Session of the Division of Physical and Mathematical Sciences
Author: Akademi︠ia︡ nauk SSSR.
Publisher:
Published: 1956
Total Pages: 272
ISBN-13:
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Author: Akademi︠ia︡ nauk SSSR.
Publisher:
Published: 1956
Total Pages: 272
ISBN-13:
DOWNLOAD EBOOKAuthor: Barry Cipra
Publisher: American Mathematical Soc.
Published:
Total Pages: 108
ISBN-13: 9780821890431
DOWNLOAD EBOOKMathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Author: Joseph Epstein
Publisher:
Published: 1968
Total Pages: 204
ISBN-13:
DOWNLOAD EBOOKAuthor: National Research Council
Publisher: National Academies Press
Published: 1997-08-25
Total Pages: 92
ISBN-13: 030905883X
DOWNLOAD EBOOKAuthor: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
Published: 2019-10-20
Total Pages: 257
ISBN-13: 0309486165
DOWNLOAD EBOOKOne of the pathways by which the scientific community confirms the validity of a new scientific discovery is by repeating the research that produced it. When a scientific effort fails to independently confirm the computations or results of a previous study, some fear that it may be a symptom of a lack of rigor in science, while others argue that such an observed inconsistency can be an important precursor to new discovery. Concerns about reproducibility and replicability have been expressed in both scientific and popular media. As these concerns came to light, Congress requested that the National Academies of Sciences, Engineering, and Medicine conduct a study to assess the extent of issues related to reproducibility and replicability and to offer recommendations for improving rigor and transparency in scientific research. Reproducibility and Replicability in Science defines reproducibility and replicability and examines the factors that may lead to non-reproducibility and non-replicability in research. Unlike the typical expectation of reproducibility between two computations, expectations about replicability are more nuanced, and in some cases a lack of replicability can aid the process of scientific discovery. This report provides recommendations to researchers, academic institutions, journals, and funders on steps they can take to improve reproducibility and replicability in science.
Author:
Publisher:
Published: 1959
Total Pages: 1308
ISBN-13:
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