Number Theory and Related Fields
In Memory of Alf van der Poorten
Series: Springer Proceedings in Mathematics & Statistics, Vol. 43
Borwein, Jonathan M.; Shparlinski, Igor; Zudilin, Wadim (Eds.) 2013, X, 395 p. 8 illus. ISBN 978-1-4614-6642-0
Collects contributions based on the proceedings of ”International Number Theory Conference in Memory of Alf van der . . . → Read More: Number Theory and Related Fields
In his book Why Beliefs Matter: Reflections on the Nature of science, noted British mathematician E. Brian Davies surveys the sweeping landscape of modern philosophy of science and mathematics, with considerable skill and numerous thoughtful insights. Its closest analogue would be John Barrow’s 1992 book Pi in the Sky: Counting, Thinking and Being.
Davies is . . . → Read More: Book Review: “Why Beliefs Matter: Reflections on the Nature of Science”
The new book Convex Functions by Jonathan M. Borwein and Jon D. Vanderwerff has been selected as one of the “Outstanding Academic Titles” for 2011 by Choice, the American Library Association’s library book review journal.
Here is an excerpt from a review written by John D. Cook and published by the Mathematical Association of America . . . → Read More: Borwein’s book Convex Functions selected as Outstanding Academic Title
Loving and Hating Mathematics (Princeton University Press, 2010) is the child of two passionate scholars: a mathematician (Reuben Hersh) and a social scientist (Vera John-Steiner). Reuben Hersh has written for many articles for the Intelligencer, as well as earlier books such as The Mathematical Experience, coauthored with Davis and Marchisotto, and What is Mathematics Really?.
. . . → Read More: Review of “Loving and Hating Mathematics”
In a previous blog post, we addressed the perplexing phenomenon that whereas the scientific community years ago reached a strong consensus regarding the fact of global warming and the very likely human contribution to global warming, the public continues to believe that there is significant uncertainty and disagreement in the scientific community.
For example, in . . . → Read More: Merchants of Doubt
Richard C. Brown, Are Science and Mathematics Socially Constructed?: A Mathematician Encounters Postmodern Interpretations of Science, World Scientific, 2009.
In this book, Brown recounts the rise of what is now known as the “postmodern interpretations of science” (PIS) or “sociology of scientific knowledge” (SSK) movement. In addition to pioneers Karl Popper and Thomas Kuhn (the . . . → Read More: Are science and mathematics socially constructed?
John D. Barrow, New Theories of Everything, Oxford University Press, 2007.
Both of the present bloggers have enjoyed Barrow’s previous works. Bailey was so enthralled with Barrow and Tipler’s 1988 book The Anthropic Cosmological Principle that he read every word of its 736 pages multiple times. Borwein (with his brother Peter) wrote a favorable review . . . → Read More: John D. Barrow’s “New Theories of Everything”
Review/synopsis of Unscientific America: How Scientific Illiteracy Threatens Our Future, by Chris Mooney and Sheril Kirschenbaum, Basic Books, NY, 2009:
Carl Sagan, in his 1995 book The Demon-Haunted World issued this sober warning:
We’ve arranged a global civilization in which most crucial elements profoundly depend on science and technology. We have also . . . → Read More: Unscientific America