John Milnor
American mathematician renowned for foundational contributions to differential topology, dynamical systems, and geometric topology; recipient of the Fields Medal (1962) and the Abel Prize (2011); author of influential works including Morse Theory and Topology from the Differentiable Viewpoint.
Books
This list of books are ONLY the books that have been ranked on the lists that are aggregated on this site. This is not a comprehensive list of all books by this author.
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1. Dynamics In One Complex Variable
Introductory Lectures
An accessible introduction to holomorphic dynamics in one complex variable, centered on the iteration of rational maps on the Riemann sphere. It develops the core theory of Fatou and Julia sets, critical orbits, hyperbolicity, structural stability, and normal families, while exploring parameter spaces such as the Mandelbrot set. The text emphasizes geometric intuition through examples, exercises, and tools like polynomial-like mappings and quasiconformal surgery, and highlights key results including the absence of wandering domains.
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