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001 978-3-319-02747-0
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008 131129s2014 gw | s |||| 0|eng d
020 _a9783319027470
_9978-3-319-02747-0
024 7 _a10.1007/978-3-319-02747-0
_2doi
050 4 _aQA315-316
050 4 _aQA402.3
050 4 _aQA402.5-QA402.6
072 7 _aPBKQ
_2bicssc
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072 7 _aMAT005000
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072 7 _aMAT029020
_2bisacsh
082 0 4 _a515.64
_223
100 1 _aMalinowska, Agnieszka B.
_eauthor.
245 1 0 _aQuantum Variational Calculus
_h[electronic resource] /
_cby Agnieszka B. Malinowska, Delfim F.M. Torres.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXVIII, 84 p. 3 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Electrical and Computer Engineering,
_x2191-8112
505 0 _aThe Classical Calculus of Variations -- The Hahn Quantum Variational Calculus -- The Power Quantum Calculus -- Conclusion.
520 _aThis 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 _aMathematics.
650 0 _aCalculus of variations.
650 0 _aQuantum physics.
650 0 _aControl engineering.
650 0 _aEconomic theory.
650 1 4 _aMathematics.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aControl.
650 2 4 _aEconomic Theory/Quantitative Economics/Mathematical Methods.
650 2 4 _aQuantum Physics.
700 1 _aTorres, Delfim F.M.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319027463
830 0 _aSpringerBriefs in Electrical and Computer Engineering,
_x2191-8112
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-02747-0
912 _aZDB-2-ENG
942 _cEBK
999 _c54642
_d54642