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Doing Mathematics: Convention, Subject, Calculation, Analogy
Published in Hardcover by World Scientific Pub Co (2003)
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Doing Physics: How Physicists Take Hold of the World
Published in Paperback by Indiana University Press (1992)
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Get this in hardback-it's that good. Kreiger eliquently
tells the tax paying public who pays the freight for physics
how a physicist thinks. They are different than you and me.
Highly readable.
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Advice and Planning
Published in Hardcover by Temple Univ Press (1981)
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Constitutions of Matter: Mathematically Modeling the Most Everyday of Physical Phenomena
Published in Paperback by University of Chicago Press (1998)
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Entrepreneurial Vocations: Learning from the Callings of Augustine, Moses, Mothers, Antigone, Oedipus, and Prospero (Scholars Press Studies in the Humanities Series (Cloth), No 21)
Published in Hardcover by Scholars Pr (1996)
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Marginalism and Discontinuity: Tools for the Crafts of Knowledge and Decision
Published in Hardcover by Russell Sage Foundation (1989)
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What's Wrong with Plastic Trees? : Artifice and Authenticity in Design
Published in Hardcover by Praeger Publishers (30 April, 2000)
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Second, the book can be read at various levels, and that may be why it was chosen as a Library of Science selection. I have a friend who is a Hollywood director (originally trained as an attorney), and he understood it exactly, even though he knows little technical physics or mathematics. He read across that material and got the point. On the other hand, if you have an advanced degree in mathematics, as did another readers or two, you can read it for the technical details as well as the more general features. I have chosen movie stars of mathematics (C. Fefferman, R. Langlands) for much of the work. I also include a rather wonderful letter of Andre Weil (the mathematician) written to his sister (Simone Weil) about how he does mathematics. It appears in French in his collected papers, and it is here translated into English. I suspect that someone like Gian-Carlo Rota would have found congenial what I done here, although he would say that I have been insufficiently phenomenological.
My goal is to say something that mathematicians would find unexpectionable, for they might say--sure, this is what we do. But it is said in such a way that others gain access to that, and to that in terms of classy examples.
Third, I have deliberately not gotten into philosophy of mathematics arguments. I suspect that my materials would be useful for such, but those arguments do not much affect what I say in my descriptions.
Finally, I want to provide a way into what mathematicians do that suggests that it is not so strange compared to what other thinkers do--albeit it is mathematics, not poetry, not rhetoric, not sociology. It is mathematics.
Martin Krieger