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Renewing U.S. mathematics : a plan for the 1990s / Committee on the Mathematical Sciences -- Status and Future Directions, Board on Mathematical Sciences, Commission on Physical Sciences, Mathematics, and Applications, National Research Council.

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Format:
Book
Author/Creator:
National Research Council (U.S.). Committee on the Mathematical Sciences: Status and Future Directions.
Language:
English
Subjects (All):
Mathematics--Research--United States.
Mathematics.
Mathematics--Study and teaching--United States.
Physical Description:
1 online resource (147 p.)
Edition:
1st ed.
Place of Publication:
Washington, D.C. : National Academy Press, 1990.
Language Note:
English
Contents:
Renewing U.S. Mathematics
Copyright
Acknowledgments
Contents
Executive Summary
RENEWING U.S. MATHEMATICS-THE 1984 REPORT
THE CURRENT REPORT-A PLAN FOR THE 1990S
CONCLUSIONS AND RECOMMENDATIONS
I. Implement the 1984 Report's National Plan
II. Improve the Mathematical Sciences Career Path
NOTES
1 Background and Introduction
THE SITUATION IN 1984
IMBALANCE IN SUPPORT FOR RESEARCH
THE 1984 NATIONAL PLAN
THE CURRENT REPORT
Purpose and Emphasis
Definition of the Mathematical Sciences
2 Response to the 1984 National Plan
FEDERAL RESPONSE
National Science Foundation
Department of Defense
Department of Energy
Mathematics of Computation Initiative
Federal Progress Toward Achieving Quantitative Goals of the 1984 National Plan
RESPONSE OF THE UNIVERSITIES
RESPONSE OF THE MATHEMATICAL SCIENCES COMMUNITY
Response of Leadership
Response of Individuals in the Research Community
3 Research Progress and Prospects
THE MATHEMATICAL SCIENCES YESTERDAY
THE MATHEMATICAL SCIENCES TODAY
COMPUTERS IN THE MATHEMATICAL SCIENCES
ACCOMPLISHMENTS AND OPPORTUNITIES
The Living World
The Physical World
The Computational World
THE UNIFYING SCIENCE
THE PRODUCTION OF NEW MATHEMATICS
4 The Problem of Renewal
DEMAND FOR MATHEMATICAL SCIENTISTS
SHORTFALL IN SUPPLY
REASONS FOR THE SHORTFALL
Changing Demographics
Cultural and Educational Problems
What Discourages Talent
The Leaky Pipeline
The Reward Structure
ADDRESSING THE SHORTFALL
Recruitment
Replenishment
Broadening the Reward Structure
5 Recommendations
PRIMARY RECOMMENDATIONS
DIRECTED RECOMMENDATIONS
Federal Agencies
Agencies Collectively
Department of Defense.
Department of Energy, National Institutes of Health, and National Aeronautics and Space Administration
Office of Science and Technology Policy
Universities
Department Chairs and University Administrators
Mathematical Sciences Community
Appendixes
Appendix A Executive Summary of the 1984 Report
1. Background
II. The Mathematical Sciences
A. Strengths and Opportunities
B. Prospects for the Future
III. The Weakening of Federal Support
A. How It Happened
B. Why It Escaped Notice
C. Its Consequences
IV. Future Support
A. The Needs of Research Mathematical Scientists
B. A Plan for Renewal
C. Implementation
Notes
Appendix B Recent Research Accomplishments and Related Opportunities
Synopsis of Topics
1. Recent Advances in Partial Differential Equations
Formation of Shocks in Nonlinear Waves
Elliptic Equations
Free Boundary Problems
Exactly Solvable Partial Differential Equations
2. Vortices in Fluid Flow
3. Aircraft Design
4. Physiology
5. Medical Scanning Techniques
6. Global Change
7. Chaotic Dynamics
8. Wavelet Analysis
9. Number theory
10. Topology
11. Symplectic Geometry
12. Noncommutative Geometry
13. Computer Visualization As a Mathematical Tool
14. Lie Algebras and Phase Transitions
15. String Theory
16. Interacting Particle Systems
17. Spatial Statistics
18. Statistical Methods for Quality and Productivity
19. Graph Minors
20. Mathematical Economics
21. Parallel Algorithms and Architectures
22. Randomized Algorithms
23. The Fast Multipole Algorithm
24. Interior Point Methods for Linear Programming
25. Stochastic Linear Programming
26. Applications of Statistics to DNA Structure
27. Biostatistics and Epidemiology
Note.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references.
ISBN:
9786610212453
9781280212451
1280212454
9780309594929
0309594928
9780585143941
0585143943
OCLC:
297410396

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