Introduction to Analysis, Probability, and Topology Applied to Computational Mathematics, and Vice Versa

Eduardo S. Zeron () and Bharath Sriraman ()
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Eduardo S. Zeron: CINVESTAV del IPN, Departamento de Matemáticas
Bharath Sriraman: University of Montana – Missoula, Department of Mathematical Sciences

A chapter in Handbook of Visual, Experimental and Computational Mathematics, 2026, pp 739-742 from Springer

Abstract: Abstract The relationship between computer science and mathematics is strong, active, and productive. For example, coding theory is born from the interaction between computer science, algebra, and number theory; Shannon information theory from computer science, probability, and statistics; chaos theory from computer science, analysis, and differential equations; et cetera. One shall not forget that the hardest problems in computational optimization (like the travelling salesman problem) come from graph theory. In this aspect, a recent trend in computational optimization and mathematics is to produce polynomial-time heuristic algorithms.

Keywords: Algebra; Analysis; Probability; Graph theory; 68-01 (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-16368-4_70

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