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Charles François Sturm and Differential Equations

In: Collected Works of Charles François Sturm

Author

Listed:
  • Jasper Lützen

    (University of Copenhagen, Department of Mathematical Sciences)

  • Angelo Mingarelli

    (Carleton University, School of Mathematics and Statistics)

Abstract

There are several types of innovation in mathematical research: 1) Solutions of problems either in mathematics or outside; 2) Formulations and/or proofs of new mathematical theorems; 3) Developments of new areas and/or methodologies and/or questions. Sturm’s work on equations presents innovations of the first and second type, whereas his work on differential equations primarily presents innovations of the third type. To be sure, Sturm was inspired by problems in physics when he developed his new theories, but his papers did not present the solution of specific problems. It is equally true that his new theories contain several new theorems, some of them later named after him, but they are remarkable primarily because they are of an entirely new kind.

Suggested Citation

  • Jasper Lützen & Angelo Mingarelli, 2009. "Charles François Sturm and Differential Equations," Springer Books, in: Jean-Claude Pont (ed.), Collected Works of Charles François Sturm, pages 25-47, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7643-7990-2_3
    DOI: 10.1007/978-3-7643-7990-2_3
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