Applied Categories and Functors for Undergraduates
Vladimir G. Ivancevic, Tijana T. Ivancevic
TL;DR
This paper provides lecture notes introducing applied categories and functors tailored for undergraduates across various scientific disciplines, requiring only basic calculus and linear algebra background.
Contribution
It offers an accessible introduction to applied categorical concepts specifically designed for undergraduate students in multiple scientific fields.
Findings
Accessible categorical framework for undergraduates
Bridges between category theory and sciences
Foundational understanding of functors and categories
Abstract
These are lecture notes for a 1-semester undergraduate course (in computer science, mathematics, physics, engineering, chemistry or biology) in applied categorical meta-language. The only necessary background for comprehensive reading of these notes are first-year calculus and linear algebra.
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Taxonomy
TopicsIntelligent Tutoring Systems and Adaptive Learning · Logic, programming, and type systems · Quantum Mechanics and Applications