learning complex analysis in my undergraduate studies and it's quite hard to understand for me. During my mathematical study I learned that nothing is to hard to understand, it's just necessary to find the right source for me. When I read skrypts or books they feel mostly too "dry" for me and it's not so enjoyable for me to read. In the past I learned first with books like e.g. analysis I or II for dummies and afterwords I learned with proper mathematical books, which I then could enjoy and understand fully, and use it as my main source.

But now as I progress to more advanced subjects, I find it hard to find books that help me. I learn best with a visual approach, the more graphics the better. And it's always good when the author explains a lot and is not assuming to much things as trivia.

I hope I made myself clear what kind of book I need and maybe someone can help me.

PS: I'm not restricted to books, if you know some good skript you are more than welcome. My native language is german, so I'm fine with sources in english and german.

Solution 1:

If you learn best visually, I would highly recommend 'Visual Complex Analysis' by Tristan Needham, which has lots of good exercises and gives visual explanations for most of the core topics and ideas of complex analysis, plus some beautiful additional chapters on vector fields and other wonderful applications of the subject.

Solution 2:

I suggest David C. Ullrich's Complex made simple.

Solution 3:

I like Stein and Shakarchi's book on complex analysis. I used Terence Tao's blog posts on complex analysis alongside as more formal exposition. Also, I recommend Steven Miller's video lectures on complex analysis. They are very good and have the advantage of closely following the book by Stein and Shakarchi.