Foto dell'editore

Functional Fractional Calculus

Shantanu Das

0 valutazioni da GoodReads
ISBN 10: 3642205445 / ISBN 13: 9783642205446
Editore: Springer-Verlag Gmbh Jun 2011, 2011
Nuovi Condizione: Neu Buch
Da Rhein-Team Lörrach Ivano Narducci e.K. (Lörrach, Germania)

Libreria AbeBooks dal 11 gennaio 2012

Valutazione Libreria 5 stelle

Quantità: 1

Compra nuovo
Prezzo consigliato:
Prezzo: EUR 255,73 Convertire valuta
Spedizione: EUR 12,00 Da: Germania a: U.S.A. Destinazione, tempi e costi
Aggiungere al carrello

Riguardo questo articolo

Neuware - When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with 'ordinary' differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, description and then efficient controls. The normal physical laws like, transport theory, electrodynamics, equation of motions, elasticity, viscosity, and several others of are based on 'ordinary' calculus. In this book these physical laws are generalized in fractional calculus contexts; taking, heterogeneity effect in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, physics of random delay in computer network; and several others; mapping the reality of nature closely. The concept of fractional and complex order differentiation and integration are elaborated mathematically, physically and geometrically with examples. The practical utility of local fractional differentiation for enhancing the character of singularity at phase transition or characterizing the irregularity measure of response function is deliberated. Practical results of viscoelastic experiments, fractional order controls experiments, design of fractional controller and practical circuit synthesis for fractional order elements are elaborated in this book. The book also maps theory of classical integer order differential equations to fractional calculus contexts, and deals in details with conflicting and demanding initialization issues, required in classical techniques. The book presents a modern approach to solve the 'solvable' system of fractional and other differential equations, linear, non-linear; without perturbation or transformations, but by applying physical principle of action-and-opposite-reaction, giving 'approximately exact' series solutions. Historically, Sir Isaac Newton and Gottfried Wihelm Leibniz independently discovered calculus in the middle of the 17 th century. In recognition to this remarkable discovery, J.von Neumann remarked, '.the calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more equivocally than anything else the inception of modern mathematical analysis which is logical development, still constitute the greatest technical advance in exact thinking.' This XXI century has thus started to 'think-exactly' for advancement in science & technology by growing application of fractional calculus, and this century has started speaking the language which nature understands the best. 616 pp. Englisch. Codice inventario libreria 9783642205446

Fare una domanda alla libreria

Dati bibliografici

Titolo: Functional Fractional Calculus

Casa editrice: Springer-Verlag Gmbh Jun 2011

Data di pubblicazione: 2011

Legatura: Buch

Condizione libro:Neu

Descrizione articolo

Riassunto:

When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with ?ordinary? differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, description and then efficient controls.

The normal physical laws like, transport theory, electrodynamics, equation of motions, elasticity, viscosity, and several others of are based on ?ordinary? calculus. In this book these physical laws are generalized in fractional calculus contexts; taking, heterogeneity effect in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, physics of random delay in computer network; and several others; mapping the reality of nature closely.  The concept of fractional and complex order differentiation and integration are elaborated mathematically, physically and geometrically with examples. The practical utility of local fractional differentiation for enhancing the character of singularity at phase transition or characterizing the irregularity measure of response function is deliberated. Practical results of viscoelastic experiments, fractional order controls experiments, design of fractional controller and practical circuit synthesis for fractional order elements are elaborated in this book. The book also maps theory of classical integer order differential equations to fractional calculus contexts, and deals in details with conflicting and demanding initialization issues, required in classical techniques. The book presents a modern approach to solve the ?solvable? system of fractional and other differential equations, linear, non-linear; without perturbation or transformations, but by applying physical principle of action-and-opposite-reaction, giving ?approximately exact? series solutions.

Historically, Sir Isaac Newton and Gottfried Wihelm Leibniz independently discovered calculus in the middle of the 17th century. In recognition to this remarkable discovery, J.von Neumann remarked, ??the calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more equivocally than anything else the inception of modern mathematical analysis which is logical development, still constitute the greatest technical advance in exact thinking.?

This XXI century has thus started to ?think-exactly? for advancement in science & technology by growing application of fractional calculus, and this century has started speaking the language which nature understands the best.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

Visita la pagina della libreria

Condizioni di vendita:

Allgemeine Geschäftsbedingungen (abebooks.de)

Rhein-Team Lörrach, Inhaber Ivano Narducci e.K., Mühlestr. 1
D-79539 Lörrach, nachfolgend als Verkäufer bezeichnet.

§ 1 Allgemeines, Begriffsbestimmungen

(1) Der Verkäufer bietet unter dem Nutzernamen rhein-team unter der Plattform abebooks.de insbesondere Bücher an. Die folgenden Allgemeinen Geschäftsbedingungen (AGB) gelten für die Geschäftsbeziehung zwischen dem Verkäufer und dem Kunden in ihrer zum Zeitpunkt der Bestellung gültigen Fassung. Ferne...

Ulteriori informazioni
Condizioni di spedizione:

Die Ware wird innerhalb von 1-3 Tagen nach Bestelleingang verschickt. Bitte entnehmen Sie den voraussichtlichen Liefertermin Ihrer Bestellbestätigung. Die Versandkostenpauschalen basieren auf Durchschnittswerten für 1 kg schwere Bücher. Über abweichende Kosten (z.B. wegen eines sehr schweren Buches) werden Sie gegebenenfalls vom Verkäufer informiert.


Informazioni dettagliate sul venditore

Tutti i libri della libreria

Metodi di pagamento
accettati dalla libreria

Visa Mastercard American Express Carte Bleue

Assegno PayPal