Unifying Aspects of Generalized Calculus
Marek Czachor
Abstract
Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory. The formalism, being very general, is as simple as the calculus we know from undergraduate courses of mathematics. Its theoretical potential is huge, and yet it remains unknown or unappreciated.
Topics & Concepts
Calculus (dental)Simple (philosophy)MathematicsField (mathematics)Time-scale calculusComputer scienceSituation calculusAlgebra over a fieldQuantum field theoryGeneralized functionTensor calculusFunctional calculusSimply typed lambda calculusStatistical Mechanics and EntropyMathematical and Theoretical AnalysisHeat Transfer and Numerical Methods