Applied mathematics deals with mathematical concepts and techniques used in various fields of science and engineering. Historically, mathematics was first applied with great success in astronomy and mechanics. Then it developed into a main tool for physics, other physical sciences and engineering. It is now becoming important in the biological, geological, economics, business, etc. With the coming of age of the computer, applied mathematics transcended its traditional style, and now assumes an even greater importance and a new vitality.

Compared with the pure mathematician, the applied mathematician is more interested in problems coming from other fields. Compared with the engineer and the physical scientist, he is more concerned with the formulation of problems and the nature of solutions. Compared with the computer scientist, he is more concerned with the accuracy of approximations and the interpretation of results. Needless to say, even in this age of specialization, the work of mathematicians, scientists, and engineers frequently overlaps. Applied mathematics, by its very nature, has occupied a central position in this interplay, and has remained a field of fascination and excitement for active minds.

Current Research

  • analytical and numerical partial differential equations

  • mathematical foundation of data analytics, uncertainty quantification, stochastic analysis
     
  • large-scale scientific computation
     
  • fluid dynamics and continuum mechanics
     
  • dynamical systems and chaos
     
  • applications to various fields of data, physical and life sciences
     

The applications include:


Atmospheric, Oceanic, and Earth Physics

Current research focuses on:

  • dynamics of the atmosphere and the ocean
     
  • climate modeling
     
  • cloud physics
     
  • radiation transfer
     
  • remote sensing
     
  • geophysical/geological fluid dynamics
     
  • geochemistry
     

The department engages in ongoing research and instruction with the NASA Goddard Institute for Space Studies (GISS) and the Lamont-Doherty Earth Observatory (LDEO). Six faculty members share appointments with the Department of Earth and Environmental Sciences.

In addition to the department faculty and graduate students, many others participate in these projects, including full-time research faculty, faculty and students from other departments, and visiting scientists.


500 W. 120th St., Mudd 200, MC 4701 New York, NY 10027 / Phone: 212-854-4457 / Fax: 212-854-8257 / Email: seasinfo.apam@columbia.edu

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