Some Unifying Concepts in Applied Mathematics
I was trained, originally, as a pure mathematician although I have always worked in applications. Since I was a student I have recognized that the methodology of mathematical thinking is very powerful as a tool for development. It has, indeed, great practical value. Henry Pollak in his excellent talk today presented many interesting examples which seem to indicate that in the field of communications this is thoroughly recognized. However, there are still many areas of industry and of other human endeavors in which skepticism is prevalent.
KeywordsBoundary Operator Mathematical Thinking Algebraic Theory Boundary Method Independent Variation
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- I. Herrera, Boundary Methods: An Algebraic Theory, Pitman Advanced Publishing Program, 1984.Google Scholar
- I. Herrera, “Unified approach to numerical methods,” Numerical Methods for Partial Differential Equations, 1(1985), 25–44 (part I); 159-186 (part II); 241–258 (part III).Google Scholar
- J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Vol. 1, Springer-Verlag, 1972.Google Scholar
- I. Herrera, Algebraic Theory of Boundary Value Problems, Applicable Analysis, to be published, 1986.Google Scholar