Strengthening the Linkages Between the Sciences and the Mathematical Sciences

Strengthening the Linkages Between the Sciences and the Mathematical Sciences

by Committee on Strengthening the Linkages Between the Sciences and the Mathematical Sciences, National Research Council
     
 

ISBN-10: 0309069475

ISBN-13: 9780309069472

Pub. Date: 04/19/2000

Publisher: National Academies Press

Over three hundred years ago, Galileo is reported to have said, "The laws of nature are written in the language of mathematics." Often mathematics and science go hand in hand, with one helping develop and improve the other. Discoveries in science, for example, open up new advances in statistics, computer science, operations research, and pure and applied

Overview

Over three hundred years ago, Galileo is reported to have said, "The laws of nature are written in the language of mathematics." Often mathematics and science go hand in hand, with one helping develop and improve the other. Discoveries in science, for example, open up new advances in statistics, computer science, operations research, and pure and applied mathematics which in turn enabled new practical technologies and advanced entirely new frontiers of science. Despite the interdependency that exists between these two disciplines, cooperation and collaboration between mathematical scientists and scientists have only occurred by chance.

To encourage new collaboration between the mathematical sciences and other fields and to sustain present collaboration, the National Research Council (NRC) formed a committee representing a broad cross-section of scientists from academia, federal government laboratories, and industry. The goal of the committee was to examine the mechanisms for strengthening interdisciplinary research between mathematical sciences and the sciences, with a strong focus on suggesting the most effective mechanisms of collaboration. Strengthening the Linkages Between the Sciences and the Mathematical Sciences provides the findings and recommendations of the committee as well as case studies of cross-discipline collaboration, the workshop agenda, and federal agencies that provide funding for such collaboration.

Product Details

ISBN-13:
9780309069472
Publisher:
National Academies Press
Publication date:
04/19/2000
Pages:
138
Product dimensions:
8.50(w) x 11.00(h) x (d)

Table of Contents

Contents

1 Executive Summary....................1
1 Introduction....................5
References....................7
2 Example of Linkages....................9
Cross-Disciplinary Efforts by Researchers....................9
Lessons Learned....................14
Programs That Foster Cross-Disciplinary Research....................17
Success Factors....................27
References....................28
3 Previous Efforts and Studies Relevant to Math/Science Linkages....................31
References....................33
4 Recommendations....................35
Funding Directions....................35
Cross-Disciplinary Interactions....................38
Oversight....................39
Reference....................41
Appendixes....................43
A Ten Case Studies of Math/Science Interactions....................41
1 Modeling Weather Systems Using Weakly Nonlinear, Unstable Baroclinic Waves....................45
2 Mixing in the Oceans and Chaos Theory....................47
3 Wavelets: A Case Study of Interaction Between Mathematics and the Other Sciences....................50
4 From Forest Dynamics to Interacting Particle Systems....................54
5 Modeling the Dynamics of Infectious Diseases: Two Examples....................57
6 Topology and Dynamics of Mutant Bacteria, and Applications to Materials Science....................60
7 Examples from Molecular Biology....................63
8 Challengers, Barriers, and Rewards in the Transition from Computer Scientist to Computational Biologist....................67
9 Crossbreeding Mathematics and Theoretical Chemistry: Two Tales with DifferentEndings....................69
10 Martingale Theory....................71
B Workshop Agenda and Presentations....................75
C Partial Chronology of Previous Efforts to Strengthen Mathematics and Cross-Disciplinary Research....................91
D Federal Agencies That Provide Funding Opportunities....................101
E Acronyms and Abbreviations....................121

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