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Quantum Variational Calculus
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. Pos...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | SpringerBriefs in Control, Automation and Robotics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-02747-0 | ||
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| 008 | 131129s2014 sz | s |||| 0|eng d | ||
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| 024 | 7 | |a 10.1007/978-3-319-02747-0 |2 doi | |
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| 100 | 1 | |a Malinowska, Agnieszka B. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Quantum Variational Calculus |h [electronic resource] / |c by Agnieszka B. Malinowska, Delfim F.M. Torres. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XVIII, 84 p. 3 illus. |b online resource. | ||
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| 490 | 1 | |a SpringerBriefs in Control, Automation and Robotics, |x 2192-6794 | |
| 505 | 0 | |a The Classical Calculus of Variations -- The Hahn Quantum Variational Calculus -- The Power Quantum Calculus -- Conclusion. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Control engineering. | |
| 650 | 0 | |a Econometrics. | |
| 650 | 0 | |a Quantum physics. | |
| 650 | 1 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Control and Systems Theory. |
| 650 | 2 | 4 | |a Quantitative Economics. |
| 650 | 2 | 4 | |a Quantum Physics. |
| 700 | 1 | |a Torres, Delfim F.M. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319027487 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319027463 |
| 830 | 0 | |a SpringerBriefs in Control, Automation and Robotics, |x 2192-6794 | |
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| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||