Quantum Variational Calculus

Nonfiction, Science & Nature, Technology, Automation, Mathematics, Calculus
Cover of the book Quantum Variational Calculus by Agnieszka B. Malinowska, Delfim F.M. Torres, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Agnieszka B. Malinowska, Delfim F.M. Torres ISBN: 9783319027470
Publisher: Springer International Publishing Publication: November 29, 2013
Imprint: Springer Language: English
Author: Agnieszka B. Malinowska, Delfim F.M. Torres
ISBN: 9783319027470
Publisher: Springer International Publishing
Publication: November 29, 2013
Imprint: Springer
Language: English

This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications.

Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete.

Quantum Variational Calculus is self-contained and unified in presentation. It provides an opportunity for an introduction to the quantum calculus of variations for experienced researchers but may be used as an advanced textbook by graduate students and even ambitious undergraduates as well. The explanations in the book are detailed to capture the interest of the curious reader, and complete to provide the necessary background material needed to go further into the subject and explore the rich research literature, motivating further research activity in the area.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications.

Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete.

Quantum Variational Calculus is self-contained and unified in presentation. It provides an opportunity for an introduction to the quantum calculus of variations for experienced researchers but may be used as an advanced textbook by graduate students and even ambitious undergraduates as well. The explanations in the book are detailed to capture the interest of the curious reader, and complete to provide the necessary background material needed to go further into the subject and explore the rich research literature, motivating further research activity in the area.

More books from Springer International Publishing

Cover of the book Education and Youth Agency by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book The Economics of Professional Road Cycling by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Semantics, Pragmatics and Meaning Revisited by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Innovations in Technologies for Fermented Food and Beverage Industries by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Teacher Education in Lifelong Learning by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Soluble Bio-based Substances Isolated From Urban Wastes by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book The Functional Analysis of Quantum Information Theory by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Advances in Swarm Intelligence by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Power, Control and Optimization by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Clinical Cases in Early Orthodontic Treatment by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Medicalizing Counselling by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book The Yeomanry Cavalry and Military Identities in Rural Britain, 1815–1914 by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Land Allocation for Biomass Crops by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Switching on Plant Innate Immunity Signaling Systems by Agnieszka B. Malinowska, Delfim F.M. Torres
Cover of the book Microbial Nanobionics by Agnieszka B. Malinowska, Delfim F.M. Torres
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy