This item is printed on demand - it takes 3-4 days longer - Neuware -Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features of this Second Edition:The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal stringsComplex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectraExplicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractalExamples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formulaThe method of Diophantine approximation is used to study self-similar strings and flows Analytical and geometric methodsare used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functionsThroughout, new results are examined and anew definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. Thenewfinal chapterdiscusses several new topics and results obtained since the publication of the first edition.The significant studies and problems illuminated in this work may be used in a classroom setting at the graduate level. Fractal Geometry, Complex Dimensions and Zeta Functions, Second Editionwill appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics. 596 pp. Englisch.

Codice articolo 9781461421757

Contatta il venditore

Segnala questo articolo

Dati bibliografici

Titolo: Fractal Geometry, Complex Dimensions and Zeta Functions
Editore: Springer New York Sep 2012
Data di pubblicazione: 2012
Lingua: Inglese
ISBN 10: 1461421756
ISBN 13: 9781461421757
Rilegatura: Buch
Edizione: seconda edizione
Condizione: Neu
Dimensioni: 241 millimetri di larghezza per 160 millimetri di altezza per 35 millimetri di profondit�
Peso: 1051 grammi

Descrizione articolo

Riassunto

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

Dalla quarta di copertina

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings; that is, one-dimensional drums with fractal boundary. This second edition of Fractal Geometry, Complex Dimensions and Zeta Functions will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, complex analysis, distribution theory, and mathematical physics. The significant studies and problems illuminated in this work may be used in a classroom setting at the graduate level.

Key Features include:

� The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings

� Complex dimensions of a fractal string are studied in detail, and used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

The unique viewpoint of this book culminates in the definition of fractality as the presence of nonreal complex dimensions. The final chapter (13) is new to the second edition and discusses several new topics, results obtained since the publication of the first edition, and suggestions for future developments in the field.

Review of the First Edition:

" The book is self contained, the material organized in chapters preceded by an introduction and finally there are some interesting applications of the theory presented. ...The book is very well written and organized and the subject is very interesting and actually has many applications."

—Nicolae-Adrian Secelean, Zentralblatt

Key Features include:

� The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings

� Complex dimensions of a fractal string are studied in detail, and used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

Key Features include:

� The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings

� Complex dimensions of a fractal string are studied in detail, and used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

Key Features include:

� The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings

� Complex dimensions of a fractal string are studied in detail, and used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

� Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal

� Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula

� The method of Diophantine approximation is used to study self-similar strings and flows

� Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions

Review of the First Edition:

—Nicolae-Adrian Secelean, Zentralblatt

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

Descrizione libreria

Visita la pagina della libreria

Informazioni sull'azienda del venditore

BuchWeltWeit Ludwig Meier e.K.
Germany

Condizioni di vendita e spedizione

Condizioni di vendita

Allgemeine Gesch�ftsbedingungen mit Kundeninformationen
Inhaltsverzeichnis
Geltungsbereich
Vertragsschluss
Widerrufsrecht
Preise und Zahlungsbedingungen
Liefer- und Versandbedingungen
Eigentumsvorbehalt
M�ngelhaftung
Anwendbares Recht
Gerichtsstand
Alternative Streitbeilegung

Geltungsbereich
1.1 Diese Allgemeinen Gesch�ftsbedingungen (nachfolgend "AGB") des BuchWeltWeit Inh. Ludwig Meier e.K. (nachfolgend "Verk�ufer"), gelten f�r alle Vertr�ge, die ein Verbraucher oder Unternehmer (nachfolgend ?...

Ulteriori informazioni

Diritto di recesso

Se sei un consumatore puoi recedere dal contratto in conformit� con quanto segue. Per Consumatore si intende qualsiasi persona fisica che agisce per scopi estranei alla propria attivit� commerciale, imprenditoriale, artigianale o professionale.

Informazioni sul diritto di recesso

Diritto legale di recesso

Hai il diritto di recedere dal presente contratto entro 14 giorni senza fornire alcuna motivazione.

Il periodo di recesso scade dopo 14 giorni dal giorno in cui tu o una terza parte, diversa dal vettore e da te indicata, acquisisce il possesso fisico dell'ultimo bene o dell'ultimo lotto o pezzo.

Per esercitare il diritto di recesso, compila e invia elettronicamente una dichiarazione esplicita sul nostro sito Web, alla voce “I miei acquisti” nella sezione “Mio account”. Ti comunicheremo senza indugio una conferma di ricezione di tale recesso su un supporto durevole (ad es. via e-mail).

Per rispettare il termine di recesso, � sufficiente inviare la comunicazione relativa all'esercizio del diritto di recesso prima della scadenza del periodo di recesso stesso.

Effetti del recesso

In caso di recesso dal presente contratto, ti rimborseremo tutti i pagamenti ricevuti, compresi i costi di spedizione (ad eccezione dei costi supplementari derivanti dalla tua eventuale scelta di un tipo di spedizione diverso dal tipo meno costoso di consegna standard da noi offerto).

Potremo effettuare una detrazione dal rimborso per la perdita di valore dei beni forniti, qualora tale perdita sia il risultato di una manipolazione non necessaria da parte tua.

Eseguiremo il rimborso senza indebito ritardo e non oltre 14 giorni dal giorno in cui saremo informati della tua decisione di recedere dal presente contratto.

Il rimborso sar� effettuato utilizzando lo stesso mezzo di pagamento da te usato per la transazione iniziale, salvo che tu non abbia espressamente concordato altrimenti; in ogni caso, non dovrai sostenere alcun costo quale conseguenza di tale rimborso.

Possiamo trattenere il rimborso finch� non avremo ricevuto i beni oppure finch� non avrai fornito la prova di averli rispediti, a seconda di quale condizione si verifichi per prima.

Dovrai rispedire i beni o consegnarli a BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany, senza indebito ritardo e, in ogni caso, entro 14 giorni dal giorno in cui ci hai comunicato la tua volont� di recedere dal presente contratto. Il termine � rispettato se rispedisci i beni prima della scadenza del periodo di 14 giorni. I costi diretti della restituzione dei beni saranno a tuo carico. Sei responsabile solo della diminuzione del valore dei beni risultante da una manipolazione diversa da quella necessaria per stabilire la natura, le caratteristiche e il funzionamento dei beni stessi.

Eccezioni al diritto di recesso

Il diritto di recesso non si applica a:

La fornitura di giornali, periodici o riviste ad eccezione dei contratti di abbonamento; e
La fornitura di contenuto digitale non fornito su un supporto materiale (ad es. su un CD o DVD), se al momento dell'invio dell'ordine hai accettato l'inizio dell'esecuzione e hai riconosciuto che non avresti potuto recedere una volta iniziata l'esecuzione.

Condizioni di spedizione

Der Versand ins Ausland findet IMMER mit DHL statt. Auch nach �sterreich verschicken wir nur mit DHL! Daher Standardversand == Luftpost!

Tariffe di spedizione da Germania a U.S.A.

Tariffe di spedizione da Germania a U.S.A.
Quantit� dell'ordine	Da 5 a 15 giorni lavorativi	Da 5 a 15 giorni lavorativi
Primo articolo	EUR 23.00	EUR 23.00

I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.

Informazioni dettagliate sul venditore