Mathematics


American Mathematical Society - Proof by computer

  2008 NOV 24 - (VerticalNews.com) -- November 6, 2008, Providence, RI---New computer tools have the potential to revolutionize the practice of mathematics by providing far more-reliable proofs of mathematical results than have ever been possible in the history of humankind. These computer tools, based on the notion of "formal proof", have in recent years been used to provide nearly infallible proofs of many important results in mathematics. A ground-breaking collection of four articles by leading experts, published in the Notices of the American Mathematical Society (http://www.ams.org/notices), explores new developments in the use of formal proof in mathematics ...read more


American Mathematical Society - Where mathematics and astrophysics meet

  2008 JUN 23 - (VerticalNews.com) -- Providence, RI---The mathematicians were trying to extend an illustrious result in their field, the Fundamental Theorem of Algebra. The astrophysicists were working on a fundamental problem in their field, the problem of gravitational lensing. That the two groups were in fact working on the same question is both expected and unexpected: The "unreasonable effectiveness of mathematics" is well known throughout the sciences, but every new instance produces welcome insights and sheer delight ...read more


American Mathematical Society - Report on citation statistics

  2008 JUN 23 - (VerticalNews.com) -- The International Mathematical Union released the Citation Statistics report. Citation-based statistics, such as the impact factor, are often used to assess scientific research, but are they the best measures of research quality? Three international mathematics organizations have released a report, Citation Statistics, on the use of citations in assessing research quality ? a topic that is of increasing interest throughout the world's scientific community. The report is written from a mathematical perspective and strongly cautions against the over-reliance on citation statistics such as the impact factor and h-index. These are often promoted because of the belief in their accuracy, objectivity, and simplicity, but these beliefs are unfounded ...read more


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