J Sondow, An aroma of paradox and audacity : Milnor's work in differential topology, in Topological methods in modern mathematics (Houston, TX, 1993), 23- 30. H Bass, John Milnor, the algebraist, in Topological methods in modern mathematics (Houston, TX, 1993), 45- 84.

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J Milnor, Growing up in the old Fine Hall, in Prospects in Mathematics (Amer. Math. Soc., Providence, RI, 1999), 1- 11, The word algebra is not only used for naming an area of mathematics and some subareas; it is also used for naming some sorts of algebraic structures, such as an algebra over a field, commonly called an algebra. Sometimes, the same phrase is used for a subarea and its main algebraic structures; for example, Boolean algebra and a Boolean algebra. A mathematician specialized in algebra is called an algebraist. M Raussen and J Milnor, Interview with John Milnor, Notices Amer. Math. Soc. 59 (3) (2012), 400- 408.. J Hubbard, Review: Dynamics in one complex variable, by John Willard Milnor, Bull. Amer. Math. Soc. (N.S. ) 38 (4) (2001), 495- 498.He began research at Princeton after graduating with his B.A. and, in 1953, before completing his doctoral studies, he was appointed to the faculty in Princeton. While undertaking research he enjoyed playing games in the common room. In particular he played Kriegspiel (a game of blindfold chess ), Go and Nash (a game invented by John Nash and now called Hex ). In fact John Nash was at Princeton during these years and Milnor and Nash often talked about game theory. Milnor's next paper, written while he was undertaking research, was Sums of positional games (1953). Milnor writes in the Introduction:-

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As a single word with an article or in the plural, "an algebra" or "algebras" denotes a specific mathematical structure, whose precise definition depends on the context. Usually, the structure has an addition, multiplication, and scalar multiplication (see Algebra over a field). When some authors use the term "algebra", they make a subset of the following additional assumptions: associative, commutative, unital, and/or finite-dimensional. In universal algebra, the word "algebra" refers to a generalization of the above concept, which allows for n-ary operations.

Algebra (from Arabic ‏ الجبر‎ ( al-jabr)'reunion of broken parts, [1] bonesetting' [2]) [ʔldʒbr] ( listen ⓘ) is the study of variables and the rules for manipulating these variables in formulas; [3] it is a unifying thread of almost all of mathematics. [4] Imagine that the storyteller has a well-educated and thoughtful mind with which he fills you in on all the details of these new worlds and peculiar personalities, and that he has the skill to paint in words the most breathtaking portraits of our universe on levels from the chemical to the personal. Milnor's current interest is dynamics, especially holomorphic dynamics. His work in dynamics is summarised by Peter Makienko in his review of [ 9 ]:- It is evident now that low-dimensional dynamics, to a large extent initiated by Milnor's work, is a fundamental part of general dynamical systems theory. Milnor cast his eye on dynamical systems theory in the mid- 1970s. By that time the Smale program in dynamics had been completed. Milnor's approach was to start over from the very beginning, looking at the simplest nontrivial families of maps. The first choice, one-dimensional dynamics, became the subject of his joint paper with Thurston. Even the case of a unimodal map, that is, one with a single critical point, turns out to be extremely rich. This work may be compared with Poincaré's work on circle diffeomorphisms, which 100 years before had inaugurated the qualitative theory of dynamical systems. Milnor's work has opened several new directions in this field, and has given us many basic concepts, challenging problems and nice theorems.