By Agnieszka B. Malinowska,Delfim F.M. Torres
This short places jointly subjects, quantum and variational calculi by means of contemplating variational difficulties regarding Hahn quantum operators. the most good thing about its effects is they may be able to care for nondifferentiable (even discontinuous) capabilities, that are very important in applications.
Possible functions in economics are mentioned. Economists version time as non-stop or discrete. even if person financial judgements are ordinarily made at discrete time periods, they could good be under completely synchronized in methods discrete types postulate. nevertheless, the standard assumption that monetary task occurs continually, is not anything else than a handy abstraction that during many functions is way from fact. The Hahn quantum calculus is helping to bridge the distance among the 2 households of versions: non-stop and discrete.
Quantum Variational Calculus is self-contained and unified in presentation. It offers a chance for an advent to the quantum calculus of adaptations for knowledgeable researchers yet can be utilized as a complicated textbook via graduate scholars or even bold undergraduates to boot. the reasons within the ebook are unique to catch the curiosity of the curious reader, and entire to supply the mandatory heritage fabric had to move additional into the topic and discover the wealthy examine literature, motivating extra study task within the area.
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Extra resources for Quantum Variational Calculus (SpringerBriefs in Electrical and Computer Engineering)
Quantum Variational Calculus (SpringerBriefs in Electrical and Computer Engineering) by Agnieszka B. Malinowska,Delfim F.M. Torres