Want to Be a Complex Analysis Master? Read This.

In this video I go over a very famous book on complex analysis. This is not a beginner book on complex analysis. This is the kind of book you read very slowly:) I hope you enjoy this video.

The book is called Complex Analysis and it was written by the very famous mathematician Lars Ahlfors.

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[Fidder]

"Please Return" that's what was written at the beginning.

[loxoloop]

Lars Ahlfors was one of the first winners of the Fields Medal in 1939 at the age of 29. He was Finnish and worked at University of Helsinki. Andrew Weil went visit him in that same year, 1939. Weil was a reserve officer in the French Army and didn’t want to get called up for active duty. The hotel workers thought he was suspicious sitting on the beach with his wife typing up a manuscript and reported him to the Finnish police intelligence. He was then arrested for spying. They became convinced that his writings were some kind of secret coded messages and sentenced him for execution. Other evidence was a packet of calling cards with the name Nicolas Bourbaki of the Royal Academy of Poldevia. The night before the execution a friend intervened and got the sentence changed to deportation to Sweden.

From the book “The Artist and the Mathematician - The Story of Nicolas Bourbaki” by Aczel.

[MadScientyst]

Complex Analysis / Variables is my favorite Topic in Math & having amassed a sizeable reference collection, I'd have to say my all time go-to reference is the awesome 'Theory of Functions of a Complex Variable (3 vol. set) by Russian author A.I. Markushevich. It's expensive but worth the depth of detail & comprehensive topics it covers!!

[nukeengineer]

Years back as a graduate student in physics, my advisor recommended the books by Konrad Knopp (5 vol Dover series). It has all the theorems and excellent sample problems. and two problem books with full solutions. Great books that have helped me as I come across research papers in engineering that use complex variables, like fluid mechanics and theory of elasticity.

[TIMSO]

Rudins Real and Complex analysis is my favorite book, extremely clear and informative and shows how the two subjects are connected. The books treats, among other things lots of measure theory, hilbert spaces, banach spaces and algebras, some fourier analysis and enough complex analysis for a grad course all in one self contained book.

[MedicenMulix]

The quality of the video is amazing. And yes, this is a very classic book. I have a copy of it. It is just one of my favorites.

[martinhawrylkiewicz]

Great vid! I have that book on my shelf but used it only as a reference. In graduate school, I have used Complex Variables by Conway.

[pinedelgado]

I have that book in the Indian Subcontinental paperback edition!! After seeing that you've done a book review video on Lars Ahlfors' (of Finland) complex analysis text, I just might look through it again over the weekend! It's in my bookcase of historically significant math texts where I have Euclid's ELEMENTS, Fibonacci's LIBER ABACI and Whitehead's and Russell's PRINCIPIA MATHEMATICA to name a few. And any math book written by one of the VERY FIRST Fields Medals to be awarded has just GOT TO BE A WINNER!!! Thanks lots for producing and posting this video!!!! :) :) :) :) :) :)

[christianholtz]

Don't response

I watched your video how to read a math book; I had oscillations in how I can read math books, now I can read and I'm motivated to learn math. I did fall in love with math... :-) What I do is quantitive entrepreneurship, I'm a quant who does entrepreneurship. I want to pioneer a field called reality theory.

[pinklady]

I smell not only old books, also pine timbre like your table. I love woodworks.

I will order that book next and also those on ordinary differentiation equations and partial differential equations. I am collecting maths & physics books for my home library. At present, I have roughly 15 books. My mother despairs seeing my book collections.

I am almost finished with James Stewart's "Calculus, Metric Version" and Susanna S. Epp's "Discrete Mathematics with Application." I got them after your book reviews.

Last week, I received 7 books in the post: one on applied mathematics, four on physics and two on respectively classical mechanics and quantum mechanics. I am starting physics from high school level and gradually pulling up to university level. I will consider other branches of physics in 6 - 24 months time, those like thermodynnamics which I have explored at Wikipedia and Open Library. I leave the hardest to the very last.

[MoisesSolisLordOfAll]

For gradute level complex analysis, and slightly more modern book, I would recommend "Complex made simple" by David C. Ulrich, the problems are really hard, but fair. Like dark souls.

[shunsukenatsusawa]

I have a 2nd edition(1966)which is a paperback international student edition., including index, 317p, but after all no solutions for exercises. Your book is probably the first edition. YOU have a high-value book!

[maxzaputovich]

What a coincidence! A few weeks ago I found this book in my grandma's house (a lot of my dad's books are still there, we haven't brought them home). I couldn't believe my eyes: it was actually the ahlfors book! Now I won't have to struggle with buying it (but will probably struggle with the book, lol). Such a great find (I still have a long way to go until I'm able to understand it, but still, I think having it is pretty rad!)

[tedbo]

Here are some of my favourite complex analysis books (not that anyone asked):
Ash, Novinger - Complex Variables
Conway - Functions of One Complex Variable I
Spiegel, Lipschutz - Schaum's Outline of Complex Variables
Needham - Visual Complex Analysis
Lang - Complex Analysis
Bak, Newman - Complex Analysis
Priestley - Complex Analysis
Stewart, Tall - Complex Analysis

[andyl.]

What are the odds! The same book recommended by the mighty Richard Borcherds in his most-recent, undergraduate-level complex analysis series.

[William_Fields]

There is a solutions manual for selected problems for Complex Analysis by Ahlfors.

[mohamedeharrab]

On of m'y Dreams IS to visit your Big library and to meat you because of your Big knowledge in maths

[unvatopregunta]

amazing book, thanks for the recomendation

[maalik]

Please make a video on " what is that level for a mathematician or physicist to develope his own mathematics for theory or not for theory like Newton, Hilbert did " I'm really in search of this question, please answer. Your follower.

[CV-wgdp]

Finally lol, Thanks. Edit: As an additional comment, Professor Lars V. Ahlfors won the Fields medal in 1936.