Complex Analysis
by Lars Valerian Ahlfors · first published 1953
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A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminolog
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"Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable" By Lars Ahlfors was very enjoyable to me. However, I read it after I already knew Complex Analysis.
on “How I learned to love and fear the Riemann Hypothesis” ↗…dependency with algebraic geometry than a hard one. It's good to have walking in, but realistically you can't master the subject without knowing algebraic geometry. You'll also need analysis, in particular complex analysis for curves. Real analysis and topology should also be covered but I suppose with tenacity you could get by without them. To translate these into concrete suggestions, in your position I'd try to work…
on “How I Learned to Love Algebraic Geometry” ↗…pick. 4. [Gilbert_Strang]_Introduction_to_Linear_Algebra - Undergraduate level linear algebra. Same guy has MIT OCW lectures. 5. [Peter_D._Lax]_Linear_Algebra_and_Its_Applications Complex Variables/Complex Analysis: 1. [John_Conway]_Functions_of_One_Complex_Variable_I - My top pick 2. [Lars_Ahlfors]_Complex_Analysis_(Third_Edition) - Classic. Not a big fan though.
on “Ask HN: How to self-learn math?” ↗