Saunders Mac Lane was an extraordinary mathematician, a dedicated teacher, and a good citizen who cared deeply about the values of science and education. In his autobiography, he gives us a glimpse of his "life and times," mixing the highly personal with professional observations. His recollections bring to life a century of extraordinary accomplishments and tragedies that
Saunders Mac Lane was an extraordinary mathematician, a dedicated teacher, and a good citizen who cared deeply about the values of science and education. In his autobiography, he gives us a glimpse of his "life and times," mixing the highly personal with professional observations. His recollections bring to life a century of extraordinary accomplishments and tragedies that inspire and educate. Saunders Mac Lane's life covers nearly a century of mathematical developments. During the earlier part of the twentieth century, he participated in the exciting happenings in Gottingen---the Mecca of mathematics. He studied under David Hilbert, Hermann Weyl, and Paul Bernays and witnessed the collapse of a great tradition under the political pressure of a brutal dictatorship. Later, he contributed to the more abstract and general mathematical viewpoints developed in the twentieth century. Perhaps the most outstanding accomplishment during his long and extraordinary career was the development of the concept of categories, together with Samuel Eilenberg, and the creation of a theory that has broad applications in different areas of mathematics, in particular topology and foundations. He was also a keen observer and active participant in the social and political events. As a member and vice president of the National Academy of Science and an advisor to the Administration, he exerted considerable influence on science and education policies in the post-war period. Mac Lane's autobiography takes the reader on a journey through the most important milestones of the mathematical world in the twentieth century."
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Pretty interesting to me, as it touched on lots of tangential interests. Saunders was over at the University of Chicago during the Hutchins era (Hutchins got him over there!), did important work in research (categories and algebra and other things I don't understand), and has lots of anecdotes about other famous mathematical figures of the 20th century — Irving Kaplansky, Haskell Curry, Howard's thesis troubles (of Curry-Howard isomorphism fame), etc (lots more than that, just those three came t
Pretty interesting to me, as it touched on lots of tangential interests. Saunders was over at the University of Chicago during the Hutchins era (Hutchins got him over there!), did important work in research (categories and algebra and other things I don't understand), and has lots of anecdotes about other famous mathematical figures of the 20th century — Irving Kaplansky, Haskell Curry, Howard's thesis troubles (of Curry-Howard isomorphism fame), etc (lots more than that, just those three came to mind right now). The book includes some of the founding history and psychology of American scientific and engineering organizations. He also gives some clear explanations, including a one-liner explaining what groups are. Too bad everything else was way over my head. I wish he'd given more advice for beginning mathematicians. One left a very good summary of his approach in an Amazon review of the book Algebra.
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Probably 3/5 as a rating, but this is an autobiography that, without warning, slips into surveys of quite difficult, abstract mathematics (unsurprising, this being the co-inventor of categories). I can only give a proper rating if I am able to understand most (if not all) the mathematics.
That said, Mac Lane's book seems a tad unfinished. There is plenty of content, but somehow there is a lack of polish. For such an illustrious mathematician, one would have expected more story, more anecdote, mor
Probably 3/5 as a rating, but this is an autobiography that, without warning, slips into surveys of quite difficult, abstract mathematics (unsurprising, this being the co-inventor of categories). I can only give a proper rating if I am able to understand most (if not all) the mathematics.
That said, Mac Lane's book seems a tad unfinished. There is plenty of content, but somehow there is a lack of polish. For such an illustrious mathematician, one would have expected more story, more anecdote, more insight into the mathematical life. Yet Mac Lane's biography is still outstanding, in that it offers views of a mathematician that had great authority in much of his career (president of the AMS, NAS, etc in different periods of his career).
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Very enjoyable, with some interesting perspectives on history from a great man. The most interesting part by far was his perspective on Germany's mathematics community changing as the Nazis came to power. I didn't understand all of it, but I also absorbed some interesting math along the way.